Special Weber Transform with Nontrivial Kernel

Abstract We study the Weber integral transforms %$W_{k,k\pm1}%$, which have a nontrivial kernel, so that the spectral expansion contains not only the continuous part of the spectrum but also the zero eigenvalue corresponding to the kernel. The inversion formula, the spectral decomposition, and the P...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Gorshkov, A. V. [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Schlagwörter:	Weber transforms degenerate transform Stokes problem

Anmerkung:	© Pleiades Publishing, Ltd. 2023

Übergeordnetes Werk:	Enthalten in: Mathematical notes - Dordrecht [u.a.] : Springer Science + Business Media B.V, 1967, 114(2023), 1-2 vom: Aug., Seite 172-186
Übergeordnetes Werk:	volume:114 ; year:2023 ; number:1-2 ; month:08 ; pages:172-186

Links:	Volltext

DOI / URN:	10.1134/S0001434623070192

Katalog-ID:	SPR052859797

Internformat


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520			\|a Abstract We study the Weber integral transforms %$W_{k,k\pm1}%$, which have a nontrivial kernel, so that the spectral expansion contains not only the continuous part of the spectrum but also the zero eigenvalue corresponding to the kernel. The inversion formula, the spectral decomposition, and the Plancherel–Parseval equality are derived. These transforms are used in an explicit formula for the solution of the classical nonstationary Stokes problem on the flow past a circular cylinder.
650		4	\|a Weber transforms \|7 (dpeaa)DE-He213
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650		4	\|a Stokes problem \|7 (dpeaa)DE-He213
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912			\|a GBV_ILN_60
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912			\|a GBV_ILN_63
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912			\|a GBV_ILN_70
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912			\|a GBV_ILN_95
912			\|a GBV_ILN_100
912			\|a GBV_ILN_105
912			\|a GBV_ILN_110
912			\|a GBV_ILN_120
912			\|a GBV_ILN_138
912			\|a GBV_ILN_150
912			\|a GBV_ILN_151
912			\|a GBV_ILN_152
912			\|a GBV_ILN_161
912			\|a GBV_ILN_170
912			\|a GBV_ILN_171
912			\|a GBV_ILN_187
912			\|a GBV_ILN_206
912			\|a GBV_ILN_213
912			\|a GBV_ILN_224
912			\|a GBV_ILN_230
912			\|a GBV_ILN_250
912			\|a GBV_ILN_281
912			\|a GBV_ILN_285
912			\|a GBV_ILN_293
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
912			\|a GBV_ILN_636
912			\|a GBV_ILN_702
912			\|a GBV_ILN_2001
912			\|a GBV_ILN_2003
912			\|a GBV_ILN_2004
912			\|a GBV_ILN_2005
912			\|a GBV_ILN_2006
912			\|a GBV_ILN_2007
912			\|a GBV_ILN_2008
912			\|a GBV_ILN_2009
912			\|a GBV_ILN_2010
912			\|a GBV_ILN_2011
912			\|a GBV_ILN_2014
912			\|a GBV_ILN_2015
912			\|a GBV_ILN_2020
912			\|a GBV_ILN_2021
912			\|a GBV_ILN_2025
912			\|a GBV_ILN_2026
912			\|a GBV_ILN_2027
912			\|a GBV_ILN_2031
912			\|a GBV_ILN_2034
912			\|a GBV_ILN_2037
912			\|a GBV_ILN_2038
912			\|a GBV_ILN_2039
912			\|a GBV_ILN_2044
912			\|a GBV_ILN_2048
912			\|a GBV_ILN_2049
912			\|a GBV_ILN_2050
912			\|a GBV_ILN_2055
912			\|a GBV_ILN_2056
912			\|a GBV_ILN_2057
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912			\|a GBV_ILN_2061
912			\|a GBV_ILN_2064
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912			\|a GBV_ILN_2088
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912			\|a GBV_ILN_2106
912			\|a GBV_ILN_2107
912			\|a GBV_ILN_2108
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912			\|a GBV_ILN_2470
912			\|a GBV_ILN_2472
912			\|a GBV_ILN_2507
912			\|a GBV_ILN_2522
912			\|a GBV_ILN_2548
912			\|a GBV_ILN_4035
912			\|a GBV_ILN_4037
912			\|a GBV_ILN_4046
912			\|a GBV_ILN_4112
912			\|a GBV_ILN_4125
912			\|a GBV_ILN_4126
912			\|a GBV_ILN_4242
912			\|a GBV_ILN_4246
912			\|a GBV_ILN_4249
912			\|a GBV_ILN_4251
912			\|a GBV_ILN_4305
912			\|a GBV_ILN_4306
912			\|a GBV_ILN_4307
912			\|a GBV_ILN_4313
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allfields	10.1134/S0001434623070192 doi (DE-627)SPR052859797 (SPR)S0001434623070192-e DE-627 ger DE-627 rakwb eng Gorshkov, A. V. verfasserin aut Special Weber Transform with Nontrivial Kernel 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Pleiades Publishing, Ltd. 2023 Abstract We study the Weber integral transforms %$W_{k,k\pm1}%$, which have a nontrivial kernel, so that the spectral expansion contains not only the continuous part of the spectrum but also the zero eigenvalue corresponding to the kernel. The inversion formula, the spectral decomposition, and the Plancherel–Parseval equality are derived. These transforms are used in an explicit formula for the solution of the classical nonstationary Stokes problem on the flow past a circular cylinder. Weber transforms (dpeaa)DE-He213 degenerate transform (dpeaa)DE-He213 Stokes problem (dpeaa)DE-He213 Enthalten in Mathematical notes Dordrecht [u.a.] : Springer Science + Business Media B.V, 1967 114(2023), 1-2 vom: Aug., Seite 172-186 (DE-627)32557328X (DE-600)2037663-7 1573-8876 nnns volume:114 year:2023 number:1-2 month:08 pages:172-186 https://dx.doi.org/10.1134/S0001434623070192 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_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_206 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 114 2023 1-2 08 172-186
spelling	10.1134/S0001434623070192 doi (DE-627)SPR052859797 (SPR)S0001434623070192-e DE-627 ger DE-627 rakwb eng Gorshkov, A. V. verfasserin aut Special Weber Transform with Nontrivial Kernel 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Pleiades Publishing, Ltd. 2023 Abstract We study the Weber integral transforms %$W_{k,k\pm1}%$, which have a nontrivial kernel, so that the spectral expansion contains not only the continuous part of the spectrum but also the zero eigenvalue corresponding to the kernel. The inversion formula, the spectral decomposition, and the Plancherel–Parseval equality are derived. These transforms are used in an explicit formula for the solution of the classical nonstationary Stokes problem on the flow past a circular cylinder. Weber transforms (dpeaa)DE-He213 degenerate transform (dpeaa)DE-He213 Stokes problem (dpeaa)DE-He213 Enthalten in Mathematical notes Dordrecht [u.a.] : Springer Science + Business Media B.V, 1967 114(2023), 1-2 vom: Aug., Seite 172-186 (DE-627)32557328X (DE-600)2037663-7 1573-8876 nnns volume:114 year:2023 number:1-2 month:08 pages:172-186 https://dx.doi.org/10.1134/S0001434623070192 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_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_206 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 114 2023 1-2 08 172-186
allfields_unstemmed	10.1134/S0001434623070192 doi (DE-627)SPR052859797 (SPR)S0001434623070192-e DE-627 ger DE-627 rakwb eng Gorshkov, A. V. verfasserin aut Special Weber Transform with Nontrivial Kernel 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Pleiades Publishing, Ltd. 2023 Abstract We study the Weber integral transforms %$W_{k,k\pm1}%$, which have a nontrivial kernel, so that the spectral expansion contains not only the continuous part of the spectrum but also the zero eigenvalue corresponding to the kernel. The inversion formula, the spectral decomposition, and the Plancherel–Parseval equality are derived. These transforms are used in an explicit formula for the solution of the classical nonstationary Stokes problem on the flow past a circular cylinder. Weber transforms (dpeaa)DE-He213 degenerate transform (dpeaa)DE-He213 Stokes problem (dpeaa)DE-He213 Enthalten in Mathematical notes Dordrecht [u.a.] : Springer Science + Business Media B.V, 1967 114(2023), 1-2 vom: Aug., Seite 172-186 (DE-627)32557328X (DE-600)2037663-7 1573-8876 nnns volume:114 year:2023 number:1-2 month:08 pages:172-186 https://dx.doi.org/10.1134/S0001434623070192 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_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_206 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 114 2023 1-2 08 172-186
allfieldsGer	10.1134/S0001434623070192 doi (DE-627)SPR052859797 (SPR)S0001434623070192-e DE-627 ger DE-627 rakwb eng Gorshkov, A. V. verfasserin aut Special Weber Transform with Nontrivial Kernel 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Pleiades Publishing, Ltd. 2023 Abstract We study the Weber integral transforms %$W_{k,k\pm1}%$, which have a nontrivial kernel, so that the spectral expansion contains not only the continuous part of the spectrum but also the zero eigenvalue corresponding to the kernel. The inversion formula, the spectral decomposition, and the Plancherel–Parseval equality are derived. These transforms are used in an explicit formula for the solution of the classical nonstationary Stokes problem on the flow past a circular cylinder. Weber transforms (dpeaa)DE-He213 degenerate transform (dpeaa)DE-He213 Stokes problem (dpeaa)DE-He213 Enthalten in Mathematical notes Dordrecht [u.a.] : Springer Science + Business Media B.V, 1967 114(2023), 1-2 vom: Aug., Seite 172-186 (DE-627)32557328X (DE-600)2037663-7 1573-8876 nnns volume:114 year:2023 number:1-2 month:08 pages:172-186 https://dx.doi.org/10.1134/S0001434623070192 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_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_206 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 114 2023 1-2 08 172-186
allfieldsSound	10.1134/S0001434623070192 doi (DE-627)SPR052859797 (SPR)S0001434623070192-e DE-627 ger DE-627 rakwb eng Gorshkov, A. V. verfasserin aut Special Weber Transform with Nontrivial Kernel 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Pleiades Publishing, Ltd. 2023 Abstract We study the Weber integral transforms %$W_{k,k\pm1}%$, which have a nontrivial kernel, so that the spectral expansion contains not only the continuous part of the spectrum but also the zero eigenvalue corresponding to the kernel. The inversion formula, the spectral decomposition, and the Plancherel–Parseval equality are derived. These transforms are used in an explicit formula for the solution of the classical nonstationary Stokes problem on the flow past a circular cylinder. Weber transforms (dpeaa)DE-He213 degenerate transform (dpeaa)DE-He213 Stokes problem (dpeaa)DE-He213 Enthalten in Mathematical notes Dordrecht [u.a.] : Springer Science + Business Media B.V, 1967 114(2023), 1-2 vom: Aug., Seite 172-186 (DE-627)32557328X (DE-600)2037663-7 1573-8876 nnns volume:114 year:2023 number:1-2 month:08 pages:172-186 https://dx.doi.org/10.1134/S0001434623070192 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_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_206 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 114 2023 1-2 08 172-186
language	English
source	Enthalten in Mathematical notes 114(2023), 1-2 vom: Aug., Seite 172-186 volume:114 year:2023 number:1-2 month:08 pages:172-186
sourceStr	Enthalten in Mathematical notes 114(2023), 1-2 vom: Aug., Seite 172-186 volume:114 year:2023 number:1-2 month:08 pages:172-186
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Weber transforms degenerate transform Stokes problem
isfreeaccess_bool	false
container_title	Mathematical notes
authorswithroles_txt_mv	Gorshkov, A. V. @@aut@@
publishDateDaySort_date	2023-08-01T00:00:00Z
hierarchy_top_id	32557328X
id	SPR052859797
language_de	englisch
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author	Gorshkov, A. V.
spellingShingle	Gorshkov, A. V. misc Weber transforms misc degenerate transform misc Stokes problem Special Weber Transform with Nontrivial Kernel
authorStr	Gorshkov, A. V.
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topic_title	Special Weber Transform with Nontrivial Kernel Weber transforms (dpeaa)DE-He213 degenerate transform (dpeaa)DE-He213 Stokes problem (dpeaa)DE-He213
topic	misc Weber transforms misc degenerate transform misc Stokes problem
topic_unstemmed	misc Weber transforms misc degenerate transform misc Stokes problem
topic_browse	misc Weber transforms misc degenerate transform misc Stokes problem
format_facet	Elektronische Aufsätze Aufsätze Elektronische Ressource
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title	Special Weber Transform with Nontrivial Kernel
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title_full	Special Weber Transform with Nontrivial Kernel
author_sort	Gorshkov, A. V.
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author-letter	Gorshkov, A. V.
doi_str_mv	10.1134/S0001434623070192
title_sort	special weber transform with nontrivial kernel
title_auth	Special Weber Transform with Nontrivial Kernel
abstract	Abstract We study the Weber integral transforms %$W_{k,k\pm1}%$, which have a nontrivial kernel, so that the spectral expansion contains not only the continuous part of the spectrum but also the zero eigenvalue corresponding to the kernel. The inversion formula, the spectral decomposition, and the Plancherel–Parseval equality are derived. These transforms are used in an explicit formula for the solution of the classical nonstationary Stokes problem on the flow past a circular cylinder. © Pleiades Publishing, Ltd. 2023
abstractGer	Abstract We study the Weber integral transforms %$W_{k,k\pm1}%$, which have a nontrivial kernel, so that the spectral expansion contains not only the continuous part of the spectrum but also the zero eigenvalue corresponding to the kernel. The inversion formula, the spectral decomposition, and the Plancherel–Parseval equality are derived. These transforms are used in an explicit formula for the solution of the classical nonstationary Stokes problem on the flow past a circular cylinder. © Pleiades Publishing, Ltd. 2023
abstract_unstemmed	Abstract We study the Weber integral transforms %$W_{k,k\pm1}%$, which have a nontrivial kernel, so that the spectral expansion contains not only the continuous part of the spectrum but also the zero eigenvalue corresponding to the kernel. The inversion formula, the spectral decomposition, and the Plancherel–Parseval equality are derived. These transforms are used in an explicit formula for the solution of the classical nonstationary Stokes problem on the flow past a circular cylinder. © Pleiades Publishing, Ltd. 2023
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title_short	Special Weber Transform with Nontrivial Kernel
url	https://dx.doi.org/10.1134/S0001434623070192
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The inversion formula, the spectral decomposition, and the Plancherel–Parseval equality are derived. 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