TY  - GEN
AU  - Deitmar, Anton 
AU  - Echterhoff, Siegfried
TI  - Principles of harmonic analysis
SN  - 9783319709482
U1  - 515.2433 
PY  - 2018///
CY  - Cham
PB  - Springer
KW  - Abstract Harmonic Analysis
KW  - Application of Mathematics
KW  - Applied Mathematics
KW  - Civil & Environmental Engineering
KW  - Fourier Analysis
KW  - Operation Research
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  -