A Bessel differential heat initial value problem in a reproducing kernel Hilbert space framework

Bibliographic Details
Main Author: Castro, L.P.
Publication Date: 2014
Other Authors: Rodrigues, M.M., Saitoh, S.
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10773/16636
Summary: For modified Bessel heat equations subjected to an initial condition, we investigate integral transforms with kernels related to the solutions of those equations by using the theory of reproducing kernels. In particular, a new framework within reproducing kernel Hilbert spaces is proposed where we construct the unique solutions of the corresponding initial value problems.
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spelling A Bessel differential heat initial value problem in a reproducing kernel Hilbert space frameworkIntegral transformIsometric mappingInversion formulaInitial value problemRegularizationEigenfunctionEigenvalueReproducing kernelInverse problemsFor modified Bessel heat equations subjected to an initial condition, we investigate integral transforms with kernels related to the solutions of those equations by using the theory of reproducing kernels. In particular, a new framework within reproducing kernel Hilbert spaces is proposed where we construct the unique solutions of the corresponding initial value problems.American Institute of Physics2017-01-10T14:25:33Z2014-01-01T00:00:00Z2014info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/16636eng1551-761610.1063/1.4904575Castro, L.P.Rodrigues, M.M.Saitoh, S.info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-06T03:59:03Zoai:ria.ua.pt:10773/16636Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T13:53:28.996108Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv A Bessel differential heat initial value problem in a reproducing kernel Hilbert space framework
title A Bessel differential heat initial value problem in a reproducing kernel Hilbert space framework
spellingShingle A Bessel differential heat initial value problem in a reproducing kernel Hilbert space framework
Castro, L.P.
Integral transform
Isometric mapping
Inversion formula
Initial value problem
Regularization
Eigenfunction
Eigenvalue
Reproducing kernel
Inverse problems
title_short A Bessel differential heat initial value problem in a reproducing kernel Hilbert space framework
title_full A Bessel differential heat initial value problem in a reproducing kernel Hilbert space framework
title_fullStr A Bessel differential heat initial value problem in a reproducing kernel Hilbert space framework
title_full_unstemmed A Bessel differential heat initial value problem in a reproducing kernel Hilbert space framework
title_sort A Bessel differential heat initial value problem in a reproducing kernel Hilbert space framework
author Castro, L.P.
author_facet Castro, L.P.
Rodrigues, M.M.
Saitoh, S.
author_role author
author2 Rodrigues, M.M.
Saitoh, S.
author2_role author
author
dc.contributor.author.fl_str_mv Castro, L.P.
Rodrigues, M.M.
Saitoh, S.
dc.subject.por.fl_str_mv Integral transform
Isometric mapping
Inversion formula
Initial value problem
Regularization
Eigenfunction
Eigenvalue
Reproducing kernel
Inverse problems
topic Integral transform
Isometric mapping
Inversion formula
Initial value problem
Regularization
Eigenfunction
Eigenvalue
Reproducing kernel
Inverse problems
description For modified Bessel heat equations subjected to an initial condition, we investigate integral transforms with kernels related to the solutions of those equations by using the theory of reproducing kernels. In particular, a new framework within reproducing kernel Hilbert spaces is proposed where we construct the unique solutions of the corresponding initial value problems.
publishDate 2014
dc.date.none.fl_str_mv 2014-01-01T00:00:00Z
2014
2017-01-10T14:25:33Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/16636
url http://hdl.handle.net/10773/16636
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1551-7616
10.1063/1.4904575
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Institute of Physics
publisher.none.fl_str_mv American Institute of Physics
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
_version_ 1833594167253532672

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