LEADER 09295nam 2201849 450 001 9910809083303321 005 20220317213920.0 010 $a1-4008-4893-8 024 7 $a10.1515/9781400848935 035 $a(CKB)2550000001165809 035 $a(EBL)1449977 035 $a(OCoLC)864382188 035 $a(SSID)ssj0001061954 035 $a(PQKBManifestationID)11666107 035 $a(PQKBTitleCode)TC0001061954 035 $a(PQKBWorkID)11109697 035 $a(PQKB)10143911 035 $a(MiAaPQ)EBC1449977 035 $a(StDuBDS)EDZ0001059531 035 $a(DE-B1597)453969 035 $a(OCoLC)979578018 035 $a(DE-B1597)9781400848935 035 $a(Au-PeEL)EBL1449977 035 $a(CaPaEBR)ebr10811819 035 $a(CaONFJC)MIL547272 035 $a(PPN)199244421 035 $a(EXLCZ)992550000001165809 100 $a20130709h20142014 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aAdvances in analysis $ethe legacy of Elias M. Stein /$fedited by Charles Fefferman, Alexandru D. Ionescu, D.H. Phong, and Stephen Wainger 205 $aCourse Book 210 1$aPrinceton, New Jersey :$cPrinceton University Press,$d[2014] 210 4$d©2014 215 $a1 online resource (479 p.) 225 1 $aPrinceton mathematical series ;$v50 300 $aDescription based upon print version of record. 311 $a0-691-15941-6 311 $a1-306-16021-9 320 $aIncludes bibliographical references and index. 327 $tFrontmatter --$tContents --$tPreface --$tChapter One. Selected Theorems by Eli Stein /$rFefferman, Charles --$tChapter Two. Eli's Impact: A Case Study /$rFefferman, Charles --$tChapter Three On Oscillatory Integral Operators in Higher Dimensions /$rBourgain, Jean --$tChapter Four. Hölder Regularity for Generalized Master Equations with Rough Kernels /$rCaffarelli, Luis / Silvestre, Luis --$tChapter Five. Extremizers of a Radon Transform Inequality /$rChrist, Michael --$tChapter Six. Should We Solve Plateau's Problem Again? /$rDavid, Guy --$tChapter Seven. Averages along Polynomial Sequences in Discrete Nilpotent Lie Groups: Singular Radon Transforms /$rIonescu, Alexandru D. / Magyar, Akos / Wainger, Stephen --$tChapter Eight. Internal DLA for Cylinders /$rJerison, David / Levine, Lionel / Sheffield, Scott --$tChapter Nine. The Energy Critical Wave Equation in 3D /$rKenig, Carlos --$tChapter Ten. On the Bounded L2 Curvature Conjecture /$rKlainerman, Sergiu --$tChapter Eleven. On Div-Curl for Higher Order /$rLanzani, Loredana / Raich, Andrew S. --$tChapter Twelve. Square Functions and Maximal Operators Associated with Radial Fourier Multipliers /$rLee, Sanghyuk / Rogers, Keith M. / Seeger, Andreas --$tChapter Thirteen. Problems of Harmonic Analysis Related to Finite-Type Hypersurfaces in R3, and Newton Polyhedra /$rMüller, Detlef --$tChapter Fourteen. Multi-Linear Multipliers Associated to Simplexes of Arbitrary Length /$rMuscalu, Camil / Tao, Terence / Thiele, Christoph --$tChapter Fifteen. Diagonal Estimates for Bergman Kernels in Monomial-Type Domains /$rNagel, Alexander / Pramanik, Malabika --$tChapter Sixteen. On the Singularities of the Pluricomplex Green's Function /$rPhong, D. H. / Sturm, Jacob --$tChapter Seventeen. Smoothness of Spectral Multipliers and Convolution Kernels in Nilpotent Gelfand Pairs /$rRicci, Fulvio --$tChapter Eighteen. On Eigenfunction Restriction Estimates and L4-Bounds for Compact Surfaces with Nonpositive Curvature /$rSogge, Christopher D. / Zelditch, Steve --$tList of Contributors --$tIndex 330 $a"Princeton University's Elias Stein was the first mathematician to see the profound interconnections that tie classical Fourier analysis to several complex variables and representation theory. His fundamental contributions include the Kunze-Stein phenomenon, the construction of new representations, the Stein interpolation theorem, the idea of a restriction theorem for the Fourier transform, and the theory of Hp Spaces in several variables. Through his great discoveries, through books that have set the highest standard for mathematical exposition, and through his influence on his many collaborators and students, Stein has changed mathematics. Drawing inspiration from Stein's contributions to harmonic analysis and related topics, this volume gathers papers from internationally renowned mathematicians, many of whom have been Stein's students. The book also includes expository papers on Stein's work and its influence.The contributors are Jean Bourgain, Luis Caffarelli, Michael Christ, Guy David, Charles Fefferman, Alexandru Ionescu, David Jerison, Carlos Kenig, Sergiu Klainerman, Loredana Lanzani, Sanghyuk Lee, Lionel Levine, Akos Magyar, Detlef Mu?ller, Camil Muscalu, Alexander Nagel, D. H. Phong, Malabika Pramanik, Andrew Raich, Fulvio Ricci, Keith Rogers, Andreas Seeger, Scott Sheffield, Luis Silvestre, Christopher Sogge, Jacob Sturm, Terence Tao, Christoph Thiele, Stephen Wainger, and Steven Zelditch"--$cProvided by publisher. 410 0$aPrinceton mathematical series ;$v50 606 $aMathematical analysis$vCongresses 610 $a3D. 610 $aAKNS systems. 610 $aAlmgren minimal sets. 610 $aBergman kernels. 610 $aBochner?Riesz operator. 610 $aBoltzmann equation. 610 $aCTRW. 610 $aEinstein equations. 610 $aEinstein-vacuum equations. 610 $aEli Stein. 610 $aElias Stein. 610 $aFourier analysis. 610 $aFourier restriction operators. 610 $aFourier restriction. 610 $aFourier series. 610 $aFourier transform. 610 $aGagliardo?Nirenberg inequality. 610 $aGaussian Free Field. 610 $aGeneral Relativity. 610 $aHele-Shaw flow. 610 $aHp Spaces. 610 $aKunze?Stein phenomenon. 610 $aLittlewood?Paley boundedness. 610 $aLittlewood?Paley bounds. 610 $aLittlewood?Paley theory. 610 $aNewton polyhedra. 610 $aPlateau's problem. 610 $aRadon transform inequality. 610 $aRadon transform. 610 $aRadon transforms. 610 $aReifenberg. 610 $aStein interpolation theorem. 610 $aSteiner symmetrization. 610 $aadmissible degree increment. 610 $aaffine group. 610 $aapplied mathematics. 610 $abounded L² curvature conjecture. 610 $aclassical Fourier analysis. 610 $acontinuous time random walks. 610 $aconvex hypersurfaces. 610 $acorrelated kernels. 610 $acritical points. 610 $adelicate Bessel. 610 $adifferential operators. 610 $adiv-curl. 610 $aendpoint estimates. 610 $aenergy critical nonlinear wave equation. 610 $aenergy critical wave equation. 610 $aevolution problems. 610 $aextremizers. 610 $afinite-type hypersurfaces. 610 $afluctuations. 610 $ageneral polynomial maps. 610 $ageneral polynomial sequences. 610 $ageometric quasilinear equation. 610 $aharmonic analysis. 610 $ahigher dimensions. 610 $ahigher order. 610 $aholder regularity. 610 $ainequalities. 610 $ainternal DLA. 610 $ainternal Diffusion-Limited Aggregation. 610 $alattice cylinder. 610 $amartingales. 610 $amathematician. 610 $amathematics. 610 $amaximal averages. 610 $amaximal operators. 610 $amodel monomial domain. 610 $amonomial-type domains. 610 $amulti-linear multipliers. 610 $anilpotent lie groups. 610 $anon-commutative nilpotent settings. 610 $aoscillatory integral operators. 610 $aoscillatory integrals. 610 $apartial differential equations. 610 $apolynomial sequences. 610 $apure mathematics. 610 $aquasilinear hyperbolic system. 610 $aradial Fourier multipliers. 610 $arepresentation theory. 610 $arough kernels. 610 $aselected theorems. 610 $asimplexes. 610 $asingular Radon transforms. 610 $asize minimization problems. 610 $asliding minimal sets. 610 $asoap films. 610 $asoliton resolution. 610 $asolitons. 610 $aspherical maximal function. 610 $aspherical measures. 610 $asquare functions. 610 $atri-linear operator. 615 0$aMathematical analysis 676 $a515 686 $aMAT034000$aMAT037000$aMAT031000$2bisacsh 700 $aFefferman$b Charles$0476528 701 $aStein$b Elias M.$f1931-2018$0770901 701 $aFefferman$b Charles$f1949-$0476528 701 $aIonescu$b Alexandru Dan$f1973-$01718474 701 $aPhong$b Duong H.$f1953-$01718475 701 $aWainger$b Stephen$f1936-$058714 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910809083303321 996 $aAdvances in analysis$94115474 997 $aUNINA