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Harmonic analysis. Fourier analysis --- Wavelets (Mathematics) --- Wavelets (Mathematics). --- Harmonic analysis --- Ondelettes --- Analyse harmonique (mathématiques) --- Ondelettes.

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Harmonic analysis. --- Geometry, Differential. --- Analyse harmonique --- Géométrie différentielle

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Numerical approximation theory --- Littlewood-Paley theory --- Microlocal analysis --- Signal processing --- Wavelets (Mathematics) --- Wavelet analysis --- Harmonic analysis --- Functional analysis --- Fourier analysis --- Functions of several real variables --- Mathematics --- Analyse de fourier --- Ondelettes --- Traitement du signal

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This book provides a comprehensive presentation of geometric results, primarily from the theory of convex sets, that have been proved by the use of Fourier series or spherical harmonics. An important feature of the book is that all necessary tools from the classical theory of spherical harmonics are presented with full proofs. These tools are used to prove geometric inequalities, stability results, uniqueness results for projections and intersections by hyperplanes or half-spaces and characterisations of rotors in convex polytopes. Again, full proofs are given. To make the treatment as self-contained as possible the book begins with background material in analysis and the geometry of convex sets. This treatise will be welcomed both as an introduction to the subject and as a reference book for pure and applied mathematics.

Convex sets. --- Fourier series. --- Spherical harmonics. --- Functions, Potential --- Potential functions --- Harmonic analysis --- Harmonic functions --- Fourier integrals --- Series, Fourier --- Series, Trigonometric --- Trigonometric series --- Calculus --- Fourier analysis --- Sets, Convex --- Convex domains --- Set theory

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Programming --- Mathematical statistics --- Analyse chronologique (Statistique) --- Analyse de séries chronologiques --- Analyse en série chronologique --- Analysis of time series --- Chroniques (Statistique) --- Chroniques [Statistique des ] --- Série chronologique --- Série temporelle --- Séries chronologiques --- Séries chronologiques [Analyse des ] --- Séries temporelles --- Tijdreeksenanalyse --- Time-series analysis --- #WWIS:didaktiek --- 519.55 --- Autocorrelation (Statistics) --- Harmonic analysis --- Probabilities --- Time-series analysis. --- Série chronologique --- Économétrie --- Analyse des séries temporelles