Explorations in Harmonic Analysis

With Applications to Complex Function Theory and the Heisenberg Group
2009. Auflage 2009
ISBN: 978-0-8176-4668-4
Verlag: Birkhauser Boston

Buch, Englisch, 362 Seiten, Format (B × H): 167 mm x 243 mm, Gewicht: 1560 g

Reihe: Applied and Numerical Harmonic Analysis

This text on modern harmonic analysis provides an introduction to the subject in the context in which it is actually applied, in particular, through complex function theory and partial differential equations. The exposition begins with the fundamentals of Fourier analysis, complex function theory, and integral operators and further introduces students to cutting-edge ideas about the Heisenberg group.

Zielgruppe

Graduate

Autoren/Hrsg.

Krantz, Steven G

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik

Inhaltsverzeichnis

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.