From Vectors to Tensors by Hartmut FГјhr

From Vectors to Tensors



Download From Vectors to Tensors




From Vectors to Tensors Hartmut FГјhr
Language: English
Page: 679
Format: pdf
ISBN: 3540242597, 9783540242598
Publisher: Springer

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.

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