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Harmonic function theory
This is a book about harmonic functions in Euclidean space. Readers with a background in real and complex analysis at the beginning graduate level will feel comfortable with the material presented here. The authors have taken unusual care to motivate concepts and simplify proofs. Topics include: bas...
Autores principales: | , , |
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Lenguaje: | eng |
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Springer
2013
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1007/978-1-4757-8137-3 http://cds.cern.ch/record/1667047 |
_version_ | 1780935431219576832 |
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author | Axler, Sheldon Bourdon, Paul Ramey, Wade |
author_facet | Axler, Sheldon Bourdon, Paul Ramey, Wade |
author_sort | Axler, Sheldon |
collection | CERN |
description | This is a book about harmonic functions in Euclidean space. Readers with a background in real and complex analysis at the beginning graduate level will feel comfortable with the material presented here. The authors have taken unusual care to motivate concepts and simplify proofs. Topics include: basic properties of harmonic functions, Poisson integrals, the Kelvin transform, spherical harmonics, harmonic Hardy spaces, harmonic Bergman spaces, the decomposition theorem, Laurent expansions, isolated singularities, and the Dirichlet problem. The new edition contains a completely rewritten chapter on spherical harmonics, a new section on extensions of Bocher's Theorem, new exercises and proofs, as well as revisions throughout to improve the text. A unique software package-designed by the authors and available by e-mail - supplements the text for readers who wish to explore harmonic function theory on a computer. |
id | cern-1667047 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2013 |
publisher | Springer |
record_format | invenio |
spelling | cern-16670472021-04-21T21:15:38Zdoi:10.1007/978-1-4757-8137-3http://cds.cern.ch/record/1667047engAxler, SheldonBourdon, PaulRamey, WadeHarmonic function theoryMathematical Physics and MathematicsThis is a book about harmonic functions in Euclidean space. Readers with a background in real and complex analysis at the beginning graduate level will feel comfortable with the material presented here. The authors have taken unusual care to motivate concepts and simplify proofs. Topics include: basic properties of harmonic functions, Poisson integrals, the Kelvin transform, spherical harmonics, harmonic Hardy spaces, harmonic Bergman spaces, the decomposition theorem, Laurent expansions, isolated singularities, and the Dirichlet problem. The new edition contains a completely rewritten chapter on spherical harmonics, a new section on extensions of Bocher's Theorem, new exercises and proofs, as well as revisions throughout to improve the text. A unique software package-designed by the authors and available by e-mail - supplements the text for readers who wish to explore harmonic function theory on a computer.Springeroai:cds.cern.ch:16670472013 |
spellingShingle | Mathematical Physics and Mathematics Axler, Sheldon Bourdon, Paul Ramey, Wade Harmonic function theory |
title | Harmonic function theory |
title_full | Harmonic function theory |
title_fullStr | Harmonic function theory |
title_full_unstemmed | Harmonic function theory |
title_short | Harmonic function theory |
title_sort | harmonic function theory |
topic | Mathematical Physics and Mathematics |
url | https://dx.doi.org/10.1007/978-1-4757-8137-3 http://cds.cern.ch/record/1667047 |
work_keys_str_mv | AT axlersheldon harmonicfunctiontheory AT bourdonpaul harmonicfunctiontheory AT rameywade harmonicfunctiontheory |