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Eigenvalues, embeddings and generalised trigonometric functions

The main theme of the book is the study, from the standpoint of s-numbers, of integral operators of Hardy type and related Sobolev embeddings. In the theory of s-numbers the idea is to attach to every bounded linear map between Banach spaces a monotone decreasing sequence of non-negative numbers wit...

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Detalles Bibliográficos
Autores principales: Lang, Jan, Edmunds, David
Lenguaje:eng
Publicado: Springer 2011
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-642-18429-1
http://cds.cern.ch/record/1691777
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author Lang, Jan
Edmunds, David
author_facet Lang, Jan
Edmunds, David
author_sort Lang, Jan
collection CERN
description The main theme of the book is the study, from the standpoint of s-numbers, of integral operators of Hardy type and related Sobolev embeddings. In the theory of s-numbers the idea is to attach to every bounded linear map between Banach spaces a monotone decreasing sequence of non-negative numbers with a view to the classification of operators according to the way in which these numbers approach a limit: approximation numbers provide an especially important example of such numbers. The asymptotic behavior of the s-numbers of Hardy operators acting between Lebesgue spaces is determined here in a wide variety of cases. The proof methods involve the geometry of Banach spaces and generalized trigonometric functions; there are connections with the theory of the p-Laplacian.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2011
publisher Springer
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spelling cern-16917772021-04-21T21:07:09Zdoi:10.1007/978-3-642-18429-1http://cds.cern.ch/record/1691777engLang, JanEdmunds, DavidEigenvalues, embeddings and generalised trigonometric functionsMathematical Physics and MathematicsThe main theme of the book is the study, from the standpoint of s-numbers, of integral operators of Hardy type and related Sobolev embeddings. In the theory of s-numbers the idea is to attach to every bounded linear map between Banach spaces a monotone decreasing sequence of non-negative numbers with a view to the classification of operators according to the way in which these numbers approach a limit: approximation numbers provide an especially important example of such numbers. The asymptotic behavior of the s-numbers of Hardy operators acting between Lebesgue spaces is determined here in a wide variety of cases. The proof methods involve the geometry of Banach spaces and generalized trigonometric functions; there are connections with the theory of the p-Laplacian.Springeroai:cds.cern.ch:16917772011
spellingShingle Mathematical Physics and Mathematics
Lang, Jan
Edmunds, David
Eigenvalues, embeddings and generalised trigonometric functions
title Eigenvalues, embeddings and generalised trigonometric functions
title_full Eigenvalues, embeddings and generalised trigonometric functions
title_fullStr Eigenvalues, embeddings and generalised trigonometric functions
title_full_unstemmed Eigenvalues, embeddings and generalised trigonometric functions
title_short Eigenvalues, embeddings and generalised trigonometric functions
title_sort eigenvalues, embeddings and generalised trigonometric functions
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-642-18429-1
http://cds.cern.ch/record/1691777
work_keys_str_mv AT langjan eigenvaluesembeddingsandgeneralisedtrigonometricfunctions
AT edmundsdavid eigenvaluesembeddingsandgeneralisedtrigonometricfunctions