TY  - BOOK
AU  - Deitmar, Anton
AU  - Echterhoff, Siegfried
TI  - Principles of harmonic analysis
SN  - 9783319709482
U1  - 515.2433 DEI-A 
PY  - 2014///
CY  - Switzerland
PB  - Springer
KW  - Harmonic analysis
KW  - Mathematics
KW  - Visualization
KW  - Fourier analysis
KW  - Engineering mathematics
N1  - 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
ER  -