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Slice hyperholomorphic Schur analysis

This book defines and examines the counterpart of Schur functions and Schur analysis in the slice hyperholomorphic setting. It is organized into three parts: the first introduces readers to classical Schur analysis, while the second offers background material on quaternions, slice hyperholomorphic f...

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Detalles Bibliográficos
Autores principales: Alpay, Daniel, Colombo, Fabrizio, Sabadini, Irene
Lenguaje:eng
Publicado: Springer 2016
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-319-42514-6
http://cds.cern.ch/record/2240960
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author Alpay, Daniel
Colombo, Fabrizio
Sabadini, Irene
author_facet Alpay, Daniel
Colombo, Fabrizio
Sabadini, Irene
author_sort Alpay, Daniel
collection CERN
description This book defines and examines the counterpart of Schur functions and Schur analysis in the slice hyperholomorphic setting. It is organized into three parts: the first introduces readers to classical Schur analysis, while the second offers background material on quaternions, slice hyperholomorphic functions, and quaternionic functional analysis. The third part represents the core of the book and explores quaternionic Schur analysis and its various applications. The book includes previously unpublished results and provides the basis for new directions of research.
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language eng
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spelling cern-22409602021-04-21T19:23:16Zdoi:10.1007/978-3-319-42514-6http://cds.cern.ch/record/2240960engAlpay, DanielColombo, FabrizioSabadini, IreneSlice hyperholomorphic Schur analysisMathematical Physics and MathematicsThis book defines and examines the counterpart of Schur functions and Schur analysis in the slice hyperholomorphic setting. It is organized into three parts: the first introduces readers to classical Schur analysis, while the second offers background material on quaternions, slice hyperholomorphic functions, and quaternionic functional analysis. The third part represents the core of the book and explores quaternionic Schur analysis and its various applications. The book includes previously unpublished results and provides the basis for new directions of research.Springeroai:cds.cern.ch:22409602016
spellingShingle Mathematical Physics and Mathematics
Alpay, Daniel
Colombo, Fabrizio
Sabadini, Irene
Slice hyperholomorphic Schur analysis
title Slice hyperholomorphic Schur analysis
title_full Slice hyperholomorphic Schur analysis
title_fullStr Slice hyperholomorphic Schur analysis
title_full_unstemmed Slice hyperholomorphic Schur analysis
title_short Slice hyperholomorphic Schur analysis
title_sort slice hyperholomorphic schur analysis
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-319-42514-6
http://cds.cern.ch/record/2240960
work_keys_str_mv AT alpaydaniel slicehyperholomorphicschuranalysis
AT colombofabrizio slicehyperholomorphicschuranalysis
AT sabadiniirene slicehyperholomorphicschuranalysis