Advances in Gabor Analysis

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methods in a variety of disciplines * Provides sufficient background material along with many new and previously unpublished results * Presents applications to areas such as digital and wireless communications * Up-to-date bibliographies for each chapter; useful subject index for the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 Gabor Analysis 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, 1998Feichtinger, Hans G. is the author of 'Advances in Gabor Analysis' with ISBN 9780817642396 and ISBN 0817642390.