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.