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Harmonic Function Theory (Graduate Texts in Mathematics, 137, Band 137) - Hardcover

Axler, Sheldon; Bourdon, Paul; Wade, Ramey

 
9780387952185: Harmonic Function Theory (Graduate Texts in Mathematics, 137, Band 137)
Hardcover
ISBN 10: 0387952187 ISBN 13: 9780387952185
Verlag: Springer, 2001

Inhaltsangabe

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.

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Verlag
Springer
Erscheinungsdatum
2001
Sprache
Englisch
ISBN 10 
0387952187
ISBN 13 
9780387952185
Einband
Gebundene Ausgabe
Auflage
2
Anzahl der Seiten
276
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