Quasi-monogenic Functions

Abstract The aim of this work is to introduce quasi-monogenic functions, to prove their properties and to discuss some examples. Quasi-monogenic functions are null solutions of a differential operator with Fourier symbol %$|\underline{\xi }| m(\underline{\xi }),%$ where %$m(\underline{\xi })%$ is an...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Bernstein, Swanhild [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2018

Schlagwörter:	Monogenic functions Quasi-monogenic functions Riesz transforms Riesz–Hilbert transforms

Anmerkung:	© Springer Nature Switzerland AG 2018

Übergeordnetes Werk:	Enthalten in: Advances in applied Clifford algebras - Cham (ZG) : Springer International Publishing AG, 1997, 28(2018), 5 vom: 29. Sept.
Übergeordnetes Werk:	volume:28 ; year:2018 ; number:5 ; day:29 ; month:09

Links:	Volltext

DOI / URN:	10.1007/s00006-018-0908-1

Katalog-ID:	SPR000096466

Internformat


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520			\|a Abstract The aim of this work is to introduce quasi-monogenic functions, to prove their properties and to discuss some examples. Quasi-monogenic functions are null solutions of a differential operator with Fourier symbol %$\|\underline{\xi }\| m(\underline{\xi }),%$ where %$m(\underline{\xi })%$ is an %$L^p%$- multiplier. Furthermore, %$m(\underline{\xi })%$ is the Fourier symbol of a generalized Riesz–Hilbert transform. As examples we investigate the Riesz–Hilbert transform, higher Riesz–Hilbert transforms, and the linearized Riesz transforms.
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650		4	\|a Quasi-monogenic functions \|7 (dpeaa)DE-He213
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912			\|a GBV_ILN_73
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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_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
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912			\|a GBV_ILN_2007
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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_2057
912			\|a GBV_ILN_2059
912			\|a GBV_ILN_2061
912			\|a GBV_ILN_2064
912			\|a GBV_ILN_2065
912			\|a GBV_ILN_2068
912			\|a GBV_ILN_2070
912			\|a GBV_ILN_2086
912			\|a GBV_ILN_2088
912			\|a GBV_ILN_2093
912			\|a GBV_ILN_2106
912			\|a GBV_ILN_2107
912			\|a GBV_ILN_2108
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912			\|a GBV_ILN_2122
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912			\|a GBV_ILN_2152
912			\|a GBV_ILN_2153
912			\|a GBV_ILN_2188
912			\|a GBV_ILN_2190
912			\|a GBV_ILN_2232
912			\|a GBV_ILN_2336
912			\|a GBV_ILN_2446
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_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
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912			\|a GBV_ILN_4322
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912			\|a GBV_ILN_4324
912			\|a GBV_ILN_4325
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912			\|a GBV_ILN_4333
912			\|a GBV_ILN_4334
912			\|a GBV_ILN_4335
912			\|a GBV_ILN_4336
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Indexfelder

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publishDate	2018
allfields	10.1007/s00006-018-0908-1 doi (DE-627)SPR000096466 (SPR)s00006-018-0908-1-e DE-627 ger DE-627 rakwb eng Bernstein, Swanhild verfasserin (orcid)0000-0002-8603-6682 aut Quasi-monogenic Functions 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Nature Switzerland AG 2018 Abstract The aim of this work is to introduce quasi-monogenic functions, to prove their properties and to discuss some examples. Quasi-monogenic functions are null solutions of a differential operator with Fourier symbol %$\|\underline{\xi }\| m(\underline{\xi }),%$ where %$m(\underline{\xi })%$ is an %$L^p%$- multiplier. Furthermore, %$m(\underline{\xi })%$ is the Fourier symbol of a generalized Riesz–Hilbert transform. As examples we investigate the Riesz–Hilbert transform, higher Riesz–Hilbert transforms, and the linearized Riesz transforms. Monogenic functions (dpeaa)DE-He213 Quasi-monogenic functions (dpeaa)DE-He213 Riesz transforms (dpeaa)DE-He213 Riesz–Hilbert transforms (dpeaa)DE-He213 Enthalten in Advances in applied Clifford algebras Cham (ZG) : Springer International Publishing AG, 1997 28(2018), 5 vom: 29. Sept. (DE-627)507183274 (DE-600)2220151-8 1661-4909 nnns volume:28 year:2018 number:5 day:29 month:09 https://dx.doi.org/10.1007/s00006-018-0908-1 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_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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 28 2018 5 29 09
spelling	10.1007/s00006-018-0908-1 doi (DE-627)SPR000096466 (SPR)s00006-018-0908-1-e DE-627 ger DE-627 rakwb eng Bernstein, Swanhild verfasserin (orcid)0000-0002-8603-6682 aut Quasi-monogenic Functions 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Nature Switzerland AG 2018 Abstract The aim of this work is to introduce quasi-monogenic functions, to prove their properties and to discuss some examples. Quasi-monogenic functions are null solutions of a differential operator with Fourier symbol %$\|\underline{\xi }\| m(\underline{\xi }),%$ where %$m(\underline{\xi })%$ is an %$L^p%$- multiplier. Furthermore, %$m(\underline{\xi })%$ is the Fourier symbol of a generalized Riesz–Hilbert transform. As examples we investigate the Riesz–Hilbert transform, higher Riesz–Hilbert transforms, and the linearized Riesz transforms. Monogenic functions (dpeaa)DE-He213 Quasi-monogenic functions (dpeaa)DE-He213 Riesz transforms (dpeaa)DE-He213 Riesz–Hilbert transforms (dpeaa)DE-He213 Enthalten in Advances in applied Clifford algebras Cham (ZG) : Springer International Publishing AG, 1997 28(2018), 5 vom: 29. Sept. (DE-627)507183274 (DE-600)2220151-8 1661-4909 nnns volume:28 year:2018 number:5 day:29 month:09 https://dx.doi.org/10.1007/s00006-018-0908-1 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_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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 28 2018 5 29 09
allfields_unstemmed	10.1007/s00006-018-0908-1 doi (DE-627)SPR000096466 (SPR)s00006-018-0908-1-e DE-627 ger DE-627 rakwb eng Bernstein, Swanhild verfasserin (orcid)0000-0002-8603-6682 aut Quasi-monogenic Functions 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Nature Switzerland AG 2018 Abstract The aim of this work is to introduce quasi-monogenic functions, to prove their properties and to discuss some examples. Quasi-monogenic functions are null solutions of a differential operator with Fourier symbol %$\|\underline{\xi }\| m(\underline{\xi }),%$ where %$m(\underline{\xi })%$ is an %$L^p%$- multiplier. Furthermore, %$m(\underline{\xi })%$ is the Fourier symbol of a generalized Riesz–Hilbert transform. As examples we investigate the Riesz–Hilbert transform, higher Riesz–Hilbert transforms, and the linearized Riesz transforms. Monogenic functions (dpeaa)DE-He213 Quasi-monogenic functions (dpeaa)DE-He213 Riesz transforms (dpeaa)DE-He213 Riesz–Hilbert transforms (dpeaa)DE-He213 Enthalten in Advances in applied Clifford algebras Cham (ZG) : Springer International Publishing AG, 1997 28(2018), 5 vom: 29. Sept. (DE-627)507183274 (DE-600)2220151-8 1661-4909 nnns volume:28 year:2018 number:5 day:29 month:09 https://dx.doi.org/10.1007/s00006-018-0908-1 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_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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 28 2018 5 29 09
allfieldsGer	10.1007/s00006-018-0908-1 doi (DE-627)SPR000096466 (SPR)s00006-018-0908-1-e DE-627 ger DE-627 rakwb eng Bernstein, Swanhild verfasserin (orcid)0000-0002-8603-6682 aut Quasi-monogenic Functions 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Nature Switzerland AG 2018 Abstract The aim of this work is to introduce quasi-monogenic functions, to prove their properties and to discuss some examples. Quasi-monogenic functions are null solutions of a differential operator with Fourier symbol %$\|\underline{\xi }\| m(\underline{\xi }),%$ where %$m(\underline{\xi })%$ is an %$L^p%$- multiplier. Furthermore, %$m(\underline{\xi })%$ is the Fourier symbol of a generalized Riesz–Hilbert transform. As examples we investigate the Riesz–Hilbert transform, higher Riesz–Hilbert transforms, and the linearized Riesz transforms. Monogenic functions (dpeaa)DE-He213 Quasi-monogenic functions (dpeaa)DE-He213 Riesz transforms (dpeaa)DE-He213 Riesz–Hilbert transforms (dpeaa)DE-He213 Enthalten in Advances in applied Clifford algebras Cham (ZG) : Springer International Publishing AG, 1997 28(2018), 5 vom: 29. Sept. (DE-627)507183274 (DE-600)2220151-8 1661-4909 nnns volume:28 year:2018 number:5 day:29 month:09 https://dx.doi.org/10.1007/s00006-018-0908-1 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_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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 28 2018 5 29 09
allfieldsSound	10.1007/s00006-018-0908-1 doi (DE-627)SPR000096466 (SPR)s00006-018-0908-1-e DE-627 ger DE-627 rakwb eng Bernstein, Swanhild verfasserin (orcid)0000-0002-8603-6682 aut Quasi-monogenic Functions 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Nature Switzerland AG 2018 Abstract The aim of this work is to introduce quasi-monogenic functions, to prove their properties and to discuss some examples. Quasi-monogenic functions are null solutions of a differential operator with Fourier symbol %$\|\underline{\xi }\| m(\underline{\xi }),%$ where %$m(\underline{\xi })%$ is an %$L^p%$- multiplier. Furthermore, %$m(\underline{\xi })%$ is the Fourier symbol of a generalized Riesz–Hilbert transform. As examples we investigate the Riesz–Hilbert transform, higher Riesz–Hilbert transforms, and the linearized Riesz transforms. Monogenic functions (dpeaa)DE-He213 Quasi-monogenic functions (dpeaa)DE-He213 Riesz transforms (dpeaa)DE-He213 Riesz–Hilbert transforms (dpeaa)DE-He213 Enthalten in Advances in applied Clifford algebras Cham (ZG) : Springer International Publishing AG, 1997 28(2018), 5 vom: 29. Sept. (DE-627)507183274 (DE-600)2220151-8 1661-4909 nnns volume:28 year:2018 number:5 day:29 month:09 https://dx.doi.org/10.1007/s00006-018-0908-1 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_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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 28 2018 5 29 09
language	English
source	Enthalten in Advances in applied Clifford algebras 28(2018), 5 vom: 29. Sept. volume:28 year:2018 number:5 day:29 month:09
sourceStr	Enthalten in Advances in applied Clifford algebras 28(2018), 5 vom: 29. Sept. volume:28 year:2018 number:5 day:29 month:09
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Monogenic functions Quasi-monogenic functions Riesz transforms Riesz–Hilbert transforms
isfreeaccess_bool	false
container_title	Advances in applied Clifford algebras
authorswithroles_txt_mv	Bernstein, Swanhild @@aut@@
publishDateDaySort_date	2018-09-29T00:00:00Z
hierarchy_top_id	507183274
id	SPR000096466
language_de	englisch
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author	Bernstein, Swanhild
spellingShingle	Bernstein, Swanhild misc Monogenic functions misc Quasi-monogenic functions misc Riesz transforms misc Riesz–Hilbert transforms Quasi-monogenic Functions
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topic_title	Quasi-monogenic Functions Monogenic functions (dpeaa)DE-He213 Quasi-monogenic functions (dpeaa)DE-He213 Riesz transforms (dpeaa)DE-He213 Riesz–Hilbert transforms (dpeaa)DE-He213
topic	misc Monogenic functions misc Quasi-monogenic functions misc Riesz transforms misc Riesz–Hilbert transforms
topic_unstemmed	misc Monogenic functions misc Quasi-monogenic functions misc Riesz transforms misc Riesz–Hilbert transforms
topic_browse	misc Monogenic functions misc Quasi-monogenic functions misc Riesz transforms misc Riesz–Hilbert transforms
format_facet	Elektronische Aufsätze Aufsätze Elektronische Ressource
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title	Quasi-monogenic Functions
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title_full	Quasi-monogenic Functions
author_sort	Bernstein, Swanhild
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author_browse	Bernstein, Swanhild
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author-letter	Bernstein, Swanhild
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title_sort	quasi-monogenic functions
title_auth	Quasi-monogenic Functions
abstract	Abstract The aim of this work is to introduce quasi-monogenic functions, to prove their properties and to discuss some examples. Quasi-monogenic functions are null solutions of a differential operator with Fourier symbol %$\|\underline{\xi }\| m(\underline{\xi }),%$ where %$m(\underline{\xi })%$ is an %$L^p%$- multiplier. Furthermore, %$m(\underline{\xi })%$ is the Fourier symbol of a generalized Riesz–Hilbert transform. As examples we investigate the Riesz–Hilbert transform, higher Riesz–Hilbert transforms, and the linearized Riesz transforms. © Springer Nature Switzerland AG 2018
abstractGer	Abstract The aim of this work is to introduce quasi-monogenic functions, to prove their properties and to discuss some examples. Quasi-monogenic functions are null solutions of a differential operator with Fourier symbol %$\|\underline{\xi }\| m(\underline{\xi }),%$ where %$m(\underline{\xi })%$ is an %$L^p%$- multiplier. Furthermore, %$m(\underline{\xi })%$ is the Fourier symbol of a generalized Riesz–Hilbert transform. As examples we investigate the Riesz–Hilbert transform, higher Riesz–Hilbert transforms, and the linearized Riesz transforms. © Springer Nature Switzerland AG 2018
abstract_unstemmed	Abstract The aim of this work is to introduce quasi-monogenic functions, to prove their properties and to discuss some examples. Quasi-monogenic functions are null solutions of a differential operator with Fourier symbol %$\|\underline{\xi }\| m(\underline{\xi }),%$ where %$m(\underline{\xi })%$ is an %$L^p%$- multiplier. Furthermore, %$m(\underline{\xi })%$ is the Fourier symbol of a generalized Riesz–Hilbert transform. As examples we investigate the Riesz–Hilbert transform, higher Riesz–Hilbert transforms, and the linearized Riesz transforms. © Springer Nature Switzerland AG 2018
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title_short	Quasi-monogenic Functions
url	https://dx.doi.org/10.1007/s00006-018-0908-1
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up_date	2024-07-03T13:57:13.543Z
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fullrecord_marcxml	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">SPR000096466</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230327124922.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">201001s2018 xx \|\|\|\|\|o 00\| \|\|eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s00006-018-0908-1</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)SPR000096466</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(SPR)s00006-018-0908-1-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="100" ind1="1" ind2=" "><subfield code="a">Bernstein, Swanhild</subfield><subfield code="e">verfasserin</subfield><subfield code="0">(orcid)0000-0002-8603-6682</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Quasi-monogenic Functions</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2018</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">© Springer Nature Switzerland AG 2018</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract The aim of this work is to introduce quasi-monogenic functions, to prove their properties and to discuss some examples. Quasi-monogenic functions are null solutions of a differential operator with Fourier symbol %$\|\underline{\xi }\| m(\underline{\xi }),%$ where %$m(\underline{\xi })%$ is an %$L^p%$- multiplier. Furthermore, %$m(\underline{\xi })%$ is the Fourier symbol of a generalized Riesz–Hilbert transform. 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