LEADER 04436nam 2200589Ia 450 001 9910482991103321 005 20200520144314.0 010 $a3-642-29849-4 024 7 $a10.1007/978-3-642-29849-3 035 $a(CKB)3400000000085872 035 $a(SSID)ssj0000745970 035 $a(PQKBManifestationID)11434890 035 $a(PQKBTitleCode)TC0000745970 035 $a(PQKBWorkID)10860435 035 $a(PQKB)10108670 035 $a(DE-He213)978-3-642-29849-3 035 $a(MiAaPQ)EBC3070397 035 $a(PPN)165093927 035 $a(EXLCZ)993400000000085872 100 $a20120809d2012 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aGeometric aspects of functional analysis $eIsrael Seminar 2006-2010 /$fBo'az Klartag, Shahar Mendelson, Vitali D. Milman, editors 205 $a1st ed. 2012. 210 $aBerlin ;$aHeidelberg $cSpringer$dc2012 215 $a1 online resource (VIII, 449 p. 3 illus.) 225 1 $aLecture notes in mathematics,$x0075-8434 ;$v2050 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-642-29848-6 320 $aIncludes bibliographical references. 327 $aThe ?-Cosine Transform and Intertwining Integrals on Real Grassmannians -- On Modules Over Valuations -- On Multiplicative Maps of Continuous and Smooth Functions -- Order Isomorphisms on Convex Functions in Windows -- Finite Transitive Graph Embeddings into a Hyperbolic -- Metric Space Must Stretch or Squeeze -- Tightness of Fluctuations of First Passage Percolation on Some Large Graphs -- Finitely Supported Measures on SL2(R) which are Absolutely Continuous at Infinity -- Interpolations, Convexity and Geometric Inequalities -- Hypercontractive Measures, Talagrand's Inequality, and Inuences -- A Family of Unitary Operators Satisfying a Poisson-Type Summation Formula -- Stability of Order Preserving Transforms -- On the Distribution of the 2-Norm of Linear Functionals on Isotropic Convex Bodies -- A Remark on Vertex Index of the Convex Bodies -- Inner Regularization of Log-Concave Measures and Small-Ball Estimates -- An Operator Equation Generalizing the Leibniz Rule for the Second Derivative -- Moments of Unconditional Logarithmically Concave Vectors -- Projections of Probability Distributions: A Measure-Theoretic Dvoretzky Theorem -- On a Loomis-Whitney Type Inequality for Permutationally Invariant Unconditional Convex Bodies -- The Hörmander Proof of the Bourgain-Milman Theorem -- On Some Extension of Feige's Inequality -- On the Mean Width of Log-Concave -- Approximate Gaussian Isoperimetry for k Sets -- Remark on Stability of Brunn-Minkowski and Isoperimetric Inequalities for Convex Bodies -- On Contact Points of Convex Bodies. 330 $aThis collection of original papers related to the Israeli GAFA seminar (on Geometric Aspects of Functional Analysis) from the years 2006 to 2011 continues the long tradition of the previous volumes, which reflect the general trends of Asymptotic Geometric Analysis, understood in a broad sense, and are a source of inspiration for new research. Most of the papers deal with various aspects of the theory, including classical topics in the geometry of convex bodies, inequalities involving volumes of such bodies or more generally, logarithmically-concave measures, valuation theory, probabilistic and isoperimetric problems in the combinatorial setting, volume distribution on high-dimensional spaces and characterization of classical constructions in Geometry and Analysis (like the Legendre and Fourier transforms, derivation and others). All the papers here are original research papers. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v2050. 606 $aFunctional analysis$vCongresses 606 $aFunctional differential equations$xAsymptotic theory$vCongresses 615 0$aFunctional analysis 615 0$aFunctional differential equations$xAsymptotic theory 676 $a515.7 701 $aKlartag$b Bo'az$f1978-$0477682 701 $aMendelson$b Shahar$0732263 701 $aMilman$b Vitali D.$f1939-$056003 712 12$aIsrael Seminar on Geometrical Aspects of Functional Analysis 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910482991103321 996 $aGeometric aspects of functional analysis$94198187 997 $aUNINA