Geometric aspects of functional analysis : Israel Seminar 20062010
 Responsibility
 Bo'az Klartag, Shahar Mendelson, Vitali D. Milman, editors.
 Language
 English.
 Imprint
 Berlin : Springer, c2012.
 Physical description
 viii, 449 p. : ill ; 24 cm.
 Series
 Lecture notes in mathematics ; 2050.
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Creators/Contributors
Contents/Summary
 Contents

 The alphaCosine 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 PoissonType Summation Formula. Stability of Order Preserving Transforms. On the Distribution of the 2Norm of Linear Functionals on Isotropic Convex Bodies. A Remark on Vertex Index of the Convex Bodies. Inner Regularization of LogConcave Measures and SmallBall Estimates. An Operator Equation Generalizing the Leibniz Rule for the Second Derivative. Moments of Unconditional Logarithmically Concave Vectors. Projections of Probability Distributions: A MeasureTheoretic Dvoretzky Theorem. On a LoomisWhitney Type Inequality for Permutationally Invariant Unconditional Convex Bodies. The Hormander Proof of the BourgainMilman Theorem. On Some Extension of Feige's Inequality. On the Mean Width of LogConcave. Approximate Gaussian Isoperimetry for k Sets. Remark on Stability of BrunnMinkowski and Isoperimetric Inequalities for Convex Bodies. On Contact Points of Convex Bodies.
 (source: Nielsen Book Data)
 Publisher's Summary
 This 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, logarithmicallyconcave measures, valuation theory, probabilistic and isoperimetric problems in the combinatorial setting, volume distribution on highdimensional 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.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2012
 Series
 Lecture notes in mathematics ; 2050, 00758434
 ISBN
 9783642298486
 3642298486