Logo

Harmonic Function Theory by Sheldon Axler, Paul Bourdon, Wade Ramey

Large book cover: Harmonic Function Theory

Harmonic Function Theory
by

Publisher: Springer
ISBN/ASIN: 0387952187
ISBN-13: 9780387952185
Number of pages: 270

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.

Home page url

Download or read it online for free here:
Download link
(1.4MB, PDF)

Similar books

Book cover: Harmonic AnalysisHarmonic Analysis
by - New York University
Fourier Series of a periodic function. Fejer kernel. Convergence Properties. Convolution and Fourier Series. Heat Equation. Diagonalization of convolution operators. Fourier Transforms on Rd. Multipliers and singular integral operators. etc...
(6298 views)
Book cover: Lectures on Harmonic AnalysisLectures on Harmonic Analysis
by - American Mathematical Society
An inside look at the techniques used and developed by the author. The book is based on a graduate course on Fourier analysis he taught at Caltech. It demonstrates how harmonic analysis can provide penetrating insights into deep aspects of analysis.
(6804 views)
Book cover: Harmonic AnalysisHarmonic Analysis
by - University of Kentucky
These notes are intended for a course in harmonic analysis on Rn for graduate students. The background for this course is a course in real analysis which covers measure theory and the basic facts of life related to Lp spaces.
(6067 views)
Book cover: Chebyshev and Fourier Spectral MethodsChebyshev and Fourier Spectral Methods
by - Dover Publications
The text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, cardinal functions, etc.
(14746 views)