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Principles of Harmonic Analysis

Principles of Harmonic Analysis

Anton Deitmar / Siegfried Echterhoff

47,58 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2014
Materia
Cálculo y análisis matemático
ISBN:
9783319057934
47,58 €
IVA incluido
Disponible

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Sobre IBD

This book offers a complete and streamlined treatment of the central principles of abelian harmonic analysis: Pontryagin duality, the Plancherel theorem and the Poisson summation formula, as well as their respective generalizations to non-abelian groups, including the Selberg trace formula. The principles are then applied to spectral analysis of Heisenberg manifolds and Riemann surfaces. This new edition contains a new chapter on p-adic and adelic groups, as well as a complementary section on direct and projective limits. Many of the supporting proofs have been revised and refined. The book is an excellent resource for graduate students who wish to learn and understand harmonic analysis and for researchers seeking to apply it.

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Otros libros del autor

  • Principles of Harmonic Analysis
    Anton Deitmar / Siegfried Echterhoff
    This book offers a complete and streamlined treatment of the central principles of abelian harmonic analysis: Pontryagin duality, the Plancherel theorem and the Poisson summation formula, as well as their respective generalizations to non-abelian groups, including the Selberg trace formula. The principles are then applied to spectral analysis of Heisenberg manifolds and Riemann...
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  • Principles of Harmonic Analysis
    Anton Deitmar / Siegfried Echterhoff
    The tread of this book is formed by two fundamental principles of Harmonic Analysis: the Plancherel Formula and the Poisson S- mation Formula. We ?rst prove both for locally compact abelian groups. For non-abelian groups we discuss the Plancherel Theorem in the general situation for Type I groups. The generalization of the Poisson Summation Formula to...
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