Geometric aspects of functional analysis : Israel Seminar (GAFA) 2017-2019.: Israel Seminar (GAFA) 2017-2019. Volume I (2020)

• Record Type: Book
• Other Titles: GAFA
• Further Information: Note: Edited by Bo'az Klartag, Emanuel Milman.
• Other Names: Milman, Emanuel, 1977-; Klartag, Bo'az; Israel Seminar on Geometrical Aspects of Functional Analysis
• Contents: Intro -- Preface -- Jean Bourgain: In Memoriam -- Contents Overview for Volume II -- Contents -- 1 Gromov's Waist of Non-radial Gaussian Measures and Radial Non-Gaussian Measures -- 1.1 Introduction -- 1.2 Nonradial Gaussian Measures: Proof of Theorem 1.1.1 -- 1.3 Existence of Waist Theorems for Some Radial Measures -- 1.4 Waist for Radial Measures and Odd Maps -- 1.5 Neighborhoods of Critical Submanifolds -- 1.5.1 Neighborhoods of Submanifolds in the Euclidean Space -- 1.5.2 Neighborhoods in the Sphere and the Complex Projective Space -- 1.6 Appendix: Explanation of the Caffarelli Theorem 1.7 Appendix: Explanation of the Pancake Decomposition -- 1.7.1 General Version of the Equipartition Argument -- 1.7.2 Modification of the Equipartition Argument for the Spherical Waist Theorem -- 1.7.3 Simplified Version of the Equipartition Argument -- 1.7.4 Proof that the Parts Are Pancakes -- References -- 2 Zhang's Inequality for Log-Concave Functions -- 2.1 Introduction -- 2.2 Notation and Preliminaries -- 2.3 Proof of the Inequality in Theorem 2.1.1 -- 2.4 Characterization of the Equality in Theorem 2.1.1 -- References -- 3 Bobkov's Inequality via Optimal Control Theory 3.1 Bobkov's Inequality -- 3.2 Bellman Principle -- 3.3 The Proof -- 3.3.1 Hamilton-Jacobi-Bellman PDE -- 3.3.2 Deriving Bobkov's Inequality -- 3.3.3 Optimizers -- References -- 4 Arithmetic Progressions in the Trace of Brownian Motionin Space -- 4.1 Introduction -- 4.2 Proofs -- Reference -- 5 Edgeworth Corrections in Randomized Central Limit Theorems -- 5.1 Introduction -- 5.2 Construction of Asymptotic Expansions -- 5.3 Moments and Deviations of Lyapunov Coefficients -- 5.4 Upper Bounds on Characteristic Functions -- 5.5 Proof of Theorem 5.1.1 -- 5.6 General Lower Bounds 5.7 Approximation by Mean Characteristic Functions -- 5.8 Proof of Theorem 5.1.2 -- References -- 6 Three Applications of the Siegel Mass Formula -- 6.1 Background on the Siegel Mass Formula -- 6.2 Uneven Parsell-Vinogradov Sums -- 6.3 Non-congruent Tetrahedra in the Truncated Lattice [0, q]3Z3 -- 6.4 Distribution of Lattice Points on Caps -- References -- 7 Decouplings for Real Analytic Surfaces of Revolution -- 7.1 Background and the Main Result -- 7.2 A Case Analysis Based on Principal Curvatures -- 7.3 The Case of the Quasi-Torus -- 7.4 The Perturbed Cone -- 7.5 Final Remarks -- References 8 On Discrete Hardy-Littlewood Maximal Functions over the Balls in Zd: Dimension-Free Estimates -- 8.1 Introduction -- 8.1.1 Motivations and Statement of the Results -- 8.1.2 The Large-Scale Case -- 8.1.3 The Intermediate-Scale Case -- 8.1.4 The Small-Scale Case -- 8.1.5 Notation -- 8.2 Estimates for the Dyadic Maximal Function: Intermediate Scales -- 8.2.1 Some Preparatory Estimates -- 8.2.2 Analysis on Permutation Groups -- 8.2.3 A Decrease Dimension Trick -- 8.2.4 All Together -- 8.3 Estimates for the Dyadic Maximal Function: Small Scales -- 8.3.1 Some Preparatory Estimates
• Publisher Details: Cham : Springer
• Publication Date: 2020
• Extent: 1 online resource (346 p.)
• Subjects: 515.7; Functional analysis -- Congresses; Functional differential equations -- Asymptotic theory -- Congresses; Electronic books
• Languages: English
• ISBNs: 9783030360207; 3030360202
• Related ISBNs: 9783030360191
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.