Principles of Harmonic Analysis. 2nd ed. 2014

種類:

電子ブック

責任表示:

by Anton Deitmar, Siegfried Echterhoff

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2014

著者名:

• Deitmar, Anton
• Echterhoff, Siegfried
• SpringerLink (Online service)

シリーズ名:

Universitext ;

ISBN:

9783319057927 [3319057928]    

注記:

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

ローカル注記:

学内専用E-BOOKS (local access only)