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 Topics in Mean Periodic Functions and the Two-Radius TheoremLectures on Topics in Mean Periodic Functions and the Two-Radius Theorem
by - Tata Institute of Fundamental Research
Subjects treated: transmutations of singular differential operators of the second order in the real case; new results on the theory of mean periodic functions; proof of the two-radius theorem, which is the converse of Gauss's classical theorem.
(4705 views)
Book cover: An elementary treatise on Fourier's series and spherical, cylindrical, and ellipsoidal harmonicsAn elementary treatise on Fourier's series and spherical, cylindrical, and ellipsoidal harmonics
by - Ginn and company
From the table of contents: Development in Trigonometric Series; Convergence of Fourier's Series; Solution of Problems in Physics by the Aid of Fourier's Integrals and Fourier's Series; Zonal Harmonics; Spherical Harmonics; Cylindrical Harmonics; ...
(10991 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.
(5098 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.
(13555 views)