On the inverse of the dual fractional Hankel transform

Abstract We deal with the inverse problem for the so-called dual fractional Hankel transform. We derive its expansion series as well as its integral representation. Moreover, its compactness has been discussed and the corresponding singular values are given explicitly. Some properties of the kernel...
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Gespeichert in:

Autor*in:	Ghanmi, Allal [verfasserIn] Hammam, Adam [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Schlagwörter:	Dual fractional Hankel transform Fractional Hankel transform Weighted Bergmann space

Anmerkung:	© The Author(s), under exclusive licence to Springer-Verlag Italia S.r.l., part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Übergeordnetes Werk:	Enthalten in: Rendiconti del Circolo Matematico di Palermo Series 2 - Springer International Publishing, 1884, 73(2023), 4 vom: 14. Dez., Seite 1289-1297
Übergeordnetes Werk:	volume:73 ; year:2023 ; number:4 ; day:14 ; month:12 ; pages:1289-1297

Links:	Volltext

DOI / URN:	10.1007/s12215-023-00985-2

Katalog-ID:	SPR056043902

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520			\|a Abstract We deal with the inverse problem for the so-called dual fractional Hankel transform. We derive its expansion series as well as its integral representation. Moreover, its compactness has been discussed and the corresponding singular values are given explicitly. Some properties of the kernel function have been investigated including its closed expression for some special cases.
650		4	\|a Dual fractional Hankel transform \|7 (dpeaa)DE-He213
650		4	\|a Fractional Hankel transform \|7 (dpeaa)DE-He213
650		4	\|a Weighted Bergmann space \|7 (dpeaa)DE-He213
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allfields	10.1007/s12215-023-00985-2 doi (DE-627)SPR056043902 (SPR)s12215-023-00985-2-e DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Ghanmi, Allal verfasserin (orcid)0000-0003-0764-5576 aut On the inverse of the dual fractional Hankel transform 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer-Verlag Italia S.r.l., part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract We deal with the inverse problem for the so-called dual fractional Hankel transform. We derive its expansion series as well as its integral representation. Moreover, its compactness has been discussed and the corresponding singular values are given explicitly. Some properties of the kernel function have been investigated including its closed expression for some special cases. Dual fractional Hankel transform (dpeaa)DE-He213 Fractional Hankel transform (dpeaa)DE-He213 Weighted Bergmann space (dpeaa)DE-He213 Hammam, Adam verfasserin (orcid)0009-0003-8272-4589 aut Enthalten in Rendiconti del Circolo Matematico di Palermo Series 2 Springer International Publishing, 1884 73(2023), 4 vom: 14. Dez., Seite 1289-1297 Online-Ressource (DE-627)560173067 (DE-600)2415092-7 (DE-576)283119969 1973-4409 nnns volume:73 year:2023 number:4 day:14 month:12 pages:1289-1297 https://dx.doi.org/10.1007/s12215-023-00985-2 X:SPRINGER Resolving-System lizenzpflichtig Volltext SYSFLAG_0 GBV_SPRINGER SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 73 2023 4 14 12 1289-1297
spelling	10.1007/s12215-023-00985-2 doi (DE-627)SPR056043902 (SPR)s12215-023-00985-2-e DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Ghanmi, Allal verfasserin (orcid)0000-0003-0764-5576 aut On the inverse of the dual fractional Hankel transform 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer-Verlag Italia S.r.l., part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract We deal with the inverse problem for the so-called dual fractional Hankel transform. We derive its expansion series as well as its integral representation. Moreover, its compactness has been discussed and the corresponding singular values are given explicitly. Some properties of the kernel function have been investigated including its closed expression for some special cases. Dual fractional Hankel transform (dpeaa)DE-He213 Fractional Hankel transform (dpeaa)DE-He213 Weighted Bergmann space (dpeaa)DE-He213 Hammam, Adam verfasserin (orcid)0009-0003-8272-4589 aut Enthalten in Rendiconti del Circolo Matematico di Palermo Series 2 Springer International Publishing, 1884 73(2023), 4 vom: 14. Dez., Seite 1289-1297 Online-Ressource (DE-627)560173067 (DE-600)2415092-7 (DE-576)283119969 1973-4409 nnns volume:73 year:2023 number:4 day:14 month:12 pages:1289-1297 https://dx.doi.org/10.1007/s12215-023-00985-2 X:SPRINGER Resolving-System lizenzpflichtig Volltext SYSFLAG_0 GBV_SPRINGER SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 73 2023 4 14 12 1289-1297
allfields_unstemmed	10.1007/s12215-023-00985-2 doi (DE-627)SPR056043902 (SPR)s12215-023-00985-2-e DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Ghanmi, Allal verfasserin (orcid)0000-0003-0764-5576 aut On the inverse of the dual fractional Hankel transform 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer-Verlag Italia S.r.l., part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract We deal with the inverse problem for the so-called dual fractional Hankel transform. We derive its expansion series as well as its integral representation. Moreover, its compactness has been discussed and the corresponding singular values are given explicitly. Some properties of the kernel function have been investigated including its closed expression for some special cases. Dual fractional Hankel transform (dpeaa)DE-He213 Fractional Hankel transform (dpeaa)DE-He213 Weighted Bergmann space (dpeaa)DE-He213 Hammam, Adam verfasserin (orcid)0009-0003-8272-4589 aut Enthalten in Rendiconti del Circolo Matematico di Palermo Series 2 Springer International Publishing, 1884 73(2023), 4 vom: 14. Dez., Seite 1289-1297 Online-Ressource (DE-627)560173067 (DE-600)2415092-7 (DE-576)283119969 1973-4409 nnns volume:73 year:2023 number:4 day:14 month:12 pages:1289-1297 https://dx.doi.org/10.1007/s12215-023-00985-2 X:SPRINGER Resolving-System lizenzpflichtig Volltext SYSFLAG_0 GBV_SPRINGER SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 73 2023 4 14 12 1289-1297
allfieldsGer	10.1007/s12215-023-00985-2 doi (DE-627)SPR056043902 (SPR)s12215-023-00985-2-e DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Ghanmi, Allal verfasserin (orcid)0000-0003-0764-5576 aut On the inverse of the dual fractional Hankel transform 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer-Verlag Italia S.r.l., part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract We deal with the inverse problem for the so-called dual fractional Hankel transform. We derive its expansion series as well as its integral representation. Moreover, its compactness has been discussed and the corresponding singular values are given explicitly. Some properties of the kernel function have been investigated including its closed expression for some special cases. Dual fractional Hankel transform (dpeaa)DE-He213 Fractional Hankel transform (dpeaa)DE-He213 Weighted Bergmann space (dpeaa)DE-He213 Hammam, Adam verfasserin (orcid)0009-0003-8272-4589 aut Enthalten in Rendiconti del Circolo Matematico di Palermo Series 2 Springer International Publishing, 1884 73(2023), 4 vom: 14. Dez., Seite 1289-1297 Online-Ressource (DE-627)560173067 (DE-600)2415092-7 (DE-576)283119969 1973-4409 nnns volume:73 year:2023 number:4 day:14 month:12 pages:1289-1297 https://dx.doi.org/10.1007/s12215-023-00985-2 X:SPRINGER Resolving-System lizenzpflichtig Volltext SYSFLAG_0 GBV_SPRINGER SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 73 2023 4 14 12 1289-1297
allfieldsSound	10.1007/s12215-023-00985-2 doi (DE-627)SPR056043902 (SPR)s12215-023-00985-2-e DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Ghanmi, Allal verfasserin (orcid)0000-0003-0764-5576 aut On the inverse of the dual fractional Hankel transform 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer-Verlag Italia S.r.l., part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract We deal with the inverse problem for the so-called dual fractional Hankel transform. We derive its expansion series as well as its integral representation. Moreover, its compactness has been discussed and the corresponding singular values are given explicitly. Some properties of the kernel function have been investigated including its closed expression for some special cases. Dual fractional Hankel transform (dpeaa)DE-He213 Fractional Hankel transform (dpeaa)DE-He213 Weighted Bergmann space (dpeaa)DE-He213 Hammam, Adam verfasserin (orcid)0009-0003-8272-4589 aut Enthalten in Rendiconti del Circolo Matematico di Palermo Series 2 Springer International Publishing, 1884 73(2023), 4 vom: 14. Dez., Seite 1289-1297 Online-Ressource (DE-627)560173067 (DE-600)2415092-7 (DE-576)283119969 1973-4409 nnns volume:73 year:2023 number:4 day:14 month:12 pages:1289-1297 https://dx.doi.org/10.1007/s12215-023-00985-2 X:SPRINGER Resolving-System lizenzpflichtig Volltext SYSFLAG_0 GBV_SPRINGER SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 73 2023 4 14 12 1289-1297
language	English
source	Enthalten in Rendiconti del Circolo Matematico di Palermo Series 2 73(2023), 4 vom: 14. Dez., Seite 1289-1297 volume:73 year:2023 number:4 day:14 month:12 pages:1289-1297
sourceStr	Enthalten in Rendiconti del Circolo Matematico di Palermo Series 2 73(2023), 4 vom: 14. Dez., Seite 1289-1297 volume:73 year:2023 number:4 day:14 month:12 pages:1289-1297
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Dual fractional Hankel transform Fractional Hankel transform Weighted Bergmann space
dewey-raw	510
isfreeaccess_bool	false
container_title	Rendiconti del Circolo Matematico di Palermo Series 2
authorswithroles_txt_mv	Ghanmi, Allal @@aut@@ Hammam, Adam @@aut@@
publishDateDaySort_date	2023-12-14T00:00:00Z
hierarchy_top_id	560173067
dewey-sort	3510
id	SPR056043902
language_de	englisch
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author	Ghanmi, Allal
spellingShingle	Ghanmi, Allal ddc 510 ssgn 17,1 misc Dual fractional Hankel transform misc Fractional Hankel transform misc Weighted Bergmann space On the inverse of the dual fractional Hankel transform
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topic_title	510 VZ 17,1 ssgn On the inverse of the dual fractional Hankel transform Dual fractional Hankel transform (dpeaa)DE-He213 Fractional Hankel transform (dpeaa)DE-He213 Weighted Bergmann space (dpeaa)DE-He213
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title	On the inverse of the dual fractional Hankel transform
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title_full	On the inverse of the dual fractional Hankel transform
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title_sort	on the inverse of the dual fractional hankel transform
title_auth	On the inverse of the dual fractional Hankel transform
abstract	Abstract We deal with the inverse problem for the so-called dual fractional Hankel transform. We derive its expansion series as well as its integral representation. Moreover, its compactness has been discussed and the corresponding singular values are given explicitly. Some properties of the kernel function have been investigated including its closed expression for some special cases. © The Author(s), under exclusive licence to Springer-Verlag Italia S.r.l., part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
abstractGer	Abstract We deal with the inverse problem for the so-called dual fractional Hankel transform. We derive its expansion series as well as its integral representation. Moreover, its compactness has been discussed and the corresponding singular values are given explicitly. Some properties of the kernel function have been investigated including its closed expression for some special cases. © The Author(s), under exclusive licence to Springer-Verlag Italia S.r.l., part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
abstract_unstemmed	Abstract We deal with the inverse problem for the so-called dual fractional Hankel transform. We derive its expansion series as well as its integral representation. Moreover, its compactness has been discussed and the corresponding singular values are given explicitly. Some properties of the kernel function have been investigated including its closed expression for some special cases. © The Author(s), under exclusive licence to Springer-Verlag Italia S.r.l., part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
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title_short	On the inverse of the dual fractional Hankel transform
url	https://dx.doi.org/10.1007/s12215-023-00985-2
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fullrecord_marcxml	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000naa a22002652 4500</leader><controlfield tag="001">SPR056043902</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20240530064806.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">240530s2023 xx \|\|\|\|\|o 00\| \|\|eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s12215-023-00985-2</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)SPR056043902</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(SPR)s12215-023-00985-2-e</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17,1</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Ghanmi, Allal</subfield><subfield code="e">verfasserin</subfield><subfield code="0">(orcid)0000-0003-0764-5576</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">On the inverse of the dual fractional Hankel transform</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2023</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© The Author(s), under exclusive licence to Springer-Verlag Italia S.r.l., part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract We deal with the inverse problem for the so-called dual fractional Hankel transform. We derive its expansion series as well as its integral representation. Moreover, its compactness has been discussed and the corresponding singular values are given explicitly. 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On the inverse of the dual fractional Hankel transform

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