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

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.
Format: eBook
Language:English
Published: Boston, MA Birkhäuser 2009, 2009
Edition:1st ed. 2009
Series:Applied and Numerical Harmonic Analysis
Subjects:
Group Theory And Generalizations
Several Complex Variables And Analytic Spaces
Group Theory
Functions Of Complex Variables
Harmonic Analysis
Fourier Analysis
Approximations And Expansions
Mathematical Modeling And Industrial Mathematics
Abstract Harmonic Analysis
Approximation Theory
Mathematical Models
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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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