Discrete Harmonic Analysis Courses and Certifications

International Centre for Theoretical Sciences

Endpoint Eigenfunction Bounds for the Hermite Operator by Sanghyuk Lee

Explore endpoint eigenfunction bounds for the Hermite operator, delving into advanced harmonic analysis concepts and recent developments in mathematical research.

• YouTube
• 1 hour 55 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Global Maximizers for Spherical Restriction by Diogo Oliveira e Silva

Explore global maximizers for spherical restriction in harmonic analysis. Gain insights into recent developments and techniques in this cutting-edge mathematical field.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Estimates for Bochner-Riesz Means at the Critical Index by David Beltran

Explore advanced harmonic analysis techniques, focusing on Bochner-Riesz means estimates at the critical index. Gain insights into cutting-edge research and applications in this specialized mathematical field.

• YouTube
• 1 hour 52 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Modern Trends in Harmonic Analysis

Explore cutting-edge developments in harmonic analysis, focusing on polynomial methods and discrete harmonic analysis. Gain insights from expert lectures and research talks on recent breakthroughs and future prospects.

• YouTube
• 1 hour 52 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Modern Trends in Harmonic Analysis

Explore cutting-edge developments in harmonic analysis, focusing on polynomial methods and discrete analysis. Gain insights from expert lectures and research talks on sharp restriction estimates, quadrature rules, and more.

• YouTube
• 1 hour 40 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

New Characterizations of Sobolev Spaces by Po Lam Yung

Explores novel approaches to characterizing Sobolev spaces, advancing understanding in functional analysis and partial differential equations. Presents cutting-edge research in harmonic analysis.

• YouTube
• 2 hours 7 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Global Solutions with Asymptotic Self-Similar Behaviour for the Cubic Wave by Giuseppe Negro

Explore asymptotic self-similar behavior in global solutions for cubic wave equations. Delve into advanced harmonic analysis techniques and their applications in mathematical physics.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Pointwise Ergodic Theorems for Non-Conventional Polynomial Averages by Benjamin Krause

Explore advanced ergodic theory with a focus on non-conventional polynomial averages, delving into pointwise convergence theorems and their applications in harmonic analysis.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Discussion of Montgomery's Large Value Problem by Larry Guth

Exploration of Montgomery's Large Value Problem, delving into advanced harmonic analysis concepts and recent developments in the field of mathematics.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Quadrature Rules on Manifolds - Partitions by Giacomo Gigante

Explore advanced quadrature techniques for manifolds, focusing on partition methods. Gain insights into cutting-edge harmonic analysis research and its applications in mathematical problem-solving.

• YouTube
• 54 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Points and Distances by Malabika Pramanik

Explore geometric relationships between points and distances in harmonic analysis. Discover recent developments in Fourier restriction, polynomial methods, and discrete analysis techniques.

• YouTube
• 1 hour 18 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Maximal Functions Associated to Families of Curves in the Plane by Joshua Zahl

Explore maximal functions related to curve families in the plane, delving into harmonic analysis techniques and recent developments in this mathematical field.

• YouTube
• 1 hour 20 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Regularized Inverse Brascamp-Lieb Inequalities

Explores advanced mathematical concepts in harmonic analysis, focusing on regularized inverse Brascamp-Lieb inequalities. Offers insights into cutting-edge research and applications in theoretical mathematics.

• YouTube
• 1 hour 36 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Exponentials Rarely Maximize Fourier Adjoint Restriction Estimates on Cones by Giuseppe Negro

Explore Fourier adjoint restriction estimates on cones, focusing on the rarity of exponential maximizers. Gain insights into advanced harmonic analysis techniques and their applications.

• YouTube
• 46 minutes
• On-Demand
• Free Online Course