Toeplitz minors and specializations of skew Schur polynomials
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Publication Date: | 2020 |
Other Authors: | |
Format: | Article |
Language: | eng |
Source: | Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) |
Download full: | http://hdl.handle.net/10071/20917 |
Summary: | 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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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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-07-07T02:52:43Zoai:repositorio.iscte-iul.pt:10071/20917Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T18:10:05.122843Repositórios 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 |
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 |
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Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) |
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Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia |
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info@rcaap.pt |
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