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Analytical spaces --- 517.518.5 --- Theory of the Fourier integral --- Topological imbeddings. --- Isometrics (Mathematics) --- Metric spaces. --- Lp spaces. --- Isometrics (Mathematics). --- 517.518.5 Theory of the Fourier integral --- Topological imbeddings --- Metric spaces --- Lp spaces --- Isométrie (Mathématiques) --- Espaces Lp --- Espaces métriques --- Espaces fonctionnels --- Function spaces
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Fourier Analysis --- 517.518.5 --- 517.518.4 --- Fourier analysis --- Analysis, Fourier --- Mathematical analysis --- Theory of the Fourier integral --- Trigonometric series --- Fourier analysis. --- 517.518.4 Trigonometric series --- 517.518.5 Theory of the Fourier integral --- Harmonic analysis. Fourier analysis --- Fourier, Analyse de --- Analyse harmonique
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Fourier analysis. --- Harmonic analysis. Fourier analysis --- Fourier analysis --- Fourier, Analyse de --- 517.518.4 --- 517.518.5 --- 517.518.5 Theory of the Fourier integral --- Theory of the Fourier integral --- 517.518.4 Trigonometric series --- Trigonometric series --- Fourier Analysis --- Fourier, Analyse de. --- Fourier, Series de --- Series orthogonales. --- Fourier, Transformations de. --- Analyse de Fourier
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Fourier transformations --- Transformations de Fourier --- 517.518.4 --- 517.518.5 --- 517.52 --- DSP digitale signaalprocessoren --- FFT fast fourier transforms --- analyse --- convolutie --- correlaties --- elektronica --- elektrotechniek --- filters --- fourieranalyse --- fourierreeksen --- ontwerpen --- software --- wiskunde --- wiskunde voor technici --- FFT --- Fourier --- Wiskunde --- Transformations, Fourier --- Transforms, Fourier --- Fourier analysis --- Transformations (Mathematics) --- Trigonometric series --- Theory of the Fourier integral --- rijen en reeksen --- Fourier transformations. --- 517.518.5 Theory of the Fourier integral --- 517.518.4 Trigonometric series --- Fourier, Transformations de --- Analyse de fourier --- Fast fourier transform = fft
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Electronics --- Electricity --- Engineering --- Systems Analysis --- Discrete-time systems --- Signal processing --- Systèmes échantillonnés --- Traitement du signal --- 621.32 --- 517.518.4 --- 517.518.5 --- Processing, Signal --- Information measurement --- Signal theory (Telecommunication) --- DES (System analysis) --- Discrete event systems --- Sampled-data systems --- Digital control systems --- System analysis --- Linear time invariant systems --- Electric lamps --- Trigonometric series --- Theory of the Fourier integral --- Discrete-time systems. --- Signal processing. --- 517.518.5 Theory of the Fourier integral --- 517.518.4 Trigonometric series --- 621.32 Electric lamps --- Systèmes échantillonnés --- Engineering. --- Electricity. --- Systems Analysis. --- Discrete mathematics --- Analyse mathématique --- Mathematical analysis --- Télécommunications --- Mathematical analysis. --- Analyse mathématique --- Télécommunications --- Réseaux électriques (circuits)
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Fourier analysis. --- Analyse de Fourier --- Fourier Analysis. --- 519.246 --- 517.518 --- 517.518.4 --- 517.518.5 --- Statistics of stochastic processes. Estimation of stochastic processes. Hypothesis testing. Statistics of point processes. Time series analysis. Auto-correlation. Regression --- Metric theory of functions --- Trigonometric series --- Theory of the Fourier integral --- 517.518.5 Theory of the Fourier integral --- 517.518.4 Trigonometric series --- 517.518 Metric theory of functions --- 519.246 Statistics of stochastic processes. Estimation of stochastic processes. Hypothesis testing. Statistics of point processes. Time series analysis. Auto-correlation. Regression --- Fourier analysis --- Analysis, Fourier --- Mathematical analysis --- Fourier, Analyse de --- Fourier, Séries de
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Fourieranalyse --- Mathematical statistics --- 517.4 --- Differential invariants --- Functional determinants. Integral transforms. Operational calculus --- Fourier transformations. --- 517.4 Functional determinants. Integral transforms. Operational calculus --- Fourier transformations --- Harmonic analysis --- Transformations (Mathematics) --- #WPLT:dd.Prof.F.Symons --- #WSCH:FYS3 --- 517.518.4 --- 517.518.5 --- Algorithms --- Geometry, Differential --- Analysis (Mathematics) --- Functions, Potential --- Potential functions --- Banach algebras --- Calculus --- Mathematical analysis --- Mathematics --- Bessel functions --- Fourier series --- Harmonic functions --- Time-series analysis --- Transformations, Fourier --- Transforms, Fourier --- Fourier analysis --- 517.518.5 Theory of the Fourier integral --- Theory of the Fourier integral --- 517.518.4 Trigonometric series --- Trigonometric series --- Harmonic analysis. --- Transformations (Mathematics). --- Fourier, Analyse de --- Mathématiques de l'ingénieur --- Mathématiques de l'ingénieur --- Fourier, Transformations de
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Numerical approximation theory --- Spline theory --- Splines [Theorie des ] --- Splines [Theorie van de ] --- Approximation theory --- Wavelets (Mathematics) --- 517.518.5 --- 517.518.8 --- 519.6 --- 681.3*G12 --- 681.3*G12 Approximation: chebyshev; elementary function; least squares; linear approximation; minimax approximation and algorithms; nonlinear and rational approximation; spline and piecewise polynomial approximation (Numerical analysis) --- Approximation: chebyshev; elementary function; least squares; linear approximation; minimax approximation and algorithms; nonlinear and rational approximation; spline and piecewise polynomial approximation (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Computational mathematics. Numerical analysis. Computer programming --- 517.518.8 Approximation of functions by polynomials and their generalizations --- Approximation of functions by polynomials and their generalizations --- 517.518.5 Theory of the Fourier integral --- Theory of the Fourier integral --- Congresses --- Approximation theory - Congresses --- Spline theory - Congresses --- Wavelets (Mathematics) - Congresses --- Approximation et developpements --- Analyse de fourier --- Ondelettes
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This book contains the lectures presented at a conference held at Princeton University in May 1991 in honor of Elias M. Stein's sixtieth birthday. The lectures deal with Fourier analysis and its applications. The contributors to the volume are W. Beckner, A. Boggess, J. Bourgain, A. Carbery, M. Christ, R. R. Coifman, S. Dobyinsky, C. Fefferman, R. Fefferman, Y. Han, D. Jerison, P. W. Jones, C. Kenig, Y. Meyer, A. Nagel, D. H. Phong, J. Vance, S. Wainger, D. Watson, G. Weiss, V. Wickerhauser, and T. H. Wolff.The topics of the lectures are: conformally invariant inequalities, oscillatory integrals, analytic hypoellipticity, wavelets, the work of E. M. Stein, elliptic non-smooth PDE, nodal sets of eigenfunctions, removable sets for Sobolev spaces in the plane, nonlinear dispersive equations, bilinear operators and renormalization, holomorphic functions on wedges, singular Radon and related transforms, Hilbert transforms and maximal functions on curves, Besov and related function spaces on spaces of homogeneous type, and counterexamples with harmonic gradients in Euclidean space.Originally published in 1995.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Fourier analysis --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Operations Research --- Congresses --- Analysis, Fourier --- -Analysis, Fourier --- -Theory of the Fourier integral --- -517.518.5 Theory of the Fourier integral --- 517.518.5 --- 517.518.5 Theory of the Fourier integral --- Theory of the Fourier integral --- Mathematical analysis --- Analytic function. --- Banach fixed-point theorem. --- Bessel function. --- Blaschke product. --- Boundary value problem. --- Bounded operator. --- Cauchy–Riemann equations. --- Coefficient. --- Commutative property. --- Convolution. --- Degeneracy (mathematics). --- Differential equation. --- Differential geometry. --- Differential operator. --- Dirichlet problem. --- Distribution (mathematics). --- Eigenvalues and eigenvectors. --- Elias M. Stein. --- Elliptic integral. --- Elliptic operator. --- Equation. --- Ergodic theory. --- Error analysis (mathematics). --- Estimation. --- Existential quantification. --- Fourier analysis. --- Fourier integral operator. --- Fourier series. --- Fourier transform. --- Fundamental matrix (linear differential equation). --- Fundamental solution. --- Geometry. --- Green's function. --- Haar measure. --- Hardy space. --- Hardy–Littlewood maximal function. --- Harmonic analysis. --- Harmonic function. --- Harmonic measure. --- Hausdorff dimension. --- Heisenberg group. --- Hermitian matrix. --- Hilbert space. --- Hilbert transform. --- Holomorphic function. --- Hopf lemma. --- Hyperbolic partial differential equation. --- Integral geometry. --- Integral transform. --- Julia set. --- Korteweg–de Vries equation. --- Lagrangian (field theory). --- Lebesgue differentiation theorem. --- Lebesgue measure. --- Lie algebra. --- Linear map. --- Lipschitz continuity. --- Lipschitz domain. --- Mandelbrot set. --- Martingale (probability theory). --- Mathematical analysis. --- Maximal function. --- Measurable Riemann mapping theorem. --- Minkowski space. --- Misiurewicz point. --- Morera's theorem. --- Möbius transformation. --- Nilpotent group. --- Non-Euclidean geometry. --- Numerical analysis. --- Nyquist–Shannon sampling theorem. --- Ordinary differential equation. --- Orthonormal basis. --- Orthonormal frame. --- Oscillatory integral. --- Partial differential equation. --- Plurisubharmonic function. --- Pseudo-Riemannian manifold. --- Pseudo-differential operator. --- Pythagorean theorem. --- Radon transform. --- Regularity theorem. --- Representation theory. --- Riemannian manifold. --- Riesz representation theorem. --- Riesz transform. --- Schrödinger equation. --- Schwartz kernel theorem. --- Sign (mathematics). --- Simultaneous equations. --- Singular integral. --- Sobolev inequality. --- Sobolev space. --- Special case. --- Symmetrization. --- Theorem. --- Trigonometric series. --- Uniqueness theorem. --- Variable (mathematics). --- Variational inequality. --- Analyse harmonique
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Singular integrals are among the most interesting and important objects of study in analysis, one of the three main branches of mathematics. They deal with real and complex numbers and their functions. In this book, Princeton professor Elias Stein, a leading mathematical innovator as well as a gifted expositor, produced what has been called the most influential mathematics text in the last thirty-five years. One reason for its success as a text is its almost legendary presentation: Stein takes arcane material, previously understood only by specialists, and makes it accessible even to beginning graduate students. Readers have reflected that when you read this book, not only do you see that the greats of the past have done exciting work, but you also feel inspired that you can master the subject and contribute to it yourself. Singular integrals were known to only a few specialists when Stein's book was first published. Over time, however, the book has inspired a whole generation of researchers to apply its methods to a broad range of problems in many disciplines, including engineering, biology, and finance. Stein has received numerous awards for his research, including the Wolf Prize of Israel, the Steele Prize, and the National Medal of Science. He has published eight books with Princeton, including Real Analysis in 2005.
Functions of real variables. --- Harmonic analysis. --- Singular integrals. --- Multiplicateurs (analyse mathématique) --- Multipliers (Mathematical analysis) --- Functional analysis --- Harmonic analysis. Fourier analysis --- Functions of real variables --- Harmonic analysis --- Singular integrals --- Fonctions de variables réelles --- Analyse harmonique --- Intégrales singulières --- Fonctions de plusieurs variables réelles --- Calcul différentiel --- Functions of several real variables --- Differential calculus --- 517.518.5 --- Integrals, Singular --- Integral operators --- Integral transforms --- Analysis (Mathematics) --- Functions, Potential --- Potential functions --- Banach algebras --- Calculus --- Mathematical analysis --- Mathematics --- Bessel functions --- Fourier series --- Harmonic functions --- Time-series analysis --- Real variables --- Functions of complex variables --- 517.518.5 Theory of the Fourier integral --- Theory of the Fourier integral --- A priori estimate. --- Analytic function. --- Banach algebra. --- Banach space. --- Basis (linear algebra). --- Bessel function. --- Bessel potential. --- Big O notation. --- Borel measure. --- Boundary value problem. --- Bounded function. --- Bounded operator. --- Bounded set (topological vector space). --- Bounded variation. --- Boundedness. --- Cartesian product. --- Change of variables. --- Characteristic function (probability theory). --- Characterization (mathematics). --- Commutative property. --- Complex analysis. --- Complex number. --- Continuous function (set theory). --- Continuous function. --- Convolution. --- Derivative. --- Difference "ient. --- Difference set. --- Differentiable function. --- Dimension (vector space). --- Dimensional analysis. --- Dirac measure. --- Dirichlet problem. --- Distribution function. --- Division by zero. --- Dot product. --- Dual space. --- Equation. --- Existential quantification. --- Family of sets. --- Fatou's theorem. --- Finite difference. --- Fourier analysis. --- Fourier series. --- Fourier transform. --- Function space. --- Green's theorem. --- Harmonic function. --- Hilbert space. --- Hilbert transform. --- Homogeneous function. --- Infimum and supremum. --- Integral transform. --- Interpolation theorem. --- Interval (mathematics). --- Linear map. --- Lipschitz continuity. --- Lipschitz domain. --- Locally integrable function. --- Marcinkiewicz interpolation theorem. --- Mathematical induction. --- Maximal function. --- Maximum principle. --- Mean value theorem. --- Measure (mathematics). --- Modulus of continuity. --- Multiple integral. --- Open set. --- Order of integration. --- Orthogonality. --- Orthonormal basis. --- Partial derivative. --- Partial differential equation. --- Partition of unity. --- Periodic function. --- Plancherel theorem. --- Pointwise. --- Poisson kernel. --- Polynomial. --- Real variable. --- Rectangle. --- Riesz potential. --- Riesz transform. --- Scientific notation. --- Sign (mathematics). --- Singular integral. --- Sobolev space. --- Special case. --- Splitting lemma. --- Subsequence. --- Subset. --- Summation. --- Support (mathematics). --- Theorem. --- Theory. --- Total order. --- Unit vector. --- Variable (mathematics). --- Zero of a function.
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