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Geometric Aspects of Harmonic Analysis

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Cover of 'Geometric Aspects of Harmonic Analysis'

Table of Contents

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    Book Overview
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    Chapter 1 An Extension Problem and Hardy Type Inequalities for the Grushin Operator
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    Chapter 2 Sharp Local Smoothing Estimates for Fourier Integral Operators
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    Chapter 3 On the Hardy–Littlewood Maximal Functions in High Dimensions: Continuous and Discrete Perspective
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    Chapter 4 Potential Spaces on Lie Groups
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    Chapter 5 On Fourier Restriction for Finite-Type Perturbations of the Hyperbolic Paraboloid
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    Chapter 6 On Young’s Convolution Inequality for Heisenberg Groups
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    Chapter 7 Young’s Inequality Sharpened
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    Chapter 8 Strongly Singular Integrals on Stratified Groups
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    Chapter 9 Singular Brascamp–Lieb: A Survey
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    Chapter 10 On the Restriction of Laplace–Beltrami Eigenfunctions and Cantor-Type Sets
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    Chapter 11 Basis Properties of the Haar System in Limiting Besov Spaces
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    Chapter 12 Obstacle Problems Generated by the Estimates of Square Function
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    Chapter 13 Of Commutators and Jacobians
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    Chapter 14 On Regularity and Irregularity of Certain Holomorphic Singular Integral Operators
Attention for Chapter 5: On Fourier Restriction for Finite-Type Perturbations of the Hyperbolic Paraboloid
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