Toeplitz minors and specializations of skew Schur polynomials

Detalhes bibliográficos
Autor(a) principal: García-García, D.
Data de Publicação: 2020
Outros Autores: Tierz, M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10071/20917
Resumo: We express minors of Toeplitz matrices of finite and large dimension in terms of symmetric functions. Comparing the resulting expressions with the inverses of some Toeplitz matrices, we obtain explicit formulas for a Selberg-Morris integral and for specializations of certain skew Schur polynomials.
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spelling Toeplitz minors and specializations of skew Schur polynomialsToeplitz minorSkew Schur polynomialFisher-Hartwig singularityToeplitz inverseWe express minors of Toeplitz matrices of finite and large dimension in terms of symmetric functions. Comparing the resulting expressions with the inverses of some Toeplitz matrices, we obtain explicit formulas for a Selberg-Morris integral and for specializations of certain skew Schur polynomials.Academic Press2022-01-05T00:00:00Z2020-01-01T00:00:00Z20202020-12-14T14:37:57Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10071/20917eng0097-316510.1016/j.jcta.2019.105201García-García, D.Tierz, M.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-09T17:38:35Zoai:repositorio.iscte-iul.pt:10071/20917Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:17:39.985692Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Toeplitz minors and specializations of skew Schur polynomials
title Toeplitz minors and specializations of skew Schur polynomials
spellingShingle Toeplitz minors and specializations of skew Schur polynomials
García-García, D.
Toeplitz minor
Skew Schur polynomial
Fisher-Hartwig singularity
Toeplitz inverse
title_short Toeplitz minors and specializations of skew Schur polynomials
title_full Toeplitz minors and specializations of skew Schur polynomials
title_fullStr Toeplitz minors and specializations of skew Schur polynomials
title_full_unstemmed Toeplitz minors and specializations of skew Schur polynomials
title_sort Toeplitz minors and specializations of skew Schur polynomials
author García-García, D.
author_facet García-García, D.
Tierz, M.
author_role author
author2 Tierz, M.
author2_role author
dc.contributor.author.fl_str_mv García-García, D.
Tierz, M.
dc.subject.por.fl_str_mv Toeplitz minor
Skew Schur polynomial
Fisher-Hartwig singularity
Toeplitz inverse
topic Toeplitz minor
Skew Schur polynomial
Fisher-Hartwig singularity
Toeplitz inverse
description We express minors of Toeplitz matrices of finite and large dimension in terms of symmetric functions. Comparing the resulting expressions with the inverses of some Toeplitz matrices, we obtain explicit formulas for a Selberg-Morris integral and for specializations of certain skew Schur polynomials.
publishDate 2020
dc.date.none.fl_str_mv 2020-01-01T00:00:00Z
2020
2020-12-14T14:37:57Z
2022-01-05T00:00:00Z
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/10071/20917
url http://hdl.handle.net/10071/20917
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0097-3165
10.1016/j.jcta.2019.105201
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 Academic Press
publisher.none.fl_str_mv Academic Press
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
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collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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