On generalized definitions of ultradifferentiable classes

We show that the ultradifferentiable-like classes of smooth functions introduced and studied by S. Pilipović, N. Teofanov and F. Tomić are special cases of the general framework of spaces of ultradifferentiable functions defined in terms of weight matrices in the sense of A. Rainer and the third aut...

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Detalles Bibliográficos
Autores: Jiménez Garrido, Jesús Javier, Nenning, David Nicolas, Schindl, Gerhard
Tipo de recurso: artículo
Fecha de publicación:2023
País:España
Institución:Universidad de Cantabria (UC)
Repositorio:UCrea Repositorio Abierto de la Universidad de Cantabria
Idioma:inglés
OAI Identifier:oai:repositorio.unican.es:10902/32278
Acceso en línea:https://hdl.handle.net/10902/32278
Access Level:acceso abierto
Palabra clave:Classes of ultradifferentiable functions
Weight sequences and weight matrices
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spelling On generalized definitions of ultradifferentiable classesJiménez Garrido, Jesús JavierNenning, David NicolasSchindl, GerhardClasses of ultradifferentiable functionsWeight sequences and weight matricesWe show that the ultradifferentiable-like classes of smooth functions introduced and studied by S. Pilipović, N. Teofanov and F. Tomić are special cases of the general framework of spaces of ultradifferentiable functions defined in terms of weight matrices in the sense of A. Rainer and the third author. We study classes "beyond geometric growth factors" defined in terms of a weight sequence and an exponent sequence, prove that these new types admit a weight matrix representation and transfer known results from the matrix-type to such a non-standard ultradifferentiable setting.J. Jiménez-Garrido is supported by Ministerio de Ciencia e Innovación project PID2019-105621GB-I00, D.N. Nenning and G. Schindl are supported by FWF-Project P33417-N.Academic Press Inc.Universidad de Cantabria20232023-12-01journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articlehttps://hdl.handle.net/10902/32278Journal of Mathematical Analysis and Applications, 2023, 526(21), 127260reponame:UCrea Repositorio Abierto de la Universidad de Cantabriainstname:Universidad de Cantabria (UC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:repositorio.unican.es:10902/322782026-06-02T12:39:31Z
dc.title.none.fl_str_mv On generalized definitions of ultradifferentiable classes
title On generalized definitions of ultradifferentiable classes
spellingShingle On generalized definitions of ultradifferentiable classes
Jiménez Garrido, Jesús Javier
Classes of ultradifferentiable functions
Weight sequences and weight matrices
title_short On generalized definitions of ultradifferentiable classes
title_full On generalized definitions of ultradifferentiable classes
title_fullStr On generalized definitions of ultradifferentiable classes
title_full_unstemmed On generalized definitions of ultradifferentiable classes
title_sort On generalized definitions of ultradifferentiable classes
dc.creator.none.fl_str_mv Jiménez Garrido, Jesús Javier
Nenning, David Nicolas
Schindl, Gerhard
author Jiménez Garrido, Jesús Javier
author_facet Jiménez Garrido, Jesús Javier
Nenning, David Nicolas
Schindl, Gerhard
author_role author
author2 Nenning, David Nicolas
Schindl, Gerhard
author2_role author
author
dc.contributor.none.fl_str_mv Universidad de Cantabria
dc.subject.none.fl_str_mv Classes of ultradifferentiable functions
Weight sequences and weight matrices
topic Classes of ultradifferentiable functions
Weight sequences and weight matrices
description We show that the ultradifferentiable-like classes of smooth functions introduced and studied by S. Pilipović, N. Teofanov and F. Tomić are special cases of the general framework of spaces of ultradifferentiable functions defined in terms of weight matrices in the sense of A. Rainer and the third author. We study classes "beyond geometric growth factors" defined in terms of a weight sequence and an exponent sequence, prove that these new types admit a weight matrix representation and transfer known results from the matrix-type to such a non-standard ultradifferentiable setting.
publishDate 2023
dc.date.none.fl_str_mv 2023
2023-12-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/10902/32278
url https://hdl.handle.net/10902/32278
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Academic Press Inc.
publisher.none.fl_str_mv Academic Press Inc.
dc.source.none.fl_str_mv Journal of Mathematical Analysis and Applications, 2023, 526(21), 127260
reponame:UCrea Repositorio Abierto de la Universidad de Cantabria
instname:Universidad de Cantabria (UC)
instname_str Universidad de Cantabria (UC)
reponame_str UCrea Repositorio Abierto de la Universidad de Cantabria
collection UCrea Repositorio Abierto de la Universidad de Cantabria
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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