[PDF.18nc] Abstract Harmonic Analysis of Continuous Wavelet Transforms (Lecture Notes in Mathematics)

Abstract Harmonic Analysis of Continuous Wavelet Transforms (Lecture Notes in Mathematics)

[PDF.we19] Abstract Harmonic Analysis of Continuous Wavelet Transforms (Lecture Notes in Mathematics)

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 | #6559266 in Books |  2008-10-10 | Original language:English | PDF # 1 |  9.25 x.48 x6.10l,.70 | File type: PDF | 193 pages

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|| ||From the reviews: | |"It has become evident that the one-dimensional continuous wavelet transform has a natural foundation in unitary representation theory. … also various multidimensional generalizations as well as the windowed Fourier transform can b

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 connectio...

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