Principles of harmonic analysis / Anton Deitmar and Siegfried Echterhoff

By:

Deitmar, Anton

Contributor(s):

Echterhoff, Siegfried

Material type: Text

TextPublication details: Switzerland Springer 2014Edition: 2nd edDescription: 332 pISBN:

9783319709482

Subject(s):

DDC classification:

515.2433 DEI-A

Average rating: 0.0 (0 votes)

Holdings
Item type	Current library	Collection	Shelving location	Call number	Status	Date due	Barcode	Item holds
Books	BITS Pilani Hyderabad	510	General Stack (For lending)	515.2433 DEI-A (Browse shelf(Opens below))	Available		42848

Total holds: 0

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 the 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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