Harmonic Function Theory

Sheldon Axler, Paul Bourdon, Ramey Wade (Autoren)

Buch | Softcover

264 Seiten

2010 | Softcover reprint of the original 2nd ed. 2001
Springer-Verlag New York Inc.
9781441929112 (ISBN)

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This book is about harmonic functions in Euclidean space. This new edition contains a completely rewritten chapter on spherical harmonics, a new section on extensions of Bochers Theorem, new exercises and proofs, as well as revisions throughout to improve the text. A unique software package 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 * Volume, Surface Area, and Integration on Spheres * Harmonic Function Theory and Mathematica * References * Symbol Index * Index

Erscheint lt. Verlag	3.12.2010
Reihe/Serie	Graduate Texts in Mathematics ; 137
Zusatzinfo	XII, 264 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Gewicht	860 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
ISBN-13	9781441929112 / 9781441929112
Zustand	Neuware