Harmonic Analysis and Applications: In Honor of John J. BenedettoJohn J. Benedetto has had a profound influence not only on the direction of harmonic analysis and its applications, but also on the entire community of people involved in the field. This selfcontained volume in honor of John covers a wide range of topics in harmonic analysis and related areas, including weightednorm inequalities, frame theory, wavelet theory, timefrequency analysis, and sampling theory. The invited chapters pay tribute to John’s many achievements and express an appreciation for both the mathematical and personal inspiration he has given to so many students, coauthors, and colleagues. Although the scope of the book is broad, chapters are clustered by topic to provide authoritative expositions that will be of lasting interest. The original papers collected here are written by prominent, wellrespected researchers and professionals in the field of harmonic analysis. The book is divided into the following five sections:
* Classical harmonic analysis * Frame theory * Timefrequency analysis * Wavelet theory * Sampling theory and shiftinvariant spaces
Harmonic Analysis and Applications is an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics. Contributors: A. Aldroubi, L. Baggett, G. Benke, C. Cabrelli, P.G. Casazza, O. Christensen, W. Czaja, M. Fickus, J.P. Gabardo, K. Gröchenig, K. Guo, E. Hayashi, C. Heil, H.P. Heinig, J.A. Hogan, E. Kovacevic, D. Labate, J.D. Lakey, D. Larson, M.T. Leon, S. Li, W.Q Lim, A. Lindner, U. Molter, A.M. Powell, B. Rom, E. Schulz, T. Sorrells, D. Speegle, K.F. Taylor, J.C. Tremain, D. Walnut, G. Weiss, E. Wilson, G. Zimmermann

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Contents
George Benke  3 
Some Problems Related to the Distributional  6 
Hans P Heinig  17 
Peter G Casazza Matthew Fickus Jelena Kovacevic Manuel T Leon  51 
JeanPierre Gabardo  101 
Gabor Duality Characterizations  127 
Linear Independence of Finite Gabor Systems  170 
Sampling on Unions of Shifted Lattices in One Dimension  289 
Learning the Right Model from the Data  324 
Density Results for Frames of Exponentials  358 
Other editions  View all
Harmonic Analysis and Applications: In Honor of John J. Benedetto Christopher Heil Limited preview  2007 