Harmonic Function Theory - Axler, Sheldon; Bourdon, Paul; Ramey, Wade
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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.…mehr

Produktbeschreibung
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.
  • Produktdetails
  • Graduate Texts in Mathematics Vol.137
  • Verlag: Springer, Berlin
  • New ed.
  • Seitenzahl: 264
  • Erscheinungstermin: Januar 2001
  • Englisch
  • Abmessung: 234mm x 156mm x 18mm
  • Gewicht: 504g
  • ISBN-13: 9780387952185
  • ISBN-10: 0387952187
  • Artikelnr.: 04788147
Autorenporträt
Sheldon Axler is Dean of the College of Science & Engineering at San Francisco State University. He has authored many well-received books.
Inhaltsangabe
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.
Rezensionen
From the reviews of the second edition: "There are several major changes in this second edition ... . Many exercises have been added and several photographs of mathematicians related to harmonic functions are included. The book is a nice introduction to the fundamental notions of potential theory." (European Mathematical Society Newsletter, June, 2002) "We warmly recommend this textbook to graduate students interested in Harmonic Function Theory and/or related areas. We are sure that the reader will be able to appreciate the lively and illuminating discussions in this book, and therefore, will certainly gain a better understanding of the subject." (Ferenc Móricz, Acta Scientiarum Mathematicarum, Vol. 67, 2001) "This is a new edition of a nice textbook ... on harmonic functions in Euclidean spaces, suitable for a beginning graduate level course. ... New exercises are added and numerous minor improvements throughout the text are made." (Alexander Yu. Rashkovsky, Zentralblatt MATH, Vol. 959, 2001)