Four Short Courses on Harmonic Analysis, 2010
Wavelets, Frames, Time-Frequency Methods, and Applications to Signal and Image Analysis

Applied and Numerical Harmonic Analysis Series

Coordinators: Forster Brigitte, Massopust Peter

Language: English

Approximative price 73.84 €

Subject to availability at the publisher.

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249 p. · 15.5x23.5 cm · Hardback

Written by internationally renowned mathematicians, this state-of-the-art textbook examines four research directions in harmonic analysis and features some of the latest applications in the field. The work is the first one that combines spline theory, wavelets, frames, and time-frequency methods leading up to a construction of wavelets on manifolds other than Rn.

Four Short Courses on Harmonic Analysis is intended as a graduate-level textbook for courses or seminars on harmonic analysis and its applications. The work is also an excellent reference or self-study guide for researchers and practitioners with diverse mathematical backgrounds working in different fields such as pure and applied mathematics, image and signal processing engineering, mathematical physics, and communication theory.

Introduction: Mathematical Aspects of Time-Frequency Analysis 1. B-Spline Generated Frames 2. Continuous and Discrete Reproducing Systems That Arise from Translations. Theory and Applications of Composite Wavelets 3. Wavelets on the Sphere 4. Wiener's Lemma: Theme and Variations. An Introduction to Spectral Invariance and Its Applications References Index

The first work to combine spline theory, wavelets, frames, and time-frequency methods up to construction on manifolds other then Rn

Written by world-renowned experts in harmonic analysis

Main emphasis is on interdependence of the four modern research directions in harmonic analysis covered in the book

Exercises at the end of each chapter

Intended as a graduate-level textbook for a courses on harmonic analysis and related areas

Includes supplementary material: sn.pub/extras