**Real Harmonic Analysis**

by Pascal Auscher, Lashi Bandara

**Publisher**: ANU eView 2012**ISBN-13**: 9781921934087**Number of pages**: 113

**Description**:

This book presents the material covered in graduate lectures delivered at The Australian National University in 2010. Moving from the classical periodic setting to the real line, then to higher dimensional Euclidean spaces and finally to, nowadays, sets with minimal structures, the theory has reached a high level of applicability.

Download or read it online for free here:

**Download link**

(940KB, PDF)

## Similar books

**An elementary treatise on Fourier's series and spherical, cylindrical, and ellipsoidal harmonics**

by

**William Elwood Byerly**-

**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; ...

(

**12521**views)

**Lectures on Potential Theory**

by

**M. Brelot**-

**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.

(

**5826**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.

(

**6044**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.

(

**4010**views)