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.
Format: Paperback / softback
CONTRIBUTORS: Anton Deitmar
EAN: 9783319379043
COUNTRY: Switzerland
PAGES:
WEIGHT: 534 g
HEIGHT: 235 cm
PUBLISHED BY: Springer International Publishing AG
DATE PUBLISHED: 2016-09-17
CITY:
GENRE: MATHEMATICS / Applied, MATHEMATICS / Graphic Methods, MATHEMATICS / Mathematical Analysis
WIDTH: 155 cm
SPINE:
Book Themes:
Complex analysis, complex variables, Applied mathematics, Information visualization
Anton Deitmar is a professor of Mathematics at the University of Tübingen, Germany. Siegfried Echterhoff is a professor of Mathematics at the University of Münster, Germany.
