Explorations in Harmonic Analysis

With Applications to Complex Function Theory and the Heisenberg Group

Gebonden Engels 2009 2009e druk 9780817646684
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Samenvatting

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.

Specificaties

ISBN13:9780817646684
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:362
Druk:2009

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Inhoudsopgave

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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€ 60,99
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        Explorations in Harmonic Analysis