Harmonic Function Theory [electronic resource] /
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.
Main Authors: | , , , |
---|---|
Format: | Texto biblioteca |
Language: | eng |
Published: |
New York, NY : Springer New York : Imprint: Springer,
2001
|
Subjects: | Mathematics., Potential theory (Mathematics)., Potential Theory., |
Online Access: | http://dx.doi.org/10.1007/978-1-4757-8137-3 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
id |
KOHA-OAI-TEST:188958 |
---|---|
record_format |
koha |
spelling |
KOHA-OAI-TEST:1889582018-07-30T23:12:46ZHarmonic Function Theory [electronic resource] / Axler, Sheldon. author. Bourdon, Paul. author. Ramey, Wade. author. SpringerLink (Online service) textNew York, NY : Springer New York : Imprint: Springer,2001.engThis 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.Basic Properties of Harmonic Functions -- Bounded Harmonic Functions -- Positive Harmonic Functions -- The Kelvin Transform -- Harmonic Polynomials -- Harmonic Hardy Spaces -- Harmonic Functions on Half-Spaces -- Harmonic Bergman Spaces -- The Decomposition Theorem -- Annular Regions -- The Dirichlet Problem and Boundary Behavior.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.Mathematics.Potential theory (Mathematics).Mathematics.Potential Theory.Springer eBookshttp://dx.doi.org/10.1007/978-1-4757-8137-3URN:ISBN:9781475781373 |
institution |
COLPOS |
collection |
Koha |
country |
México |
countrycode |
MX |
component |
Bibliográfico |
access |
En linea En linea |
databasecode |
cat-colpos |
tag |
biblioteca |
region |
America del Norte |
libraryname |
Departamento de documentación y biblioteca de COLPOS |
language |
eng |
topic |
Mathematics. Potential theory (Mathematics). Mathematics. Potential Theory. Mathematics. Potential theory (Mathematics). Mathematics. Potential Theory. |
spellingShingle |
Mathematics. Potential theory (Mathematics). Mathematics. Potential Theory. Mathematics. Potential theory (Mathematics). Mathematics. Potential Theory. Axler, Sheldon. author. Bourdon, Paul. author. Ramey, Wade. author. SpringerLink (Online service) Harmonic Function Theory [electronic resource] / |
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. |
format |
Texto |
topic_facet |
Mathematics. Potential theory (Mathematics). Mathematics. Potential Theory. |
author |
Axler, Sheldon. author. Bourdon, Paul. author. Ramey, Wade. author. SpringerLink (Online service) |
author_facet |
Axler, Sheldon. author. Bourdon, Paul. author. Ramey, Wade. author. SpringerLink (Online service) |
author_sort |
Axler, Sheldon. author. |
title |
Harmonic Function Theory [electronic resource] / |
title_short |
Harmonic Function Theory [electronic resource] / |
title_full |
Harmonic Function Theory [electronic resource] / |
title_fullStr |
Harmonic Function Theory [electronic resource] / |
title_full_unstemmed |
Harmonic Function Theory [electronic resource] / |
title_sort |
harmonic function theory [electronic resource] / |
publisher |
New York, NY : Springer New York : Imprint: Springer, |
publishDate |
2001 |
url |
http://dx.doi.org/10.1007/978-1-4757-8137-3 |
work_keys_str_mv |
AT axlersheldonauthor harmonicfunctiontheoryelectronicresource AT bourdonpaulauthor harmonicfunctiontheoryelectronicresource AT rameywadeauthor harmonicfunctiontheoryelectronicresource AT springerlinkonlineservice harmonicfunctiontheoryelectronicresource |
_version_ |
1756265854855544832 |