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Ondetes (Matemàtica) --- Anàlisi per ondetes --- Tren d'ones (Matemàtica) --- Anàlisi harmònica --- Anàlisi de Fourier --- Wavelets (Mathematics) --- Mathematical analysis. --- 517.1 Mathematical analysis --- Mathematical analysis --- Wavelet analysis --- Harmonic analysis

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This monograph is part of a larger program, materializing in five volumes, whose principal aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings. Volume II is concerned with function spaces measuring size and/or smoothness, such as Hardy spaces, Besov spaces, Triebel-Lizorkin spaces, Sobolev spaces, Morrey spaces, Morrey-Campanato spaces, spaces of functions of Bounded Mean Oscillations, etc., in general geometric settings. Work here also highlights the close interplay between differentiability properties of functions and singular integral operators. The text is intended for researchers, graduate students, and industry professionals interested in harmonic analysis, functional analysis, geometric measure theory, and function space theory.

Mathematical analysis. --- Integral Transforms and Operational Calculus. --- Anàlisi harmònica --- 517.1 Mathematical analysis --- Mathematical analysis --- Àlgebres de Banach --- Càlcul --- Àlgebres de mesura --- Harmòniques esfèriques --- Ondetes (Matemàtica) --- Anàlisi de Fourier --- Anàlisi de sèries temporals --- Funcions de Bessel --- Mathematics. --- Math --- Science

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

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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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Teoria d'operadors --- Anàlisi harmònica --- Àlgebres de Banach --- Càlcul --- Àlgebres de mesura --- Harmòniques esfèriques --- Ondetes (Matemàtica) --- Anàlisi de Fourier --- Anàlisi de sèries temporals --- Funcions de Bessel --- Teoria dels operadors --- Anàlisi funcional --- Àlgebres d'operadors --- Equacions d'evolució no lineal --- Operadors diferencials --- Operadors integrals --- Operadors lineals --- Operadors no lineals --- Operadors pseudodiferencials --- Semigrups d'operadors --- Operator theory --- Harmonic analysis