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Sharp Inequalities in Probability and Harmonic Analysis

Offered By: Joint Mathematics Meetings via YouTube

Tags

Joint Mathematics Meetings Courses Probability Courses Inequality Courses Harmonic Analysis Courses Exponential Sums Courses

Course Description

Overview

Explore sharp inequalities in probability and harmonic analysis through this 59-minute AMS Invited Address given by Rodrigo BaƱuelos from Purdue University at the 2023 Joint Mathematics Meetings. Delve into motivations, isoparametric inequality, and the historical context of the problem, including contributions from David Hilbert and Mary Cartwright. Examine proofs involving discrete singular integrals and discover applications in stochastic integrals, exponential sums, operators on lattices, and numerical approximations. Gain insights into p-integrability and conjugate functions, and engage with thought-provoking questions in this comprehensive mathematical exploration.

Syllabus

Introduction
Motivations
Inequalities
Isoparametric Inequality
History of the Problem
Why conjugate
P integrable
P between 1 and infinity
David Hilbert
Mary Cartwright
Marshall
Proofs
Discrete Singular Integral
Sharp Inequalities
Applications
Stochastic Integrals
Exponential sums
Operators on lattice
Numerical approximations
Questions


Taught by

Joint Mathematics Meetings

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