The convergence of Galerkin–Petrov methods for Dirichlet projections

Abstract In this paper, we establish the convergence of several Galerkin–Petrov methods, including the finite section method, the polynomial collocation method and the analytic element collocation method for Toeplitz operators on Dirichlet type spaces. In particular, we show that such methods conver...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	He, Li [verfasserIn] Li, Yifang Zhang, Yiyuan

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Schlagwörter:	Galerkin–Petrov methods Toeplitz operators Dirichlet type spaces Polynomial collocation Analytic element collocation

Anmerkung:	© Tusi Mathematical Research Group (TMRG) 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Übergeordnetes Werk:	Enthalten in: Annals of functional analysis - [Ort nicht ermittelbar] : Springer International Publishing, 2010, 14(2023), 3 vom: 19. Juni
Übergeordnetes Werk:	volume:14 ; year:2023 ; number:3 ; day:19 ; month:06

Links:	Volltext

DOI / URN:	10.1007/s43034-023-00284-y

Katalog-ID:	SPR051956233

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520			\|a Abstract In this paper, we establish the convergence of several Galerkin–Petrov methods, including the finite section method, the polynomial collocation method and the analytic element collocation method for Toeplitz operators on Dirichlet type spaces. In particular, we show that such methods converge if the basis functions and test functions own certain circular symmetry.
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650		4	\|a Toeplitz operators \|7 (dpeaa)DE-He213
650		4	\|a Dirichlet type spaces \|7 (dpeaa)DE-He213
650		4	\|a Polynomial collocation \|7 (dpeaa)DE-He213
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700	1		\|a Zhang, Yiyuan \|0 (orcid)0000-0001-6425-2395 \|4 aut
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allfields	10.1007/s43034-023-00284-y doi (DE-627)SPR051956233 (SPR)s43034-023-00284-y-e DE-627 ger DE-627 rakwb eng He, Li verfasserin aut The convergence of Galerkin–Petrov methods for Dirichlet projections 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Tusi Mathematical Research Group (TMRG) 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this paper, we establish the convergence of several Galerkin–Petrov methods, including the finite section method, the polynomial collocation method and the analytic element collocation method for Toeplitz operators on Dirichlet type spaces. In particular, we show that such methods converge if the basis functions and test functions own certain circular symmetry. Galerkin–Petrov methods (dpeaa)DE-He213 Toeplitz operators (dpeaa)DE-He213 Dirichlet type spaces (dpeaa)DE-He213 Polynomial collocation (dpeaa)DE-He213 Analytic element collocation (dpeaa)DE-He213 Li, Yifang aut Zhang, Yiyuan (orcid)0000-0001-6425-2395 aut Enthalten in Annals of functional analysis [Ort nicht ermittelbar] : Springer International Publishing, 2010 14(2023), 3 vom: 19. Juni (DE-627)657588466 (DE-600)2606458-3 2008-8752 nnns volume:14 year:2023 number:3 day:19 month:06 https://dx.doi.org/10.1007/s43034-023-00284-y 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 14 2023 3 19 06
spelling	10.1007/s43034-023-00284-y doi (DE-627)SPR051956233 (SPR)s43034-023-00284-y-e DE-627 ger DE-627 rakwb eng He, Li verfasserin aut The convergence of Galerkin–Petrov methods for Dirichlet projections 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Tusi Mathematical Research Group (TMRG) 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this paper, we establish the convergence of several Galerkin–Petrov methods, including the finite section method, the polynomial collocation method and the analytic element collocation method for Toeplitz operators on Dirichlet type spaces. In particular, we show that such methods converge if the basis functions and test functions own certain circular symmetry. Galerkin–Petrov methods (dpeaa)DE-He213 Toeplitz operators (dpeaa)DE-He213 Dirichlet type spaces (dpeaa)DE-He213 Polynomial collocation (dpeaa)DE-He213 Analytic element collocation (dpeaa)DE-He213 Li, Yifang aut Zhang, Yiyuan (orcid)0000-0001-6425-2395 aut Enthalten in Annals of functional analysis [Ort nicht ermittelbar] : Springer International Publishing, 2010 14(2023), 3 vom: 19. Juni (DE-627)657588466 (DE-600)2606458-3 2008-8752 nnns volume:14 year:2023 number:3 day:19 month:06 https://dx.doi.org/10.1007/s43034-023-00284-y 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 14 2023 3 19 06
allfields_unstemmed	10.1007/s43034-023-00284-y doi (DE-627)SPR051956233 (SPR)s43034-023-00284-y-e DE-627 ger DE-627 rakwb eng He, Li verfasserin aut The convergence of Galerkin–Petrov methods for Dirichlet projections 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Tusi Mathematical Research Group (TMRG) 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this paper, we establish the convergence of several Galerkin–Petrov methods, including the finite section method, the polynomial collocation method and the analytic element collocation method for Toeplitz operators on Dirichlet type spaces. In particular, we show that such methods converge if the basis functions and test functions own certain circular symmetry. Galerkin–Petrov methods (dpeaa)DE-He213 Toeplitz operators (dpeaa)DE-He213 Dirichlet type spaces (dpeaa)DE-He213 Polynomial collocation (dpeaa)DE-He213 Analytic element collocation (dpeaa)DE-He213 Li, Yifang aut Zhang, Yiyuan (orcid)0000-0001-6425-2395 aut Enthalten in Annals of functional analysis [Ort nicht ermittelbar] : Springer International Publishing, 2010 14(2023), 3 vom: 19. Juni (DE-627)657588466 (DE-600)2606458-3 2008-8752 nnns volume:14 year:2023 number:3 day:19 month:06 https://dx.doi.org/10.1007/s43034-023-00284-y 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 14 2023 3 19 06
allfieldsGer	10.1007/s43034-023-00284-y doi (DE-627)SPR051956233 (SPR)s43034-023-00284-y-e DE-627 ger DE-627 rakwb eng He, Li verfasserin aut The convergence of Galerkin–Petrov methods for Dirichlet projections 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Tusi Mathematical Research Group (TMRG) 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this paper, we establish the convergence of several Galerkin–Petrov methods, including the finite section method, the polynomial collocation method and the analytic element collocation method for Toeplitz operators on Dirichlet type spaces. In particular, we show that such methods converge if the basis functions and test functions own certain circular symmetry. Galerkin–Petrov methods (dpeaa)DE-He213 Toeplitz operators (dpeaa)DE-He213 Dirichlet type spaces (dpeaa)DE-He213 Polynomial collocation (dpeaa)DE-He213 Analytic element collocation (dpeaa)DE-He213 Li, Yifang aut Zhang, Yiyuan (orcid)0000-0001-6425-2395 aut Enthalten in Annals of functional analysis [Ort nicht ermittelbar] : Springer International Publishing, 2010 14(2023), 3 vom: 19. Juni (DE-627)657588466 (DE-600)2606458-3 2008-8752 nnns volume:14 year:2023 number:3 day:19 month:06 https://dx.doi.org/10.1007/s43034-023-00284-y 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 14 2023 3 19 06
allfieldsSound	10.1007/s43034-023-00284-y doi (DE-627)SPR051956233 (SPR)s43034-023-00284-y-e DE-627 ger DE-627 rakwb eng He, Li verfasserin aut The convergence of Galerkin–Petrov methods for Dirichlet projections 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Tusi Mathematical Research Group (TMRG) 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this paper, we establish the convergence of several Galerkin–Petrov methods, including the finite section method, the polynomial collocation method and the analytic element collocation method for Toeplitz operators on Dirichlet type spaces. In particular, we show that such methods converge if the basis functions and test functions own certain circular symmetry. Galerkin–Petrov methods (dpeaa)DE-He213 Toeplitz operators (dpeaa)DE-He213 Dirichlet type spaces (dpeaa)DE-He213 Polynomial collocation (dpeaa)DE-He213 Analytic element collocation (dpeaa)DE-He213 Li, Yifang aut Zhang, Yiyuan (orcid)0000-0001-6425-2395 aut Enthalten in Annals of functional analysis [Ort nicht ermittelbar] : Springer International Publishing, 2010 14(2023), 3 vom: 19. Juni (DE-627)657588466 (DE-600)2606458-3 2008-8752 nnns volume:14 year:2023 number:3 day:19 month:06 https://dx.doi.org/10.1007/s43034-023-00284-y 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 14 2023 3 19 06
language	English
source	Enthalten in Annals of functional analysis 14(2023), 3 vom: 19. Juni volume:14 year:2023 number:3 day:19 month:06
sourceStr	Enthalten in Annals of functional analysis 14(2023), 3 vom: 19. Juni volume:14 year:2023 number:3 day:19 month:06
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Galerkin–Petrov methods Toeplitz operators Dirichlet type spaces Polynomial collocation Analytic element collocation
isfreeaccess_bool	false
container_title	Annals of functional analysis
authorswithroles_txt_mv	He, Li @@aut@@ Li, Yifang @@aut@@ Zhang, Yiyuan @@aut@@
publishDateDaySort_date	2023-06-19T00:00:00Z
hierarchy_top_id	657588466
id	SPR051956233
language_de	englisch
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author	He, Li
spellingShingle	He, Li misc Galerkin–Petrov methods misc Toeplitz operators misc Dirichlet type spaces misc Polynomial collocation misc Analytic element collocation The convergence of Galerkin–Petrov methods for Dirichlet projections
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topic_title	The convergence of Galerkin–Petrov methods for Dirichlet projections Galerkin–Petrov methods (dpeaa)DE-He213 Toeplitz operators (dpeaa)DE-He213 Dirichlet type spaces (dpeaa)DE-He213 Polynomial collocation (dpeaa)DE-He213 Analytic element collocation (dpeaa)DE-He213
topic	misc Galerkin–Petrov methods misc Toeplitz operators misc Dirichlet type spaces misc Polynomial collocation misc Analytic element collocation
topic_unstemmed	misc Galerkin–Petrov methods misc Toeplitz operators misc Dirichlet type spaces misc Polynomial collocation misc Analytic element collocation
topic_browse	misc Galerkin–Petrov methods misc Toeplitz operators misc Dirichlet type spaces misc Polynomial collocation misc Analytic element collocation
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title	The convergence of Galerkin–Petrov methods for Dirichlet projections
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title_full	The convergence of Galerkin–Petrov methods for Dirichlet projections
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title_sort	convergence of galerkin–petrov methods for dirichlet projections
title_auth	The convergence of Galerkin–Petrov methods for Dirichlet projections
abstract	Abstract In this paper, we establish the convergence of several Galerkin–Petrov methods, including the finite section method, the polynomial collocation method and the analytic element collocation method for Toeplitz operators on Dirichlet type spaces. In particular, we show that such methods converge if the basis functions and test functions own certain circular symmetry. © Tusi Mathematical Research Group (TMRG) 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
abstractGer	Abstract In this paper, we establish the convergence of several Galerkin–Petrov methods, including the finite section method, the polynomial collocation method and the analytic element collocation method for Toeplitz operators on Dirichlet type spaces. In particular, we show that such methods converge if the basis functions and test functions own certain circular symmetry. © Tusi Mathematical Research Group (TMRG) 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
abstract_unstemmed	Abstract In this paper, we establish the convergence of several Galerkin–Petrov methods, including the finite section method, the polynomial collocation method and the analytic element collocation method for Toeplitz operators on Dirichlet type spaces. In particular, we show that such methods converge if the basis functions and test functions own certain circular symmetry. © Tusi Mathematical Research Group (TMRG) 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
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title_short	The convergence of Galerkin–Petrov methods for Dirichlet projections
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up_date	2024-07-04T00:36:45.626Z
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Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract In this paper, we establish the convergence of several Galerkin–Petrov methods, including the finite section method, the polynomial collocation method and the analytic element collocation method for Toeplitz operators on Dirichlet type spaces. In particular, we show that such methods converge if the basis functions and test functions own certain circular symmetry.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Galerkin–Petrov methods</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Toeplitz operators</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Dirichlet type spaces</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Polynomial collocation</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Analytic element collocation</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Li, Yifang</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Zhang, Yiyuan</subfield><subfield code="0">(orcid)0000-0001-6425-2395</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Annals of functional analysis</subfield><subfield code="d">[Ort nicht ermittelbar] : Springer International Publishing, 2010</subfield><subfield code="g">14(2023), 3 vom: 19. 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The convergence of Galerkin–Petrov methods for Dirichlet projections

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