Beijing Lectures in Harmonic Analysis. (AM-112), Volume 112 / / Elias M. Stein

• Pubblicazione: Princeton, NJ : , : Princeton University Press, , [2016]; ©1987
• Descrizione fisica: 1 online resource (436 pages) : illustrations
• Disciplina: 515/.2433
• Soggetto topico: Harmonic analysis
• Soggetto non controllato: Analytic function; Asymptotic formula; Bergman metric; Bernhard Riemann; Bessel function; Biholomorphism; Boundary value problem; Bounded mean oscillation; Bounded operator; Boundedness; Cauchy's integral formula; Characteristic function (probability theory); Characterization (mathematics); Coefficient; Commutator; Complexification (Lie group); Continuous function; Convolution; Degeneracy (mathematics); Differential equation; Differential operator; Dirac delta function; Dirichlet problem; Equation; Estimation; Existence theorem; Existential quantification; Explicit formula; Explicit formulae (L-function); Fatou's theorem; Fourier analysis; Fourier integral operator; Fourier transform; Fredholm theory; Fubini's theorem; Function (mathematics); Functional calculus; Fundamental solution; Gaussian curvature; Hardy space; Harmonic analysis; Harmonic function; Harmonic measure; Heisenberg group; Hilbert space; Hilbert transform; Hodge theory; Holomorphic function; Hyperbolic partial differential equation; Hölder's inequality; Infimum and supremum; Integration by parts; Interpolation theorem; Intersection (set theory); Invertible matrix; Isometry group; Laplace operator; Laplace's equation; Lebesgue measure; Linear map; Lipschitz continuity; Lipschitz domain; Lp space; Mathematical induction; Mathematical physics; Maximal function; Maximum principle; Measure (mathematics); Newtonian potential; Non-Euclidean geometry; Number theory; Operator theory; Oscillatory integral; Parameter; Partial derivative; Partial differential equation; Polynomial; Power series; Product metric; Radon–Nikodym theorem; Riemannian manifold; Riesz representation theorem; Scientific notation; Several complex variables; Sign (mathematics); Simultaneous equations; Singular function; Singular integral; Sobolev space; Square (algebra); Statistical hypothesis testing; Stokes' theorem; Support (mathematics); Tangent space; Tensor product; Theorem; Trigonometric series; Uniformization theorem; Variable (mathematics); Vector field
• Persona (resp. second.): SteinElias M.
• Note generali: Seven expository lectures, the basis for the Summer Symposium of Analysis in China, held at Peking University in Sept. 1984.
• Nota di bibliografia: Includes bibliographies and index.
• Nota di contenuto: Frontmatter -- TABLE OF CONTENTS -- PREFACE -- NON-LINEAR HARMONIC ANALYSIS, OPERATOR THEORY AND P.D.E. / Coifman, R. R. / Meyer, Yves -- MULTIPARAMETER FOURIER ANALYSIS / Fefferman, Robert -- ELLIPTIC BOUNDARY VALUE PROBLEMS ON LIPSCHITZ DOMAINS / Kenig, Carlos E. -- INTEGRAL FORMULAS IN COMPLEX ANALYSIS / Krantz, Steven G. -- VECTOR FIELDS AND NONISOTROPIC METRICS / Nagel, Alexander -- OSCILLATORY INTEGRALS IN FOURIER ANALYSIS / Stein, E. M. -- AVERAGES AND SINGULAR INTEGRALS OVER LOWER DIMENSIONAL SETS / Wainge, Stephen -- INDEX -- Backmatter
• Sommario/riassunto: Based on seven lecture series given by leading experts at a summer school at Peking University, in Beijing, in 1984. this book surveys recent developments in the areas of harmonic analysis most closely related to the theory of singular integrals, real-variable methods, and applications to several complex variables and partial differential equations. The different lecture series are closely interrelated; each contains a substantial amount of background material, as well as new results not previously published. The contributors to the volume are R. R. Coifman and Yves Meyer, Robert Fcfferman,Carlos K. Kenig, Steven G. Krantz, Alexander Nagel, E. M. Stein, and Stephen Wainger.
• Titolo autorizzato: Beijing Lectures in Harmonic Analysis. (AM-112), Volume 112
• ISBN: 1-4008-8209-5
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910154749103321
• Lo trovi qui: Univ. Federico II
• Serie: Annals of mathematics studies ; ; no. 112.