TY - BOOK ID - 36762385 TI - Principles of Harmonic Analysis AU - Deitmar, Anton. AU - Echterhoff, Siegfried PY - 2014 SN - 331905791X 3319057928 9783319057910 PB - Cham : Springer International Publishing : Imprint: Springer, DB - UniCat KW - Mathematics. KW - Harmonic analysis. KW - Applied mathematics. KW - Engineering mathematics. KW - Visualization. KW - Abstract Harmonic Analysis. KW - Applications of Mathematics. KW - Visualisation KW - Imagery (Psychology) KW - Imagination KW - Visual perception KW - Engineering KW - Engineering analysis KW - Mathematical analysis KW - Analysis (Mathematics) KW - Functions, Potential KW - Potential functions KW - Banach algebras KW - Calculus KW - Mathematics KW - Bessel functions KW - Fourier series KW - Harmonic functions KW - Time-series analysis KW - Math KW - Science UR - https://www.unicat.be/uniCat?func=search&query=sysid:36762385 AB - 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 -