Wavelet Transform of Dini Lipschitz Functions on the Quaternion Algebra
Abstract In this present work, we generalize Titchmarsh’s theorem for the complex- or hypercomplex-valued functions. Firstly, we examine the order of magnitude of the windowed linear canonical transform (WLCT) of complex-valued functions that achieved certain Lipschitz conditions on %${\mathbb {R}}%...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Bouhlal, A. [verfasserIn] Safouane, N. [verfasserIn] Achak, A. [verfasserIn] Daher, R. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2021 |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: Advances in applied Clifford algebras - Cham (ZG) : Springer International Publishing AG, 1997, 31(2021), 1 vom: 05. Jan. |
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| Übergeordnetes Werk: |
volume:31 ; year:2021 ; number:1 ; day:05 ; month:01 |
| Links: |
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| DOI / URN: |
10.1007/s00006-020-01112-5 |
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| Katalog-ID: |
SPR042565219 |
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| 245 | 1 | 0 | |a Wavelet Transform of Dini Lipschitz Functions on the Quaternion Algebra |
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| 520 | |a Abstract In this present work, we generalize Titchmarsh’s theorem for the complex- or hypercomplex-valued functions. Firstly, we examine the order of magnitude of the windowed linear canonical transform (WLCT) of complex-valued functions that achieved certain Lipschitz conditions on %${\mathbb {R}}%$. Secondly, we studied the order of magnitude of the 2-D continuous quaternion wavelet transform (CQWT) of certain quaternionic valued Lipschitz functions. | ||
| 650 | 4 | |a Complex-valued function |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Windowed linear canonical transform |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Quaternion algebra |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Admissible quaternion wavelet |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Safouane, N. |e verfasserin |4 aut | |
| 700 | 1 | |a Achak, A. |e verfasserin |4 aut | |
| 700 | 1 | |a Daher, R. |e verfasserin |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Advances in applied Clifford algebras |d Cham (ZG) : Springer International Publishing AG, 1997 |g 31(2021), 1 vom: 05. Jan. |w (DE-627)507183274 |w (DE-600)2220151-8 |x 1661-4909 |7 nnns |
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| 856 | 4 | 0 | |u https://dx.doi.org/10.1007/s00006-020-01112-5 |z lizenzpflichtig |3 Volltext |
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| 912 | |a GBV_ILN_120 | ||
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| 912 | |a GBV_ILN_150 | ||
| 912 | |a GBV_ILN_151 | ||
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| 912 | |a GBV_ILN_171 | ||
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| 912 | |a GBV_ILN_224 | ||
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| 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 | ||
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| 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 | ||
| 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_2088 | ||
| 912 | |a GBV_ILN_2093 | ||
| 912 | |a GBV_ILN_2106 | ||
| 912 | |a GBV_ILN_2107 | ||
| 912 | |a GBV_ILN_2108 | ||
| 912 | |a GBV_ILN_2110 | ||
| 912 | |a GBV_ILN_2111 | ||
| 912 | |a GBV_ILN_2112 | ||
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| 912 | |a GBV_ILN_2118 | ||
| 912 | |a GBV_ILN_2122 | ||
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| 912 | |a GBV_ILN_2143 | ||
| 912 | |a GBV_ILN_2144 | ||
| 912 | |a GBV_ILN_2147 | ||
| 912 | |a GBV_ILN_2148 | ||
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31.25 |
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10.1007/s00006-020-01112-5 doi (DE-627)SPR042565219 (DE-599)SPRs00006-020-01112-5-e (SPR)s00006-020-01112-5-e DE-627 ger DE-627 rakwb eng 510 ASE 31.25 bkl Bouhlal, A. verfasserin aut Wavelet Transform of Dini Lipschitz Functions on the Quaternion Algebra 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this present work, we generalize Titchmarsh’s theorem for the complex- or hypercomplex-valued functions. Firstly, we examine the order of magnitude of the windowed linear canonical transform (WLCT) of complex-valued functions that achieved certain Lipschitz conditions on %${\mathbb {R}}%$. Secondly, we studied the order of magnitude of the 2-D continuous quaternion wavelet transform (CQWT) of certain quaternionic valued Lipschitz functions. Complex-valued function (dpeaa)DE-He213 Windowed linear canonical transform (dpeaa)DE-He213 Quaternion algebra (dpeaa)DE-He213 Admissible quaternion wavelet (dpeaa)DE-He213 Safouane, N. verfasserin aut Achak, A. verfasserin aut Daher, R. verfasserin aut Enthalten in Advances in applied Clifford algebras Cham (ZG) : Springer International Publishing AG, 1997 31(2021), 1 vom: 05. Jan. (DE-627)507183274 (DE-600)2220151-8 1661-4909 nnns volume:31 year:2021 number:1 day:05 month:01 https://dx.doi.org/10.1007/s00006-020-01112-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE 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 31.25 ASE AR 31 2021 1 05 01 |
| spelling |
10.1007/s00006-020-01112-5 doi (DE-627)SPR042565219 (DE-599)SPRs00006-020-01112-5-e (SPR)s00006-020-01112-5-e DE-627 ger DE-627 rakwb eng 510 ASE 31.25 bkl Bouhlal, A. verfasserin aut Wavelet Transform of Dini Lipschitz Functions on the Quaternion Algebra 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this present work, we generalize Titchmarsh’s theorem for the complex- or hypercomplex-valued functions. Firstly, we examine the order of magnitude of the windowed linear canonical transform (WLCT) of complex-valued functions that achieved certain Lipschitz conditions on %${\mathbb {R}}%$. Secondly, we studied the order of magnitude of the 2-D continuous quaternion wavelet transform (CQWT) of certain quaternionic valued Lipschitz functions. Complex-valued function (dpeaa)DE-He213 Windowed linear canonical transform (dpeaa)DE-He213 Quaternion algebra (dpeaa)DE-He213 Admissible quaternion wavelet (dpeaa)DE-He213 Safouane, N. verfasserin aut Achak, A. verfasserin aut Daher, R. verfasserin aut Enthalten in Advances in applied Clifford algebras Cham (ZG) : Springer International Publishing AG, 1997 31(2021), 1 vom: 05. Jan. (DE-627)507183274 (DE-600)2220151-8 1661-4909 nnns volume:31 year:2021 number:1 day:05 month:01 https://dx.doi.org/10.1007/s00006-020-01112-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE 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 31.25 ASE AR 31 2021 1 05 01 |
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10.1007/s00006-020-01112-5 doi (DE-627)SPR042565219 (DE-599)SPRs00006-020-01112-5-e (SPR)s00006-020-01112-5-e DE-627 ger DE-627 rakwb eng 510 ASE 31.25 bkl Bouhlal, A. verfasserin aut Wavelet Transform of Dini Lipschitz Functions on the Quaternion Algebra 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this present work, we generalize Titchmarsh’s theorem for the complex- or hypercomplex-valued functions. Firstly, we examine the order of magnitude of the windowed linear canonical transform (WLCT) of complex-valued functions that achieved certain Lipschitz conditions on %${\mathbb {R}}%$. Secondly, we studied the order of magnitude of the 2-D continuous quaternion wavelet transform (CQWT) of certain quaternionic valued Lipschitz functions. Complex-valued function (dpeaa)DE-He213 Windowed linear canonical transform (dpeaa)DE-He213 Quaternion algebra (dpeaa)DE-He213 Admissible quaternion wavelet (dpeaa)DE-He213 Safouane, N. verfasserin aut Achak, A. verfasserin aut Daher, R. verfasserin aut Enthalten in Advances in applied Clifford algebras Cham (ZG) : Springer International Publishing AG, 1997 31(2021), 1 vom: 05. Jan. (DE-627)507183274 (DE-600)2220151-8 1661-4909 nnns volume:31 year:2021 number:1 day:05 month:01 https://dx.doi.org/10.1007/s00006-020-01112-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE 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 31.25 ASE AR 31 2021 1 05 01 |
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10.1007/s00006-020-01112-5 doi (DE-627)SPR042565219 (DE-599)SPRs00006-020-01112-5-e (SPR)s00006-020-01112-5-e DE-627 ger DE-627 rakwb eng 510 ASE 31.25 bkl Bouhlal, A. verfasserin aut Wavelet Transform of Dini Lipschitz Functions on the Quaternion Algebra 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this present work, we generalize Titchmarsh’s theorem for the complex- or hypercomplex-valued functions. Firstly, we examine the order of magnitude of the windowed linear canonical transform (WLCT) of complex-valued functions that achieved certain Lipschitz conditions on %${\mathbb {R}}%$. Secondly, we studied the order of magnitude of the 2-D continuous quaternion wavelet transform (CQWT) of certain quaternionic valued Lipschitz functions. Complex-valued function (dpeaa)DE-He213 Windowed linear canonical transform (dpeaa)DE-He213 Quaternion algebra (dpeaa)DE-He213 Admissible quaternion wavelet (dpeaa)DE-He213 Safouane, N. verfasserin aut Achak, A. verfasserin aut Daher, R. verfasserin aut Enthalten in Advances in applied Clifford algebras Cham (ZG) : Springer International Publishing AG, 1997 31(2021), 1 vom: 05. Jan. (DE-627)507183274 (DE-600)2220151-8 1661-4909 nnns volume:31 year:2021 number:1 day:05 month:01 https://dx.doi.org/10.1007/s00006-020-01112-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE 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 31.25 ASE AR 31 2021 1 05 01 |
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10.1007/s00006-020-01112-5 doi (DE-627)SPR042565219 (DE-599)SPRs00006-020-01112-5-e (SPR)s00006-020-01112-5-e DE-627 ger DE-627 rakwb eng 510 ASE 31.25 bkl Bouhlal, A. verfasserin aut Wavelet Transform of Dini Lipschitz Functions on the Quaternion Algebra 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this present work, we generalize Titchmarsh’s theorem for the complex- or hypercomplex-valued functions. Firstly, we examine the order of magnitude of the windowed linear canonical transform (WLCT) of complex-valued functions that achieved certain Lipschitz conditions on %${\mathbb {R}}%$. Secondly, we studied the order of magnitude of the 2-D continuous quaternion wavelet transform (CQWT) of certain quaternionic valued Lipschitz functions. Complex-valued function (dpeaa)DE-He213 Windowed linear canonical transform (dpeaa)DE-He213 Quaternion algebra (dpeaa)DE-He213 Admissible quaternion wavelet (dpeaa)DE-He213 Safouane, N. verfasserin aut Achak, A. verfasserin aut Daher, R. verfasserin aut Enthalten in Advances in applied Clifford algebras Cham (ZG) : Springer International Publishing AG, 1997 31(2021), 1 vom: 05. Jan. (DE-627)507183274 (DE-600)2220151-8 1661-4909 nnns volume:31 year:2021 number:1 day:05 month:01 https://dx.doi.org/10.1007/s00006-020-01112-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE 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 31.25 ASE AR 31 2021 1 05 01 |
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Enthalten in Advances in applied Clifford algebras 31(2021), 1 vom: 05. Jan. volume:31 year:2021 number:1 day:05 month:01 |
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Advances in applied Clifford algebras |
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Bouhlal, A. @@aut@@ Safouane, N. @@aut@@ Achak, A. @@aut@@ Daher, R. @@aut@@ |
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Bouhlal, A. |
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Bouhlal, A. ddc 510 bkl 31.25 misc Complex-valued function misc Windowed linear canonical transform misc Quaternion algebra misc Admissible quaternion wavelet Wavelet Transform of Dini Lipschitz Functions on the Quaternion Algebra |
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510 ASE 31.25 bkl Wavelet Transform of Dini Lipschitz Functions on the Quaternion Algebra Complex-valued function (dpeaa)DE-He213 Windowed linear canonical transform (dpeaa)DE-He213 Quaternion algebra (dpeaa)DE-He213 Admissible quaternion wavelet (dpeaa)DE-He213 |
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ddc 510 bkl 31.25 misc Complex-valued function misc Windowed linear canonical transform misc Quaternion algebra misc Admissible quaternion wavelet |
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ddc 510 bkl 31.25 misc Complex-valued function misc Windowed linear canonical transform misc Quaternion algebra misc Admissible quaternion wavelet |
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Wavelet Transform of Dini Lipschitz Functions on the Quaternion Algebra |
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Wavelet Transform of Dini Lipschitz Functions on the Quaternion Algebra |
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Bouhlal, A. |
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Advances in applied Clifford algebras |
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wavelet transform of dini lipschitz functions on the quaternion algebra |
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Wavelet Transform of Dini Lipschitz Functions on the Quaternion Algebra |
| abstract |
Abstract In this present work, we generalize Titchmarsh’s theorem for the complex- or hypercomplex-valued functions. Firstly, we examine the order of magnitude of the windowed linear canonical transform (WLCT) of complex-valued functions that achieved certain Lipschitz conditions on %${\mathbb {R}}%$. Secondly, we studied the order of magnitude of the 2-D continuous quaternion wavelet transform (CQWT) of certain quaternionic valued Lipschitz functions. |
| abstractGer |
Abstract In this present work, we generalize Titchmarsh’s theorem for the complex- or hypercomplex-valued functions. Firstly, we examine the order of magnitude of the windowed linear canonical transform (WLCT) of complex-valued functions that achieved certain Lipschitz conditions on %${\mathbb {R}}%$. Secondly, we studied the order of magnitude of the 2-D continuous quaternion wavelet transform (CQWT) of certain quaternionic valued Lipschitz functions. |
| abstract_unstemmed |
Abstract In this present work, we generalize Titchmarsh’s theorem for the complex- or hypercomplex-valued functions. Firstly, we examine the order of magnitude of the windowed linear canonical transform (WLCT) of complex-valued functions that achieved certain Lipschitz conditions on %${\mathbb {R}}%$. Secondly, we studied the order of magnitude of the 2-D continuous quaternion wavelet transform (CQWT) of certain quaternionic valued Lipschitz functions. |
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Wavelet Transform of Dini Lipschitz Functions on the Quaternion Algebra |
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https://dx.doi.org/10.1007/s00006-020-01112-5 |
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true |
| author2 |
Safouane, N. Achak, A. Daher, R. |
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Safouane, N. Achak, A. Daher, R. |
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507183274 |
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| doi_str |
10.1007/s00006-020-01112-5 |
| up_date |
2024-07-03T13:35:15.822Z |
| _version_ |
1803565102087012352 |
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