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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Krantz, Steven G. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2009.
Edición:1st ed. 2009.
Colección:Applied and Numerical Harmonic Analysis,
Temas:
Harmonic analysis.
Fourier analysis.
Mathematical models.
Approximation theory.
Functions of complex variables.
Group theory.
Abstract Harmonic Analysis.
Fourier Analysis.
Mathematical Modeling and Industrial Mathematics.
Approximations and Expansions.
Several Complex Variables and Analytic Spaces.
Group Theory and Generalizations.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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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