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25 Remote Warehouse Mathematics- Analysis General

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

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Four Short Courses on Harmonic Analysis: Wavelets, Frames, Time-Frequency Methods, and Applications to Signal and Image Analysis (Applied and Numerical Harmonic Analysis) Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

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.

Synopsis:

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.

Table of Contents

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

Product Details

ISBN:
9780817648909
Author:
Forster, Brigitte
Publisher:
Birkhauser
Editor:
Massopust, Peter
Editor:
Forster-Heinlein, Brigitte
Editor:
Brigitte Forster-Heinlein, Forster-Heinl
Contribution by:
Christensen, OLE
Contribution:
Christensen, OLE
Contribution:
Labate, Demetrio
Author:
Wiaux, Yves
Author:
Labate, Demetrio
Author:
Massopust, Peter
Author:
Christensen, OLE
Author:
Weiss, Guido
Author:
Grochenig, Karlheinz
Author:
Vandergheynst, Pierre
Location:
Boston, MA
Subject:
Mathematical Analysis
Subject:
Mathematical Physics
Subject:
Electronics - General
Subject:
B-spline generated frames
Subject:
Fourier analysis
Subject:
Wiener s lemma
Subject:
composite dilations
Subject:
composite wavelets
Subject:
frames and bases
Subject:
Harmonic analysis
Subject:
Image processing
Subject:
Signal processing
Subject:
spectral invariance
Subject:
Spherical functions.
Subject:
time-frequency methods
Subject:
wavelets on the sphere
Subject:
abstract harmonic analysis
Subject:
Signal, Image and Speech Processing
Subject:
Theoretical, Mathematical and Computational Physics <P>This state-of-the-art 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, an
Subject:
Mathematics-Analysis General
Subject:
Theoretical, Mathematical and Computational Physics
Subject:
Mathematics
Subject:
The Arts
Subject:
mathematics and statistics
Copyright:
Edition Description:
Book
Series:
Applied and Numerical Harmonic Analysis
Publication Date:
20091119
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
267
Dimensions:
235 x 155 mm 1220 gr

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Four Short Courses on Harmonic Analysis: Wavelets, Frames, Time-Frequency Methods, and Applications to Signal and Image Analysis (Applied and Numerical Harmonic Analysis) New Hardcover
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Product details 267 pages Birkhauser Boston - English 9780817648909 Reviews:
"Synopsis" by , 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.
"Synopsis" by , 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.
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