This textbook covers four research directions in harmonic analysis and presents some of its latest applications. It is the first work that combines spline theory, wavelets, frames, and time-frequency methods up to construction on manifolds other than Rn. Editor(s): Massopust, Peter R.; Forster-Heinlein, Brigitte. Series: Applied and Numerical Harmonic Analysis. Num Pages: 249 pages, 36 black & white illustrations, biography. BIC Classification: PBK. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 15. Weight in Grams: 546. . 2009. 2010th Edition. hardcover. . . . . Books ship from the US and Ireland.

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Detalles bibliogr�ficos

T�tulo: Four Short Courses on Harmonic Analysis: Wavelets, Frames, Time-Frequency Methods, and Applications to Signal and Image Analysis
Editor: Birkh�user
Fecha de publicaci�n: 2009
Idioma: Ingl�s
ISBN 10: 0817648909
ISBN 13: 9780817648909
Encuadernaci�n: Encuadernaci�n de tapa dura
Estado: New

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Sinopsis

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.

De la contraportada

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

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