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

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Càlcul --- Càlcul infinitesimal --- Límits (Matemàtica) --- Aritmètica --- Anàlisi harmònica --- Anàlisi p-àdica --- Càlcul diferencial --- Càlcul fraccional --- Càlcul mental --- Corbes --- Curvatura --- Equacions diferencials --- Sèries de Fourier --- Superfícies (Matemàtica) --- Teories no lineals --- Anàlisi matemàtica --- Concepte de nombre --- Funcions --- Geometria infinitesimal --- Mètode ABN --- Numeració

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Over the course of his distinguished career, Robert Strichartz (1943-2021) had a substantial impact on the field of analysis with his deep, original results in classical harmonic, functional, and spectral analysis, and in the newly developed analysis on fractals. This is the first volume of a tribute to his work and legacy, featuring chapters that reflect his mathematical interests, written by his colleagues and friends. An introductory chapter summarizes his broad and varied mathematical work and highlights his profound contributions as a mathematical mentor. The remaining articles are grouped into three sections – functional and harmonic analysis on Euclidean spaces, analysis on manifolds, and analysis on fractals – and explore Strichartz’ contributions to these areas, as well as some of the latest developments.

Functional analysis. --- Harmonic analysis. --- Probabilities. --- Measure theory. --- Differential equations. --- Functional Analysis. --- Abstract Harmonic Analysis. --- Probability Theory. --- Measure and Integration. --- Differential Equations. --- Anàlisi matemàtica --- Anàlisi harmònica --- Anàlisi funcional --- Teoria espectral (Matemàtica) --- Fractals

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Over the course of a scientific career spanning more than fifty years, Alex Grossmann (1930-2019) made many important contributions to a wide range of areas including, among others, mathematics, numerical analysis, physics, genetics, and biology. His lasting influence can be seen not only in his research and numerous publications, but also through the relationships he cultivated with his collaborators and students. This edited volume features chapters written by some of these colleagues, as well as researchers whom Grossmann’s work and way of thinking has impacted in a decisive way. Reflecting the diversity of his interests and their interdisciplinary nature, these chapters explore a variety of current topics in quantum mechanics, elementary particles, and theoretical physics; wavelets and mathematical analysis; and genomics and biology. A scientific biography of Grossmann, along with a more personal biography written by his son, serve as an introduction. Also included are the introduction to his PhD thesis and an unpublished paper coauthored by him. Researchers working in any of the fields listed above will find this volume to be an insightful and informative work.

Functional analysis. --- Harmonic analysis. --- Signal processing. --- Mathematical physics. --- Genetics. --- Functional Analysis. --- Abstract Harmonic Analysis. --- Digital and Analog Signal Processing. --- Mathematical Physics. --- Mathematical Methods in Physics. --- Genetics and Genomics. --- Physics --- Science --- Física --- Anàlisi harmònica --- Ondetes (Matemàtica) --- Genòmica

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This third volume of Analysis in Banach Spaces offers a systematic treatment of Banach space-valued singular integrals, Fourier transforms, and function spaces. It further develops and ramifies the theory of functional calculus from Volume II and describes applications of these new notions and tools to the problem of maximal regularity of evolution equations. The exposition provides a unified treatment of a large body of results, much of which has previously only been available in the form of research papers. Some of the more classical topics are presented in a novel way using modern techniques amenable to a vector-valued treatment. Thanks to its accessible style with complete and detailed proofs, this book will be an invaluable reference for researchers interested in functional analysis, harmonic analysis, and the operator-theoretic approach to deterministic and stochastic evolution equations.

Functional analysis. --- Fourier analysis. --- Harmonic analysis. --- Operator theory. --- Mathematical analysis. --- Functional Analysis. --- Fourier Analysis. --- Abstract Harmonic Analysis. --- Operator Theory. --- Analysis. --- Anàlisi harmònica --- Teoria d'operadors --- Anàlisi de Fourier --- Anàlisi matemàtica --- Anàlisi funcional --- Espais de Banach