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methods in a variety of disciplines * provides sufficient background material along with many new and previously unpublished results * presents applications to areas such as digital and wireless communications * up-to-date bibliographies for each chapter; useful subject index for the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. bölcskei, p.g. casazza, o. christensen, i. daubechies, h.g. feichtinger, j.-p. gabardo, k. gröchenig, 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