Explorations in Harmonic Analysis With Applications to Complex Function Theory and the Heisenberg Group

Explorations in Harmonic Analysis With Applications to Complex Function Theory and the Heisenberg Group / by Steven G. Krantz.

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 se...

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Bibliographic Details
Main Author: Krantz, Steven G. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2009.
Edition:1st ed. 2009.
Series:Applied and Numerical Harmonic Analysis,
Springer eBook Collection.
Subjects:
Harmonic analysis.
Fourier analysis.
Mathematical models.
Approximation theory.
Functions of complex variables.
Group theory.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
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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