Characterizations of Wilson Systems Using Roots of Polynomials

Abstract Casazza and Kalton [2] studied the question of classifying the characteristic functions %$X_{E}%$ so that %$(X_{E}, 1, 1)%$ generates a Weyl–Heisenberg frame which is equivalent to a classical problem of Littlewood in complex function theory. In this paper, Wilson frame set for a characteri...
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Autor*in:	Kohli, Teena [verfasserIn] Panwar, Suman

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2022

Schlagwörter:	Frames Wilson frame Wilson frame set

Anmerkung:	© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022

Übergeordnetes Werk:	Enthalten in: Results in mathematics - Berlin : Springer, 1978, 77(2022), 2 vom: 21. Feb.
Übergeordnetes Werk:	volume:77 ; year:2022 ; number:2 ; day:21 ; month:02

Links:	Volltext

DOI / URN:	10.1007/s00025-022-01613-8

Katalog-ID:	SPR04630360X

Internformat


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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
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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
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912			\|a GBV_ILN_2015
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912			\|a GBV_ILN_2021
912			\|a GBV_ILN_2025
912			\|a GBV_ILN_2026
912			\|a GBV_ILN_2027
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912			\|a GBV_ILN_2039
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912			\|a GBV_ILN_2049
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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
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912			\|a GBV_ILN_4242
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912			\|a GBV_ILN_4249
912			\|a GBV_ILN_4251
912			\|a GBV_ILN_4305
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912			\|a GBV_ILN_4307
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Indexfelder

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publishDate	2022
allfields	10.1007/s00025-022-01613-8 doi (DE-627)SPR04630360X (SPR)s00025-022-01613-8-e DE-627 ger DE-627 rakwb eng Kohli, Teena verfasserin (orcid)0000-0002-6121-6011 aut Characterizations of Wilson Systems Using Roots of Polynomials 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 Abstract Casazza and Kalton [2] studied the question of classifying the characteristic functions %$X_{E}%$ so that %$(X_{E}, 1, 1)%$ generates a Weyl–Heisenberg frame which is equivalent to a classical problem of Littlewood in complex function theory. In this paper, Wilson frame set for a characteristic function of a measurable set is defined. Also, a characterization of the Wilson frame set in terms of the roots of polynomials is given. Frames (dpeaa)DE-He213 Wilson frame (dpeaa)DE-He213 Wilson frame set (dpeaa)DE-He213 Panwar, Suman aut Enthalten in Results in mathematics Berlin : Springer, 1978 77(2022), 2 vom: 21. Feb. (DE-627)327046066 (DE-600)2043519-8 1420-9012 nnns volume:77 year:2022 number:2 day:21 month:02 https://dx.doi.org/10.1007/s00025-022-01613-8 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_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 77 2022 2 21 02
spelling	10.1007/s00025-022-01613-8 doi (DE-627)SPR04630360X (SPR)s00025-022-01613-8-e DE-627 ger DE-627 rakwb eng Kohli, Teena verfasserin (orcid)0000-0002-6121-6011 aut Characterizations of Wilson Systems Using Roots of Polynomials 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 Abstract Casazza and Kalton [2] studied the question of classifying the characteristic functions %$X_{E}%$ so that %$(X_{E}, 1, 1)%$ generates a Weyl–Heisenberg frame which is equivalent to a classical problem of Littlewood in complex function theory. In this paper, Wilson frame set for a characteristic function of a measurable set is defined. Also, a characterization of the Wilson frame set in terms of the roots of polynomials is given. Frames (dpeaa)DE-He213 Wilson frame (dpeaa)DE-He213 Wilson frame set (dpeaa)DE-He213 Panwar, Suman aut Enthalten in Results in mathematics Berlin : Springer, 1978 77(2022), 2 vom: 21. Feb. (DE-627)327046066 (DE-600)2043519-8 1420-9012 nnns volume:77 year:2022 number:2 day:21 month:02 https://dx.doi.org/10.1007/s00025-022-01613-8 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_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 77 2022 2 21 02
allfields_unstemmed	10.1007/s00025-022-01613-8 doi (DE-627)SPR04630360X (SPR)s00025-022-01613-8-e DE-627 ger DE-627 rakwb eng Kohli, Teena verfasserin (orcid)0000-0002-6121-6011 aut Characterizations of Wilson Systems Using Roots of Polynomials 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 Abstract Casazza and Kalton [2] studied the question of classifying the characteristic functions %$X_{E}%$ so that %$(X_{E}, 1, 1)%$ generates a Weyl–Heisenberg frame which is equivalent to a classical problem of Littlewood in complex function theory. In this paper, Wilson frame set for a characteristic function of a measurable set is defined. Also, a characterization of the Wilson frame set in terms of the roots of polynomials is given. Frames (dpeaa)DE-He213 Wilson frame (dpeaa)DE-He213 Wilson frame set (dpeaa)DE-He213 Panwar, Suman aut Enthalten in Results in mathematics Berlin : Springer, 1978 77(2022), 2 vom: 21. Feb. (DE-627)327046066 (DE-600)2043519-8 1420-9012 nnns volume:77 year:2022 number:2 day:21 month:02 https://dx.doi.org/10.1007/s00025-022-01613-8 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_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 77 2022 2 21 02
allfieldsGer	10.1007/s00025-022-01613-8 doi (DE-627)SPR04630360X (SPR)s00025-022-01613-8-e DE-627 ger DE-627 rakwb eng Kohli, Teena verfasserin (orcid)0000-0002-6121-6011 aut Characterizations of Wilson Systems Using Roots of Polynomials 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 Abstract Casazza and Kalton [2] studied the question of classifying the characteristic functions %$X_{E}%$ so that %$(X_{E}, 1, 1)%$ generates a Weyl–Heisenberg frame which is equivalent to a classical problem of Littlewood in complex function theory. In this paper, Wilson frame set for a characteristic function of a measurable set is defined. Also, a characterization of the Wilson frame set in terms of the roots of polynomials is given. Frames (dpeaa)DE-He213 Wilson frame (dpeaa)DE-He213 Wilson frame set (dpeaa)DE-He213 Panwar, Suman aut Enthalten in Results in mathematics Berlin : Springer, 1978 77(2022), 2 vom: 21. Feb. (DE-627)327046066 (DE-600)2043519-8 1420-9012 nnns volume:77 year:2022 number:2 day:21 month:02 https://dx.doi.org/10.1007/s00025-022-01613-8 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_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 77 2022 2 21 02
allfieldsSound	10.1007/s00025-022-01613-8 doi (DE-627)SPR04630360X (SPR)s00025-022-01613-8-e DE-627 ger DE-627 rakwb eng Kohli, Teena verfasserin (orcid)0000-0002-6121-6011 aut Characterizations of Wilson Systems Using Roots of Polynomials 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022 Abstract Casazza and Kalton [2] studied the question of classifying the characteristic functions %$X_{E}%$ so that %$(X_{E}, 1, 1)%$ generates a Weyl–Heisenberg frame which is equivalent to a classical problem of Littlewood in complex function theory. In this paper, Wilson frame set for a characteristic function of a measurable set is defined. Also, a characterization of the Wilson frame set in terms of the roots of polynomials is given. Frames (dpeaa)DE-He213 Wilson frame (dpeaa)DE-He213 Wilson frame set (dpeaa)DE-He213 Panwar, Suman aut Enthalten in Results in mathematics Berlin : Springer, 1978 77(2022), 2 vom: 21. Feb. (DE-627)327046066 (DE-600)2043519-8 1420-9012 nnns volume:77 year:2022 number:2 day:21 month:02 https://dx.doi.org/10.1007/s00025-022-01613-8 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_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 77 2022 2 21 02
language	English
source	Enthalten in Results in mathematics 77(2022), 2 vom: 21. Feb. volume:77 year:2022 number:2 day:21 month:02
sourceStr	Enthalten in Results in mathematics 77(2022), 2 vom: 21. Feb. volume:77 year:2022 number:2 day:21 month:02
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Frames Wilson frame Wilson frame set
isfreeaccess_bool	false
container_title	Results in mathematics
authorswithroles_txt_mv	Kohli, Teena @@aut@@ Panwar, Suman @@aut@@
publishDateDaySort_date	2022-02-21T00:00:00Z
hierarchy_top_id	327046066
id	SPR04630360X
language_de	englisch
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title	Characterizations of Wilson Systems Using Roots of Polynomials
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title_sort	characterizations of wilson systems using roots of polynomials
title_auth	Characterizations of Wilson Systems Using Roots of Polynomials
abstract	Abstract Casazza and Kalton [2] studied the question of classifying the characteristic functions %$X_{E}%$ so that %$(X_{E}, 1, 1)%$ generates a Weyl–Heisenberg frame which is equivalent to a classical problem of Littlewood in complex function theory. In this paper, Wilson frame set for a characteristic function of a measurable set is defined. Also, a characterization of the Wilson frame set in terms of the roots of polynomials is given. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022
abstractGer	Abstract Casazza and Kalton [2] studied the question of classifying the characteristic functions %$X_{E}%$ so that %$(X_{E}, 1, 1)%$ generates a Weyl–Heisenberg frame which is equivalent to a classical problem of Littlewood in complex function theory. In this paper, Wilson frame set for a characteristic function of a measurable set is defined. Also, a characterization of the Wilson frame set in terms of the roots of polynomials is given. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022
abstract_unstemmed	Abstract Casazza and Kalton [2] studied the question of classifying the characteristic functions %$X_{E}%$ so that %$(X_{E}, 1, 1)%$ generates a Weyl–Heisenberg frame which is equivalent to a classical problem of Littlewood in complex function theory. In this paper, Wilson frame set for a characteristic function of a measurable set is defined. Also, a characterization of the Wilson frame set in terms of the roots of polynomials is given. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022
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title_short	Characterizations of Wilson Systems Using Roots of Polynomials
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Characterizations of Wilson Systems Using Roots of Polynomials

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