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: Nonlinear Fourier AnalysisNonlinear Fourier Analysis
by - arXiv
The nonlinear Fourier transform is the map from the potential of a one dimensional discrete Dirac operator to the transmission and reflection coefficients thereof. Emphasis is on this being a nonlinear variant of the classical Fourier series.
(9052 views)
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...
(10081 views)
Book cover: Real Harmonic AnalysisReal Harmonic Analysis
by - ANU eView
This book presents the material covered in graduate lectures delivered in 2010. Moving from the classical periodic setting to the real line, then to, nowadays, sets with minimal structures, the theory has reached a high level of applicability.
(5653 views)
Book cover: Notes on Harmonic AnalysisNotes on Harmonic Analysis
by
Tutorial discussing some of the numerical aspects of practical harmonic analysis. Topics include Historical Background, Fourier Series and Integral Approximations, Convergence Improvement, Differentiation of Fourier Series and Sigma Factors, etc.
(11045 views)