Harmonic Analysis Courses and Certifications

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
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Sharp Fourier Restriction onto the Parabola and the Cubic Monomial - Lecture 1

Explore sharp Fourier restriction estimates for parabola and cubic monomial curves, advancing understanding in harmonic analysis and algebraic geometry applications.

• YouTube
• 59 minutes
• Self-Paced
• Free Video

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
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Sharp Estimates for Gowers Norms on Discrete Cubes

Explore optimal estimates between Gowers U^k norms and l^p norms on discrete cubes, examining sharp inequalities for generalized additive energies and related Shannon entropy.

• YouTube
• 57 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Dimension-Free Estimates for Low Degree Functions on the Hamming Cube

Explore dimension-free L^p inequalities for low degree scalar-valued functions on the Hamming cube, including Bernstein-Markov type inequalities and their applications.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

Centre International de Rencontres Mathématiques

Project Orange - Parabolic Maximal Regularity and the Kato Square Root Property

Explore parabolic maximal regularity and Kato square root property in advanced mathematical analysis. Gain insights into harmonic analysis techniques for elliptic operators.

• YouTube
• 1 hour 27 minutes
• Self-Paced
• Free Video

Centre International de Rencontres Mathématiques

Unexpected Norms on BMO and the Dirichlet Problem

Explore unexpected norms on BMO and the Dirichlet problem in this advanced mathematics talk by Moritz Egert, delving into harmonic analysis and partial differential equations.

• YouTube
• 56 minutes
• Self-Paced
• Free Video

Centre International de Rencontres Mathématiques

Gradient Bounds for the Heat Kernel on the Vicsek Set

Explore gradient bounds for heat kernels on Vicsek sets, delving into harmonic analysis and partial differential equations in this advanced mathematical lecture.

• YouTube
• 56 minutes
• Self-Paced
• 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
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Signal Recovery, Restriction Theory, and Applications - Lecture 2

Explore signal recovery techniques using Fourier transforms and restriction theory, with applications to multiple transmissions and continuous problems in mathematics.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

Banach Center

Uniform Bounds for Multilinear Singular Integrals - Part 3

Explore advanced techniques for establishing uniform bounds in multilinear singular integrals, building on previous discussions and delving into complex mathematical concepts.

• YouTube
• 47 minutes
• Self-Paced
• Free Video

Banach Center

Uniform Bounds for Multilinear Singular Integrals - Part 4

Explore advanced mathematical concepts in multilinear singular integrals, focusing on uniform bounds and their applications in complex analysis and harmonic analysis.

• YouTube
• 59 minutes
• Self-Paced
• Free Video

Banach Center

Uniform Bounds for Multilinear Singular Integrals - Part 2

Explore advanced techniques for establishing uniform bounds on multilinear singular integrals, building upon previous concepts and delving into complex mathematical analysis.

• YouTube
• 39 minutes
• Self-Paced
• Free Video

Banach Center

Uniform Bounds for Multilinear Singular Integrals - Part 1

Explore uniform bounds for multilinear singular integrals with Olli Saari, delving into advanced mathematical concepts and their applications in analysis.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

Banach Center

Maximal Singular Averages - Part 3

Explore advanced concepts in maximal singular averages, delving into complex mathematical theories and applications in functional analysis.

• YouTube
• 1 hour 17 minutes
• Self-Paced
• Free Video