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Book
Embeddings and extensions in analysis
Authors: ---
ISBN: 3540070672 0387070672 3642660398 3642660371 9780387070674 Year: 1975 Volume: 84 Publisher: Berlin Heidelberg New York : Springer,

A handbook of Fourier theorems
Author:
ISBN: 0521265037 0521366887 9780521366885 9780521265034 Year: 1987 Publisher: Cambridge : Cambridge University Press,


Book
Fourier analysis
Author:
ISBN: 0521251206 0521389917 9780521251204 9780521389914 Year: 1989 Publisher: Cambridge : Cambridge University Press,

The fast Fourier transform and its applications
Author:
ISBN: 0133075052 0133075478 9780133075052 Year: 1988 Publisher: Englewood Cliffs, NJ : Prentice-Hall International,

Approximation theory, wavelets and applications : [proceedings of the NATO advanced study institute, Maratea, Italy, May 16-26, 1994]
Authors: --- --- ---
ISBN: 0792333349 9780792333340 9048145163 9401585776 Year: 1995 Volume: 454 Publisher: Dordrecht : Kluwer academic publishers,


Book
Essays on Fourier Analysis in Honor of Elias M. Stein (PMS-42)
Authors: --- ---
ISBN: 0691632944 1400852943 0691086559 1306988802 0691603650 9781400852949 9780691603650 9780691632940 Year: 2014 Publisher: Princeton, NJ : Princeton University Press,

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Abstract

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.

Keywords

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

Singular integrals and differentiability properties of functions
Author:
ISBN: 0691080798 1400883881 9780691080796 Year: 1970 Volume: 30 Publisher: Princeton : Princeton University Press,

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Abstract

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.

Keywords

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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