Inversion of Umarov-Tsallis-Steinberg's q-Fourier transform and the complex-plane generalization

Autores
Plastino, Ángel Luis; Rocca, Mario Carlos
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We introduce a complex q-Fourier transform as a generalization of the (real) one analyzed in [S. Umarov, C. Tsallis, S. Steinberg, Milan J. Math. 307 (2008)]. By recourse to tempered ultradistributions we show that this complex-plane generalization overcomes all the troubles that afflict its real counterpart.
Fil: Plastino, Ángel Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Rocca, Mario Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Materia
Complex-Plane Generalization
One-To-One Character
Q-Fourier Transform
Tempered Ultradistributions
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/73580
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Inversion of Umarov-Tsallis-Steinberg's q-Fourier transform and the complex-plane generalizationPlastino, Ángel LuisRocca, Mario CarlosComplex-Plane GeneralizationOne-To-One CharacterQ-Fourier TransformTempered Ultradistributionshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We introduce a complex q-Fourier transform as a generalization of the (real) one analyzed in [S. Umarov, C. Tsallis, S. Steinberg, Milan J. Math. 307 (2008)]. By recourse to tempered ultradistributions we show that this complex-plane generalization overcomes all the troubles that afflict its real counterpart.Fil: Plastino, Ángel Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaFil: Rocca, Mario Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaElsevier Science2012-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/73580Plastino, Ángel Luis; Rocca, Mario Carlos; Inversion of Umarov-Tsallis-Steinberg's q-Fourier transform and the complex-plane generalization; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 391; 20; 10-2012; 4740-47470378-4371CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0378437112004074info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2012.05.036info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-05T10:31:33Zoai:ri.conicet.gov.ar:11336/73580instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-11-05 10:31:33.38CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Inversion of Umarov-Tsallis-Steinberg's q-Fourier transform and the complex-plane generalization
title Inversion of Umarov-Tsallis-Steinberg's q-Fourier transform and the complex-plane generalization
spellingShingle Inversion of Umarov-Tsallis-Steinberg's q-Fourier transform and the complex-plane generalization
Plastino, Ángel Luis
Complex-Plane Generalization
One-To-One Character
Q-Fourier Transform
Tempered Ultradistributions
title_short Inversion of Umarov-Tsallis-Steinberg's q-Fourier transform and the complex-plane generalization
title_full Inversion of Umarov-Tsallis-Steinberg's q-Fourier transform and the complex-plane generalization
title_fullStr Inversion of Umarov-Tsallis-Steinberg's q-Fourier transform and the complex-plane generalization
title_full_unstemmed Inversion of Umarov-Tsallis-Steinberg's q-Fourier transform and the complex-plane generalization
title_sort Inversion of Umarov-Tsallis-Steinberg's q-Fourier transform and the complex-plane generalization
dc.creator.none.fl_str_mv Plastino, Ángel Luis
Rocca, Mario Carlos
author Plastino, Ángel Luis
author_facet Plastino, Ángel Luis
Rocca, Mario Carlos
author_role author
author2 Rocca, Mario Carlos
author2_role author
dc.subject.none.fl_str_mv Complex-Plane Generalization
One-To-One Character
Q-Fourier Transform
Tempered Ultradistributions
topic Complex-Plane Generalization
One-To-One Character
Q-Fourier Transform
Tempered Ultradistributions
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We introduce a complex q-Fourier transform as a generalization of the (real) one analyzed in [S. Umarov, C. Tsallis, S. Steinberg, Milan J. Math. 307 (2008)]. By recourse to tempered ultradistributions we show that this complex-plane generalization overcomes all the troubles that afflict its real counterpart.
Fil: Plastino, Ángel Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Rocca, Mario Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
description We introduce a complex q-Fourier transform as a generalization of the (real) one analyzed in [S. Umarov, C. Tsallis, S. Steinberg, Milan J. Math. 307 (2008)]. By recourse to tempered ultradistributions we show that this complex-plane generalization overcomes all the troubles that afflict its real counterpart.
publishDate 2012
dc.date.none.fl_str_mv 2012-10
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/73580
Plastino, Ángel Luis; Rocca, Mario Carlos; Inversion of Umarov-Tsallis-Steinberg's q-Fourier transform and the complex-plane generalization; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 391; 20; 10-2012; 4740-4747
0378-4371
CONICET Digital
CONICET
url http://hdl.handle.net/11336/73580
identifier_str_mv Plastino, Ángel Luis; Rocca, Mario Carlos; Inversion of Umarov-Tsallis-Steinberg's q-Fourier transform and the complex-plane generalization; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 391; 20; 10-2012; 4740-4747
0378-4371
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0378437112004074
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2012.05.036
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science
publisher.none.fl_str_mv Elsevier Science
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.121305

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