Functional Analysis Courses and Certifications

Hausdorff Center for Mathematics

Rademacher Projection in Non-Symmetric Convex Bodies - Alexander Litvak

Explores the Rademacher projection in non-symmetric convex bodies, proving sharpness of bounds and discussing implications for Banach-Mazur distances and mean zero functions.

• YouTube
• 56 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Connections Between Minimal Norm Interpolation and Local Theory of Banach Spaces

Explores statistical performance of minimum norm interpolators in non-linear regression, focusing on 2-uniformly convex norms and cotype 2 property. Analyzes bias and variance using tools from Banach space theory.

• YouTube
• 32 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

The Functional Volume Product Under Heat Flow

Explores monotonicity of functional volume product along Fokker-Planck heat flow, leading to improved Borell's hypercontractivity and Laplace transform quasi-norm lower bound.

• YouTube
• 29 minutes
• On-Demand
• Free Video

Harvard CMSA

Functional Analysis Over the Integers, L-Functions and Global Hodge Theory

Delve into advanced mathematical concepts exploring functional analysis over integers, unifying Archimedean and non-Archimedean analysis, with applications to L-functions and global Hodge theory.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Common Range of Co-analytic Toeplitz Operators on the Drury-Arveson Space

Delve into advanced functional analysis exploring co-analytic Toeplitz operators on Drury-Arveson space, focusing on cyclic multipliers and their mathematical implications.

• YouTube
• 38 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Point Evaluation in Paley-Wiener Spaces

Delve into advanced mathematical research on point evaluation norms in Paley-Wiener L^p-spaces, exploring extremal functions and collaborative findings in operator theory and analytic functions.

• YouTube
• 40 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Generic Properties of Contractions on Banach Spaces - Recent Results

Delve into advanced mathematical concepts exploring generic properties of contractions on Banach spaces, focusing on operator topology, Baire category theory, and the Invariant Subspace Problem.

• YouTube
• 45 minutes
• On-Demand
• Free Video

应用泛函分析

Dive into advanced mathematical concepts including Lebesgue theory, linear spaces, and operator theory, with practical applications in functional analysis.

• XuetangX
• On-Demand
• Free Online Course

泛函分析

掌握泛函分析的核心概念和应用，从距离空间到巴拿赫空间，深入研究拓扑线性空间的性质，培养抽象思维和数学分析能力。

• XuetangX
• On-Demand
• Free Online Course

Beijing Jiaotong University

泛函分析

Dive into fundamental concepts of functional analysis, exploring metric spaces, Banach spaces, and Hilbert spaces through rigorous mathematical proofs and practical applications in infinite-dimensional spaces.

• XuetangX
• On-Demand
• Free Online Course

Instituto de Matemática Pura e Aplicada

Análise Funcional - Aula 17

Aprofunde-se em espaços vetoriais normados, Banach e Hilbert. Explore teoremas fundamentais e operadores lineares na análise funcional avançada.

• YouTube
• 1 hour 47 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Análise Funcional - Aula 16

Aprofunde-se em espaços vetoriais normados, Banach e Hilbert. Explore teoremas fundamentais e topologias fracas na análise funcional avançada.

• YouTube
• 1 hour 31 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Análise Funcional - Aula 15

Explore advanced functional analysis concepts, including normed vector spaces, Banach spaces, linear operators, and key theorems in this doctoral-level mathematics lecture.

• YouTube
• 1 hour 56 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Análise Funcional - Aula 14

Explore advanced functional analysis concepts, including normed vector spaces, Banach spaces, linear operators, and key theorems in this doctoral-level mathematics lecture.

• YouTube
• 1 hour 57 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Doutorado: Análise Funcional - Aula 13

Aprofunde-se em espaços vetoriais normados, Banach, operadores lineares e teoremas fundamentais da análise funcional. Explore topologias fracas, espaços de Hilbert e teoria espectral.

• YouTube
• 2 hours 7 minutes
• On-Demand
• Free Video