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Geometric Aspects of Functional Analysis

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Cover of 'Geometric Aspects of Functional Analysis'

Table of Contents

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    Book Overview
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    Chapter 1 On Repeated Sequential Closures of Constructible Functions in Valuations
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    Chapter 2 Orbit Point of View on Some Results of Asymptotic Theory; Orbit Type and Cotype
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    Chapter 3 Concentration Properties of Restricted Measures with Applications to Non-Lipschitz Functions
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    Chapter 4 On Random Walks in Large Compact Lie Groups
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    Chapter 5 On a Problem of Farrell and Vershynin in Random Matrix Theory
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    Chapter 6 Valuations on the Space of Quasi-Concave Functions
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    Chapter 7 An Inequality for Moments of Log-Concave Functions on Gaussian Random Vectors
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    Chapter 8 $$\boldsymbol{(s,p)}$$ -Valent Functions
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    Chapter 9 A Remark on Projections of the Rotated Cube to Complex Lines
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    Chapter 10 On the Expectation of Operator Norms of Random Matrices
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    Chapter 11 The Restricted Isometry Property of Subsampled Fourier Matrices
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    Chapter 12 Upper Bound for the Dvoretzky Dimension in Milman-Schechtman Theorem
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    Chapter 13 Super-Gaussian Directions of Random Vectors
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    Chapter 14 A Remark on Measures of Sections of $$\boldsymbol{L}_{p}$$ -balls
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    Chapter 15 Sharp Poincaré-Type Inequality for the Gaussian Measure on the Boundary of Convex Sets
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    Chapter 16 Rigidity of the Chain Rule and Nearly Submultiplicative Functions
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    Chapter 17 Royen's proof of the Gaussian correlation inequality
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    Chapter 18 A Simple Tool for Bounding the Deviation of Random Matrices on Geometric Sets
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    Chapter 19 On Multiplier Processes Under Weak Moment Assumptions
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    Chapter 20 Characterizing the Radial Sum for Star Bodies
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    Chapter 21 On Mimicking Rademacher Sums in Tail Spaces
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    Chapter 22 Stability for Borell-Brascamp-Lieb Inequalities
Attention for Chapter 8: $$\boldsymbol{(s,p)}$$ -Valent Functions
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Chapter title
$$\boldsymbol{(s,p)}$$ -Valent Functions
Chapter number 8
Book title
Geometric Aspects of Functional Analysis
Published by
Springer International Publishing, April 2017
DOI 10.1007/978-3-319-45282-1_8
Book ISBNs
978-3-31-945281-4, 978-3-31-945282-1
Authors

Omer Friedland, Yosef Yomdin

Editors

Bo'az Klartag, Emanuel Milman