Harmonic Analysis and Applications

H.G. Feichtinger: Foreword C. Heil: Preface The Benedetto Mathematical Family Tree Publications of John J. Benedetto ------------------ Part I. Harmonic Analysis G. Benke: The Gibbs Phenomenon in Higher Dimensions H.P. Heinig: Weighted Sobolev Inequalities for Gradients G. Zimmermann: Semidiscrete Multipliers ----------------- Part II. Frame Theory P.G. Casazza, M. Fickus, J. Kovacevic, M.T. Leon, and J.C. Tremain: A Physical Interpretation of Tight Frames ----------------- Part III. Time-Frequency Analysis W. Czaja and A.M. Powell: Recent Developments in the Balian–Low Theorem J.-P. Gabardo: Some Problems Related to the Distributional Zak Transform E. Hayashi, S. Li, and T. Sorrells: Gabor Duality Characterizations K. Gröchenig: A Pedestrian's Approach to Pseudodifferential Operators C. Heil: Linear Independence of Finite Gabor Systems ----------------- Part IV. Wavelet Theory D. Larson, E. Schulz, D. Speegle, and K.F. Taylor: Explicit Cross-Sections of Singly Generated Group Actions K. Guo, D. Labate, W.-Q Lim, G. Weiss, and E. Wilson: The Theory of Wavelets with Composite Dilations ------------------- Part V. Sampling Theory and Shift-Invariant Spaces J.A. Hogan and J.D. Lakey: Periodic Nonuniform Sampling in Shift-Invariant Spaces B. Rom and D. Walnut: Sampling on Unions of Shifted Lattices in One Dimension A. Aldroubi, C. Cabrelli, and U. Molter: Learning the Right Model from the Data L. Baggett: Redundancy in the Frequency Domain P.G. Casazza, O. Christensen, S. Li, and A. Lindner:Density Results for Frames of Exponentials ------------------ Index