Applied and Numerical Harmonic Analysis Applications

A self-contained volume in honor of John J. Benedetto that examines a wide range of topics in harmonic analysis and related areas. The book provides an excellent reference and contains authoritative expositions that will be of lasting interest. John 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 self-contained volume in honor of John covers a wide range of topics in harmonic analysis and related areas, including weighted-norm inequalities, frame theory, wavelet theory, time-frequency 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, well-respected researchers and professionals in the field of harmonic analysis. The book is divided into the following five sections: * Classical harmonic analysis * Frame theory * Time-frequency analysis * Wavelet theory * Sampling theory and shift-invariant 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 This volume, in honor of John J. Benedetto on the occasion of his 65th birthday, features invited articles covering a wide range of topics in areas where he has made fundamental and lasting contributions, such as harmonic analysis, number theory, weighted norm inequalities, wavelet theory, time-frequency analysis, and sampling theory.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, well-respected researchers and professionals in the field. "Harmonic Analysis and its Applications" pays tribute to Benedetto's many achievements and expresses an appreciation for both the mathematical and personal inspiration that he has given to so many students, coauthors, and colleagues.Contributors: A. Aldroubi, L. Baggett, G. Benke, C.A. Cabrelli, P.G. Casazza, O. Christensen, W. Czaja, C. Davis, H.G. Feichtinger, M. Fickus, J.-P. Gabardo, K. Groechenig, K. Guo, E. Hayashi, C. Heil, H.P. Heinig, J. Hogan, P.E.T. Jorgensen, K. Kornelson, J. Kovacevic, D. Labate, J.D. Lakey, D.R. Larson, M.T. Leon, S. Li, W.-Q. Lim, A. Linder, U.M. Molter, E. Schulz, T. Sorrels, D. Speegle, K.F. Taylor, J.C. Tremain, D.F. Walnut, Y. Wang, G. Weiss, E. Wilson.