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: Fourier Series and Systems of Differential Equations and Eigenvalue ProblemsFourier Series and Systems of Differential Equations and Eigenvalue Problems
by - BookBoon
This volume gives some guidelines for solving problems in the theories of Fourier series and Systems of Differential Equations and eigenvalue problems. It can be used as a supplement to the textbooks in which one can find all the necessary proofs.
(8209 views)
Book cover: Spherical Harmonics in p DimensionsSpherical Harmonics in p Dimensions
by - arXiv
The authors prepared this booklet in order to make several useful topics from the theory of special functions, in particular the spherical harmonics and Legendre polynomials for any dimension, available to physics or mathematics undergraduates.
(4288 views)
Book cover: Linear Partial Differential Equations and Fourier TheoryLinear Partial Differential Equations and Fourier Theory
by - Cambridge University Press
Textbook for an introductory course on linear partial differential equations and boundary value problems. It also provides introduction to basic Fourier analysis and functional analysis. Written for third-year undergraduates in mathematical sciences.
(22050 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.
(4657 views)