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Principles of Harmonic Analysis (Universitext) by Siegfried Echterhoff

Автор: Bo0mB0om » 6 марта 2016
Principles of Harmonic Analysis (Universitext) by Siegfried Echterhoff
Principles of Harmonic Analysis (Universitext) by Siegfried Echterhoff
English | Nov 21, 2008 | ISBN: 0387854681 | 336 Pages | PDF | 1 MB

The tread of this book is formed by two fundamental principles of Harmonic Analysis: the Plancherel Formula and the Poisson S- mation Formula. We ?rst prove both for locally compact abelian groups.


For non-abelian groups we discuss the Plancherel Theorem in the general situation for Type I groups. The generalization of the Poisson Summation Formula to non-abelian groups is the S- berg Trace Formula, which we prove for arbitrary groups admitting uniform lattices. As examples for the application of the Trace F- mula we treat the Heisenberg group and the group SL (R). In the 2 2 former case the trace formula yields a decomposition of the L -space of the Heisenberg group modulo a lattice.


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