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Principles of Harmonic Analysis (Universitext)
Deitmar, Anton, Echterhoff, Siegfried
€ 84.13
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Description for Principles of Harmonic Analysis (Universitext)
Paperback. This gently-paced book fills a major gap in the textbook literature and includes a full proof of Pontryagin Duality and Plancherel Theorem. The authors emphasize Banach algebras as the cleanest way to get many fundamental results in harmonic analysis. Series: Universitext. Num Pages: 348 pages, biography. BIC Classification: PBKD. Category: (P) Professional & Vocational. Dimension: 236 x 156 x 21. Weight in Grams: 534.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2008
Publisher
Springer
Condition
New
Series
Universitext
Number of Pages
333
Place of Publication
New York, NY, United States
ISBN
9780387854687
SKU
V9780387854687
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Principles of Harmonic Analysis (Universitext)
From the reviews: "Principles of Harmonic Analysis is an excellent and thorough introduction to both commutative and non-commutative harmonic analysis. It is suitable for any graduates student with the appropriate background … . In summary, this is a superb book. … it is extremely readable and well organized. Graduate students, and other newcomers to the field, will ... Read more