TY  - BOOK
AU  - Deitmar,Anton
AU  - Echterhoff,Siegfried
TI  - Principles of harmonic analysis
T2  - Universitext
SN  - 9783319709482
AV  - QA403 .D45 2009
U1  - 515.243 22
PY  - 2009///
CY  - New York
PB  - Springer
KW  - Harmonic analysis
N1  - Includes bibliographical references (p.323-327) and index; Haar Integration
Anton Deitmar, Siegfried Echterhoff
Pages 1-35
Banach Algebras
Anton Deitmar, Siegfried Echterhoff
Pages 37-60
Duality for Abelian Groups
Anton Deitmar, Siegfried Echterhoff
Pages 61-83
The Structure of LCA-Groups
Anton Deitmar, Siegfried Echterhoff
Pages 85-106
Operators on Hilbert Spaces
Anton Deitmar, Siegfried Echterhoff
Pages 107-121
Representations
Anton Deitmar, Siegfried Echterhoff
Pages 123-131
Compact Groups
Anton Deitmar, Siegfried Echterhoff
Pages 133-151
Direct Integrals
Anton Deitmar, Siegfried Echterhoff
Pages 153-163
The Selberg Trace Formula
Anton Deitmar, Siegfried Echterhoff
Pages 165-183
The Heisenberg Group
Anton Deitmar, Siegfried Echterhoff
Pages 185-194
Anton Deitmar, Siegfried Echterhoff
Pages 195-223
Wavelets
Anton Deitmar, Siegfried Echterhoff
Pages 225-245
p-Adic Numbers and Adeles
Anton Deitmar, Siegfried Echterhoff     Pages 247-267
Back Matter     Pages 269-332
N2  - 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
ER  -