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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 .

Harmonic analysis. --- Time-series analysis. --- Frames (Vector analysis) --- Benedetto, John. --- Analysis (Mathematics) --- Functions, Potential --- Potential functions --- Banach algebras --- Calculus --- Mathematical analysis --- Mathematics --- Bessel functions --- Fourier series --- Harmonic functions --- Time-series analysis --- Frame theory (Vector analysis) --- Vector analysis --- Analysis of time series --- Autocorrelation (Statistics) --- Harmonic analysis --- Mathematical statistics --- Probabilities --- Fourier analysis. --- Functional analysis. --- Operator theory. --- Mathematics. --- Abstract Harmonic Analysis. --- Fourier Analysis. --- Functional Analysis. --- Operator Theory. --- Approximations and Expansions. --- Math --- Science --- Functional analysis --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Analysis, Fourier --- Approximation theory. --- Theory of approximation --- Functions --- Polynomials --- Chebyshev systems

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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. The chapters in this volume - compiled on the occasion of his 80th birthday - are written by leading researchers in the field and pay tribute to John's many significant and lasting achievements. Covering a wide range of topics in harmonic analysis and related areas, these chapters are organized into four main parts: harmonic analysis, wavelets and frames, sampling and signal processing, and compressed sensing and optimization. An introductory chapter also provides a brief overview of John's life and mathematical career. This volume will be an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics

Anàlisi harmònica --- Àlgebres de Banach --- Càlcul --- Àlgebres de mesura --- Harmòniques esfèriques --- Ondetes (Matemàtica) --- Anàlisi de Fourier --- Anàlisi de sèries temporals --- Funcions de Bessel --- Functional analysis. --- Fourier analysis. --- Harmonic analysis. --- Analysis (Mathematics) --- Functions, Potential --- Potential functions --- Banach algebras --- Calculus --- Mathematical analysis --- Mathematics --- Bessel functions --- Fourier series --- Harmonic functions --- Time-series analysis --- Analysis, Fourier --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations

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This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 – 2013. Containing cutting-edge results by an impressive array of mathematicians, engineers, and scientists in academia, industry, and government, it will be an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, physics, and engineering. Topics covered include ·        spectral analysis and correlation; ·        radar and communications: design, theory, and applications; ·        sparsity  ·        special topics in harmonic analysis. The February Fourier Talks are held annually at the Norbert Wiener Center for Harmonic Analysis and Applications. Located at the University of Maryland, College Park, the Norbert Wiener Center provides a state-of- the-art research venue for the broad emerging area of mathematical engineering.

Mathematics. --- Abstract Harmonic Analysis. --- Approximations and Expansions. --- Functional Analysis. --- Integral Transforms, Operational Calculus. --- Appl.Mathematics/Computational Methods of Engineering. --- Harmonic analysis. --- Functional analysis. --- Integral Transforms. --- Engineering mathematics. --- Mathématiques --- Analyse harmonique --- Analyse fonctionnelle --- Mathématiques de l'ingénieur --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Operations Research --- Analysis (Mathematics) --- Functions, Potential --- Potential functions --- Approximation theory. --- Integral transforms. --- Operational calculus. --- Applied mathematics. --- Banach algebras --- Calculus --- Mathematical analysis --- Mathematics --- Bessel functions --- Fourier series --- Harmonic functions --- Time-series analysis --- Mathematical and Computational Engineering. --- Transform calculus --- Integral equations --- Transformations (Mathematics) --- Functional calculus --- Calculus of variations --- Functional equations --- Math --- Science --- Engineering --- Engineering analysis --- Operational calculus --- Differential equations --- Electric circuits --- Theory of approximation --- Functional analysis --- Functions --- Polynomials --- Chebyshev systems

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This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 – 2016. Containing cutting-edge results by an impressive array of mathematicians, engineers, and scientists in academia, industry and government, it will be an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, physics, and engineering. Topics covered include: Theoretical harmonic analysis Image and signal processing Quantization Algorithms and representations The February Fourier Talks are held annually at the Norbert Wiener Center for Harmonic Analysis and Applications. Located at the University of Maryland, College Park, the Norbert Wiener Center provides a state-of- the-art research venue for the broad emerging area of mathematical engineering.

Mathematics. --- Harmonic analysis. --- Approximation theory. --- Functional analysis. --- Integral transforms. --- Operational calculus. --- Applied mathematics. --- Engineering mathematics. --- Abstract Harmonic Analysis. --- Approximations and Expansions. --- Functional Analysis. --- Integral Transforms, Operational Calculus. --- Appl.Mathematics/Computational Methods of Engineering. --- Harmonic analysis --- Integral Transforms. --- Mathematical and Computational Engineering. --- Engineering --- Engineering analysis --- Mathematical analysis --- Transform calculus --- Integral equations --- Transformations (Mathematics) --- Functional calculus --- Calculus of variations --- Functional equations --- Math --- Science --- Analysis (Mathematics) --- Functions, Potential --- Potential functions --- Banach algebras --- Calculus --- Mathematics --- Bessel functions --- Fourier series --- Harmonic functions --- Time-series analysis --- Operational calculus --- Differential equations --- Electric circuits --- Theory of approximation --- Functional analysis --- Functions --- Polynomials --- Chebyshev systems