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 files)

Similar books

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.
(11046 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.
(10018 views)
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.
(8664 views)
Book cover: Lectures on Mean Periodic FunctionsLectures on Mean Periodic Functions
by - Tata Institute of Fundamental Research
Mean periodic functions are a generalization of periodic functions. The book considers questions such as Fourier-series, harmonic analysis, the problems of uniqueness, approximation and quasi-analyticity, as problems on mean periodic functions.
(9123 views)