**Harmonic Analysis**

by Russell Brown

**Publisher**: University of Kentucky 2009**Number of pages**: 191

**Description**:

These notes are intended for a course in harmonic analysis on Rn which was offered to graduate students at the University of Kentucky in Spring of 2001. 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.

Download or read it online for free here:

**Download link**

(750KB, PDF)

## Similar books

**Spherical Harmonics in p Dimensions**

by

**Christopher Frye, Costas J. Efthimiou**-

**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.

(

**3965**views)

**Contributions to Fourier Analysis**

by

**A. Zygmund, et al.**-

**Princeton University Press**

In the theory of convergence and summability, emphasis is placed on the phenomenon of localization whenever such occurs, and in the present paper a certain aspect of this phenomenon will be studied for the problem of best approximation as well.

(

**1865**views)

**Nonlinear Fourier Analysis**

by

**Terence Tao, Christoph Thiele**-

**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.

(

**4190**views)

**Lectures on Topics in Mean Periodic Functions and the Two-Radius Theorem**

by

**J. Delsarte**-

**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.

(

**3990**views)