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.
Instituto de Física La Plata
Materia
Física
q-Fourier transform
Tempered ultradistributions
Complex-plane generalization
One-to-one character
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/129646
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/129646
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Inversion of Umarov–Tsallis–Steinberg’s q-Fourier transform and the complex-plane generalizationPlastino, Ángel LuisRocca, Mario CarlosFísicaq-Fourier transformTempered ultradistributionsComplex-plane generalizationOne-to-one characterWe 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.Instituto de Física La Plata2012info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf4740-4747http://sedici.unlp.edu.ar/handle/10915/129646enginfo:eu-repo/semantics/altIdentifier/issn/0378-4371info:eu-repo/semantics/altIdentifier/arxiv/1112.1985info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2012.05.036info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:31:17Zoai:sedici.unlp.edu.ar:10915/129646Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:31:17.69SEDICI (UNLP) - Universidad Nacional de La Platafalse
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
Física
q-Fourier transform
Tempered ultradistributions
Complex-plane generalization
One-to-one character
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 Física
q-Fourier transform
Tempered ultradistributions
Complex-plane generalization
One-to-one character
topic Física
q-Fourier transform
Tempered ultradistributions
Complex-plane generalization
One-to-one character
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.
Instituto de Física La Plata
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
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/129646
url http://sedici.unlp.edu.ar/handle/10915/129646
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0378-4371
info:eu-repo/semantics/altIdentifier/arxiv/1112.1985
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2012.05.036
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
4740-4747
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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score 13.070432

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