| Advances in Gabor Analysis 2003 Edition Contributor(s): Feichtinger, Hans G. (Editor), Strohmer, Thomas (Editor) |
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ISBN: 0817642390 ISBN-13: 9780817642396 Publisher: Birkhauser OUR PRICE: $104.49 Product Type: Hardcover - Other Formats Published: December 2002 Annotation: This unified, self-contained volume provides insight into the richness of Gabor analysis and its potential for future development in applied mathematics and engineering. Mathematicians and engineers treat a range of topics covering theory as well as applications in eleven survey chapters. Taken as a whole, the work demonstrates interactions and connections among different areas in which Gabor analysis plays a critical role, including harmonic analysis, operator theory, quantum physics, numerical analysis, electrical engineering, and signal/image processing. Key features of the work: * Gives an overview of recent developments in Gabor analysis, an important tool in the understanding and use of time-frequency analysis methods in a variety of disciplines * Provides sufficient background material along with many new and previously unpublished results * Presents applications to areas such as digital and wireless communications * Up-to-date bibliographies for each chapter; useful subject index for the entire volume * Specific topics covered include: Uncertainty Principles for Time-Frequency Representations; Zak Transforms; Bracket Products for Weyl--Heisenberg Frames; Gabor Multipliers; Gabor Analysis and Operator Algebras; Integral Operators, Pseudodifferential Operators and Gabor Frames; Methods for Approximation of the Inverse (Gabor) Frame Operator; Wilson Bases Graduate students, professionals, and researchers in pure and applied mathematics, mathematical physics, electrical and communications engineering will find Advances in GaborAnalysis a comprehensive resource. Contributors: J.-P. Antoine, F. Bagarello, R. Balan, K. Bittner, H. B??lcskei, P.G. Casazza, O. Christensen, I. Daubechies, H.G. Feichtinger, J.-P. Gabardo, K. Gr??chenig, D. Han, C. Heil, A.J.E.M. Janssen, M.C. Lammers, K. Nowak, T. Strohmer Also edited by Feichtinger and Strohmer---Gabor Analysis and Algorithms: Theory and Applications, ISBN 0-8176-3959-4, 1998 |
| Additional Information |
| BISAC Categories: - Mathematics | Mathematical Analysis - Technology & Engineering | Telecommunications - Mathematics | Applied |
| Dewey: 621.382 |
| LCCN: 2002026029 |
| Series: Applied and Numerical Harmonic Analysis |
| Physical Information: 0.9" H x 6.38" W x 9.56" (1.52 lbs) 356 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: The Applied and Numerical Harmonic Analysis (ANHA) book series aims to provide the engineering, mathematical, and scientific communities with significant developments in harmonic analysis, ranging from abstract har- monic analysis to basic applications. The title of the series reflects the im- portance of applications and numerical implementation, but richness and relevance of applications and implementation depend fundamentally on the structure and depth of theoretical underpinnings. Thus, from our point of view, the interleaving of theory and applications and their creative symbi- otic evolution is axiomatic. Harmonic analysis is a wellspring of ideas and applicability that has flour- ished, developed, and deepened over time within many disciplines and by means of creative cross-fertilization with diverse areas. The intricate and fundamental relationship between harmonic analysis and fields such as sig- nal processing, partial differential equations (PDEs), and image processing is reflected in our state of the art ANHA series. Our vision of modern harmonic analysis includes mathematical areas such as wavelet theory, Banach algebras, classical Fourier analysis, time- frequency analysis, and fractal geometry, as well as the diverse topics that impinge on them. |