Advances in analysis : the legacy of Elias M. Stein / / edited by Charles Fefferman, Alexandru D. Ionescu, D.H. Phong, and Stephen Wainger

• Autore: Fefferman Charles
• Pubblicazione: Princeton, New Jersey : , : Princeton University Press, , [2014]; ©2014
• Edizione: Course Book
• Descrizione fisica: 1 online resource (479 p.)
• Disciplina: 515
• Soggetto topico: Mathematical analysis
• Soggetto non controllato: 3D; AKNS systems; Almgren minimal sets; Bergman kernels; Bochner–Riesz operator; Boltzmann equation; CTRW; Einstein equations; Einstein-vacuum equations; Eli Stein; Elias Stein; Fourier analysis; Fourier restriction operators; Fourier restriction; Fourier series; Fourier transform; Gagliardo–Nirenberg inequality; Gaussian Free Field; General Relativity; Hele-Shaw flow; Hp Spaces; Kunze–Stein phenomenon; Littlewood–Paley boundedness; Littlewood–Paley bounds; Littlewood–Paley theory; Newton polyhedra; Plateau's problem; Radon transform inequality; Radon transform; Radon transforms; Reifenberg; Stein interpolation theorem; Steiner symmetrization; admissible degree increment; affine group; applied mathematics; bounded L² curvature conjecture; classical Fourier analysis; continuous time random walks; convex hypersurfaces; correlated kernels; critical points; delicate Bessel; differential operators; div-curl; endpoint estimates; energy critical nonlinear wave equation; energy critical wave equation; evolution problems; extremizers; finite-type hypersurfaces; fluctuations; general polynomial maps; general polynomial sequences; geometric quasilinear equation; harmonic analysis; higher dimensions; higher order; holder regularity; inequalities; internal DLA; internal Diffusion-Limited Aggregation; lattice cylinder; martingales; mathematician; mathematics; maximal averages; maximal operators; model monomial domain; monomial-type domains; multi-linear multipliers; nilpotent lie groups; non-commutative nilpotent settings; oscillatory integral operators; oscillatory integrals; partial differential equations; polynomial sequences; pure mathematics; quasilinear hyperbolic system; radial Fourier multipliers; representation theory; rough kernels; selected theorems; simplexes; singular Radon transforms; size minimization problems; sliding minimal sets; soap films; soliton resolution; solitons; spherical maximal function; spherical measures; square functions; tri-linear operator
• Classificazione: MAT034000MAT037000MAT031000
• Altri autori: SteinElias M. <1931-2018> FeffermanCharles <1949-> IonescuAlexandru Dan <1973-> PhongDuong H. <1953-> WaingerStephen <1936->
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Frontmatter -- Contents -- Preface -- Chapter One. Selected Theorems by Eli Stein / Fefferman, Charles -- Chapter Two. Eli's Impact: A Case Study / Fefferman, Charles -- Chapter Three On Oscillatory Integral Operators in Higher Dimensions / Bourgain, Jean -- Chapter Four. Hölder Regularity for Generalized Master Equations with Rough Kernels / Caffarelli, Luis / Silvestre, Luis -- Chapter Five. Extremizers of a Radon Transform Inequality / Christ, Michael -- Chapter Six. Should We Solve Plateau's Problem Again? / David, Guy -- Chapter Seven. Averages along Polynomial Sequences in Discrete Nilpotent Lie Groups: Singular Radon Transforms / Ionescu, Alexandru D. / Magyar, Akos / Wainger, Stephen -- Chapter Eight. Internal DLA for Cylinders / Jerison, David / Levine, Lionel / Sheffield, Scott -- Chapter Nine. The Energy Critical Wave Equation in 3D / Kenig, Carlos -- Chapter Ten. On the Bounded L2 Curvature Conjecture / Klainerman, Sergiu -- Chapter Eleven. On Div-Curl for Higher Order / Lanzani, Loredana / Raich, Andrew S. -- Chapter Twelve. Square Functions and Maximal Operators Associated with Radial Fourier Multipliers / Lee, Sanghyuk / Rogers, Keith M. / Seeger, Andreas -- Chapter Thirteen. Problems of Harmonic Analysis Related to Finite-Type Hypersurfaces in R3, and Newton Polyhedra / Müller, Detlef -- Chapter Fourteen. Multi-Linear Multipliers Associated to Simplexes of Arbitrary Length / Muscalu, Camil / Tao, Terence / Thiele, Christoph -- Chapter Fifteen. Diagonal Estimates for Bergman Kernels in Monomial-Type Domains / Nagel, Alexander / Pramanik, Malabika -- Chapter Sixteen. On the Singularities of the Pluricomplex Green's Function / Phong, D. H. / Sturm, Jacob -- Chapter Seventeen. Smoothness of Spectral Multipliers and Convolution Kernels in Nilpotent Gelfand Pairs / Ricci, Fulvio -- Chapter Eighteen. On Eigenfunction Restriction Estimates and L4-Bounds for Compact Surfaces with Nonpositive Curvature / Sogge, Christopher D. / Zelditch, Steve -- List of Contributors -- Index
• Sommario/riassunto: "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 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 Raich, Fulvio Ricci, Keith Rogers, Andreas Seeger, Scott Sheffield, Luis Silvestre, Christopher Sogge, Jacob Sturm, Terence Tao, Christoph Thiele, Stephen Wainger, and Steven Zelditch"--
• Titolo autorizzato: Advances in analysis
• ISBN: 1-4008-4893-8
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910790854903321
• Lo trovi qui: Univ. Federico II
• Serie: Princeton mathematical series ; ; 50