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Mathematics
Harmonic Analysis

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Harmonic Analysis Courses and Certifications

Explore the foundations and modern developments of harmonic analysis, including Fourier techniques, Calderón-Zygmund theory, and quantum harmonic analysis. Learn from leading mathematicians on YouTube and Coursera, with applications spanning pure mathematics, signal processing, and even music theory.

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Erwin Schrödinger International Institute for Mathematics and Physics (ESI)
Approximation Properties and Characterization of Operator Coorbit Spaces

Delve into approximation properties and characterization of operator coorbit spaces in this quantum harmonic analysis workshop presentation by Lukas Köhldorfer.
- YouTube
- 52 minutes
- On-Demand
- Free Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)
Compact Operators on Locally Compact Abelian Groups

Explore the mathematical theory of compact operators on locally compact abelian groups in this advanced workshop presentation from the Quantum Harmonic Analysis event.
- YouTube
- 29 minutes
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- Free Video
BIMSA
Optimal Distribution Estimates for Commutators and Marcinkiewicz Multipliers

Discover optimal distribution estimates for commutators and Marcinkiewicz multipliers in this advanced mathematical analysis presented by Fedor Sukochev from UNSW.
- YouTube
- 49 minutes
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Institute for Advanced Study
Unlikely Intersections in the Irregular-singular Context

Explore unlikely intersections through orthogonal polynomials and harmonic analysis, connecting algebraic geometry with differential Galois theory in irregular-singular systems.
- YouTube
- 1 hour 7 minutes
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- Free Video
Centre de recherches mathématiques - CRM
Restriction Theory and Projection Theorems - Lecture 2

Explore the connections between restriction theory and projection theorems, examining Fourier transforms on curved manifolds and Hausdorff dimensions of fractal sets under orthogonal projections.
- YouTube
- 57 minutes
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- Free Video
BIMSA
Carleson's ε²-Conjecture, Faber-Krahn Inequalities, and Rectifiability

Explore Carleson's ε²-conjecture and its connections to Faber-Krahn inequalities and rectifiability in this advanced mathematical analysis lecture by Xavier Tolsa.
- YouTube
- 1 hour
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- Free Video
Hausdorff Center for Mathematics
Signal Recovery, Restriction Theory, and Applications - Lecture 4

Explore signal recovery techniques using Fourier transforms and restriction theory. Delve into improved recovery conditions for multiple transmissions and continuous aspects of the problem.
- YouTube
- 58 minutes
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Institute for Advanced Study
A Survey on the Restriction Conjectures

Explore restriction conjectures in harmonic analysis through a comprehensive mathematical survey by Hong Wang from IHES and NYU.
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Simons Foundation
Proving the Calderon Commutator Theorem

Discover Elias Stein's proof of the Calderon Commutator Theorem in this concise mathematical presentation exploring advanced harmonic analysis techniques.
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Hausdorff Center for Mathematics
Discrete Restriction in 2+1 vs 1+1 Dimensions

Explore discrete restriction theory in 2+1 vs 1+1 dimensions with Po Lam Yung, examining mathematical differences and implications across dimensional spaces.
- YouTube
- 47 minutes
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Joint Mathematics Meetings
Sharp Inequalities in Probability and Harmonic Analysis

Explore sharp inequalities in probability and harmonic analysis, covering motivations, history, proofs, and applications in stochastic integrals and numerical approximations.
- YouTube
- 59 minutes
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- Conference Talk
Banach Center
Discrete Harmonic Analysis and Its Applications to Ergodic Theory - Part 4

Explore discrete harmonic analysis and its applications to ergodic theory, delving into advanced mathematical concepts and their practical implications.
- YouTube
- 1 hour 5 minutes
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Banach Center
Discrete Harmonic Analysis and Its Applications to Ergodic Theory - Part 3

Explore advanced concepts in discrete harmonic analysis and their ergodic theory applications, focusing on cutting-edge research and mathematical insights.
- YouTube
- 1 hour 5 minutes
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- Free Video
Banach Center
Discrete Harmonic Analysis and Its Applications to Ergodic Theory - Part 2

Explore advanced concepts in discrete harmonic analysis and their ergodic theory applications, building on foundational knowledge from part 1.
- YouTube
- 1 hour 8 minutes
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Banach Center
Discrete Harmonic Analysis and Its Applications to Ergodic Theory - Part 1

Explore discrete harmonic analysis and its applications in ergodic theory, delving into advanced mathematical concepts and their practical implications.
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