Logo

Harmonic Analysis by S.R.S. Varadhan

Small book cover: Harmonic Analysis

Harmonic Analysis
by

Publisher: New York University
Number of pages: 82

Description:
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. Interpolation. Sobolev Spaces, Applications to PDE. Theorems of Paley-Wiener and Wiener. Hardy Spaces. Prediction. Compact Groups. Peter-Weyl Theorem.

Home page url

Download or read it online for free here:
Download link
(multiple PDF/PS files)

Similar books

Book cover: Lectures on Potential TheoryLectures on Potential Theory
by - Tata Institute of Fundamental Research
In the following we shall develop some results of the axiomatic approaches to potential theory principally some convergence theorems; they may be used as fundamental tools and applied to classical case as we shall indicate sometimes.
(4663 views)
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.
(5009 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.
(5785 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.
(6242 views)