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Four short courses on harmonic analysis. Wavelets, frames, time-frequency methods, and applications to signal and image analysis. (English) Zbl 1182.42002

Applied and Numerical Harmonic Analysis. Basel: Birkhäuser (ISBN 978-0-8176-4890-9/hbk; 978-0-8176-4891-6/ebook). xviii, 247 p. (2010).

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The articles of this volume will be reviewed individually.
Indexed articles:
Massopust, Peter; Forster, Brigitte, Introduction: Mathematical aspects of time-frequency analysis, 1-49 [Zbl 1193.94035]
Christensen, Ole, B-spline generated frames, 51-86 [Zbl 1193.42120]
Labate, Demetrio; Weiss, Guido, Continuous and discrete reproducing systems that arise from translations. Theory and applications of composite wavelets, 87-130 [Zbl 1193.42128]
Vandergheynst, Pierre; Wiaux, Yves, Wavelets on the sphere, 131-174 [Zbl 1193.42131]
Gröchenig, Karlheinz, Wiener’s lemma: Theme and variations. An introduction to spectral invariance and its applications, 175-244 [Zbl 1215.46034]

MSC:

42-06 Proceedings, conferences, collections, etc. pertaining to harmonic analysis on Euclidean spaces
42B35 Function spaces arising in harmonic analysis
42Cxx Nontrigonometric harmonic analysis
41A15 Spline approximation
43A90 Harmonic analysis and spherical functions
00B15 Collections of articles of miscellaneous specific interest
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