Leseprobe
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Advances in Analysis
Stephen Wainger, Charles Fefferman, D.H. Phong, et al.
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Naturwissenschaften, Medizin, Informatik, Technik / Analysis
Beschreibung
Princeton University's Elias Stein was the first mathematician to see the profound interconnections that tie classical Fourier analysis to several complex variables and representation theory. His fundamental contributions include the Kunze-Stein phenomenon, the construction of new representations, the Stein interpolation theorem, the idea of a restriction theorem for the Fourier transform, and the theory of Hp Spaces in several variables. Through his great discoveries, through books that have set the highest standard for mathematical exposition, and through his influence on his many collaborators and students, Stein has changed mathematics. Drawing inspiration from Stein’s contributions to harmonic analysis and related topics, this volume gathers papers from internationally renowned mathematicians, many of whom have been Stein’s students. The book also includes expository papers on Stein’s work and its influence.
The contributors are Jean Bourgain, Luis Caffarelli, Michael Christ, Guy David, Charles Fefferman, Alexandru D. Ionescu, David Jerison, Carlos Kenig, Sergiu Klainerman, Loredana Lanzani, Sanghyuk Lee, Lionel Levine, Akos Magyar, Detlef Müller, Camil Muscalu, Alexander Nagel, D. H. Phong, Malabika Pramanik, Andrew S. Raich, Fulvio Ricci, Keith M. Rogers, Andreas Seeger, Scott Sheffield, Luis Silvestre, Christopher D. Sogge, Jacob Sturm, Terence Tao, Christoph Thiele, Stephen Wainger, and Steven Zelditch.
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Polynomial sequence, Series expansion, Mathematics, Singular integral, Wave equation, Dimension, Fourier analysis, Fourier transform, Polyhedron, Derivative, Special case, Hyperbolic partial differential equation, Fundamental solution, Singular measure, Oscillatory integral, Upper and lower bounds, Green's function, Boundary value problem, Hausdorff measure, Vector field, Nonlinear system, Non-Euclidean geometry, Strichartz estimate, Einstein field equations, Convolution, Several complex variables, Integration by parts, Partial differential equation, Initial value problem, Linear map, Hypersurface, Parametrix, Representation theory, Sobolev space, Compact space, Harmonic analysis, Fourier operator, Maxima and minima, Sign (mathematics), Estimation, Gaussian curvature, Martingale (probability theory), Infimum and supremum, Equation, Parametrization, Maximal function, Theorem, Nilpotent group, Conjecture, Harmonic measure, Lipschitz continuity, Plateau's problem, Error term, Semi-continuity, Minkowski space, Disjoint union, Obstacle problem, Weak solution, Gelfand pair, Foliation, Summation, Analytic function, Codimension, Commutative property, Newtonian potential, Yang–Mills theory, Curvature, Riemann surface, Varifold, Central limit theorem