Lehrstuhl A für Mathematik, RWTH Aachen

Analysis und Zahlentheorie

Prof. Dr. A. Krieg

Front cover

Springer Lecture Notes in Mathematics, Nr. 1863
2005, X, 193 p., Softcover
ISBN: 3-540-24259-7

This volume contains a systematic discussion of wavelet-type inversion formulae based on group representations, and their close connection to the Plancherel formula for locally compact groups. The connection is demonstrated by the discussion of a toy example, and then employed for two purposes: Mathematically, it serves as a powerful tool, yielding existence results and criteria for inversion formulae which generalize many of the known results. Moreover, the connection provides the starting point for a  -reasonably self-contained- exposition of Plancherel theory. Therefore, the volume can also be read as a problem-driven introduction to the Plancherel formula.

Text Samples (in pdf format): Preface Table of Contents  Introduction Bibliography

List of errata (pdf format)

Link to Springer Online

Lehrstuhl A für Mathematik
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