Explorations in Harmonic Analysis: With Applications to Complex Function Theory and the Heisenberg Group / Edition 1

Explorations in Harmonic Analysis: With Applications to Complex Function Theory and the Heisenberg Group / Edition 1

by Steven G Krantz
     
 

ISBN-10: 081764668X

ISBN-13: 9780817646684

Pub. Date: 04/23/2009

Publisher: Birkhauser Verlag

This self-contained text provides an introduction to modern harmonic analysis in the context in which it is actually applied, in particular, through complex function theory and partial differential equations. It takes the novice mathematical reader from the rudiments of harmonic analysis (Fourier series) to the Fourier transform, pseudodifferential operators, and

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Overview

This self-contained text provides an introduction to modern harmonic analysis in the context in which it is actually applied, in particular, through complex function theory and partial differential equations. It takes the novice mathematical reader from the rudiments of harmonic analysis (Fourier series) to the Fourier transform, pseudodifferential operators, and finally to Heisenberg analysis.

Product Details

ISBN-13:
9780817646684
Publisher:
Birkhauser Verlag
Publication date:
04/23/2009
Series:
Applied and Numerical Harmonic Analysis Series
Edition description:
2009
Pages:
362
Product dimensions:
6.30(w) x 9.40(h) x 1.00(d)

Table of Contents

Ontology and History of Real Analysis.- The Central Idea: The Hilbert Transform.- Essentials of the Fourier Transform.- Fractional and Singular Integrals.- A Crash Course in Several Complex Variables.- Pseudoconvexity and Domains of Holomorphy.- Canonical Complex Integral Operators.- Hardy Spaces Old and New.- to the Heisenberg Group.- Analysis on the Heisenberg Group.- A Coda on Domains of Finite Type.

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