Leseprobe
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Essays on Fourier Analysis in Honor of Elias M. Stein (PMS-42)
Stephen Wainger (Hrsg.), Robert Fefferman (Hrsg.), Charles Fefferman (Hrsg.)
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Naturwissenschaften, Medizin, Informatik, Technik / Mathematik
Beschreibung
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.
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Lagrangian (field theory), Theorem, Sign (mathematics), Hardy–Littlewood maximal function, Schwartz kernel theorem, Simultaneous equations, Equation, Riesz transform, Harmonic measure, Nilpotent group, Orthonormal frame, Mandelbrot set, Estimation, Misiurewicz point, Ordinary differential equation, Fundamental solution, Riemannian manifold, Differential operator, Fundamental matrix (linear differential equation), Measurable Riemann mapping theorem, Singular integral, Martingale (probability theory), Harmonic function, Pseudo-Riemannian manifold, Hyperbolic partial differential equation, Pythagorean theorem, Heisenberg group, Degeneracy (mathematics), Schrödinger equation, Elias M. Stein, Lipschitz domain, Sobolev space, Boundary value problem, Sobolev inequality, Lie algebra, Trigonometric series, Partial differential equation, Cauchy–Riemann equations, Maximal function, Hilbert space, Hopf lemma, Lebesgue differentiation theorem, Fourier series, Hausdorff dimension, Commutative property, Analytic function, Pseudo-differential operator, Distribution (mathematics), Orthonormal basis, Morera's theorem, Hermitian matrix, Oscillatory integral, Riesz representation theorem, Elliptic operator, Harmonic analysis, Holomorphic function, Dirichlet problem, Korteweg–de Vries equation, Lipschitz continuity, Banach fixed-point theorem, Variable (mathematics), Bessel function, Blaschke product, Fourier integral operator, Radon transform, Coefficient, Differential equation, Fourier analysis, Hilbert transform, Lebesgue measure