Harmonic function theory. Graduate Texts in Mathematics; 137.

Axler, Sheldon Jay:

ISBN 10: 3540978755 / ISBN 13: 9783540978756

Verlag: New York, Springer, 1992

Beschreibung

XII, 231 p. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-05173 3540978755 Sprache: Englisch Gewicht in Gramm: 550. Bestandsnummer des Verkäufers 2491421

Bibliografische Details

Titel: Harmonic function theory. Graduate Texts in ...

Verlag: New York, Springer

Erscheinungsdatum: 1992

Einband: Hardcover

Über diesen Titel

Inhaltsangabe:

European Book

Reseña del editor:

Harmonic functions - the solutions of Laplace's equation - play a crucial role in many areas of mathematics, physics, and engineering. Avoiding the disorganization and inconsistent notation of other expositions, the authors approach the field from a more function-theoretic perspective, emphasizing techniques and results that will seem natural to mathematicians comfortable with complex function theory and harmonic analysis; prerequisites for the book are a solid foundation in real and complex analysis together with some basic results from functional analysis. Topics covered include: basic properties of harmonic functions defined on subsets of Rn, including Poisson integrals; properties bounded functions and positive functions, including Liouville's and Cauchy's theorems; the Kelvin transform; Spherical harmonics; hp theory on the unit ball and on half-spaces; harmonic Bergman spaces; the decomposition theorem; laurent expansions and classification of isolated singularities; and boundary behaviour. An appendix describes routines for use with "Mathematica" to manipulate some of the expressions that arise in the study of harmonic functions.