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

Name: Four Short Courses on Harmonic Analysis: Wavelets, Frames, Time-Frequency Methods, and Applications to Signal and Image Analysis
Brand: Springer
SKU: 9780817648909
Price: 3633.0 INR
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by Brigitte Forster

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ISBN13: 9780817648909
Binding: Hardcover
Subject: N/A
Publisher: Springer
Publisher Imprint: Birkhauser
Publication Date: November 19, 2009
Pages: 249
Original Price: EUR 49.99
Language: English
Edition: 2010
Item Weight: 554 grams
BISAC Subject(s): Mathematical Analysis, Physics / Mathematical & Computational, and Electronics / General

About The Book

From the Back Cover

This state-of-the-art textbook examines four research directions in harmonic analysis and features some of the latest applications in the field, including cosmic microwave background analysis, human cortex image denoising, and wireless communication. The work is the first one that combines spline theory (from a numerical or approximation-theoretical view), wavelets, frames, and time-frequency methods leading up to a construction of wavelets on manifolds other than Rⁿ.

Written by internationally renowned mathematicians, the interdisciplinary chapters are expository by design, enabling the reader to understand the theory behind modern image and signal processing methodologies. The main emphasis throughout the book is on the interdependence of the four modern research directions covered. Each chapter ends with exercises that allow for a more in-depth understanding of the material and are intended to stimulate the reader toward further research. A comprehensive index completes the work.

Topics covered:

* Frames and bases in mathematics and engineering

* Wavelets with composite dilations and their applications

* Wavelets on the sphere and their applications

* Wiener's Lemma: theme and variations

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.

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