Functional Analysis Courses and Certifications

Introduction to Functional Analysis

Explore advanced mathematical concepts in normed spaces, including Banach and Hilbert spaces, operators, and spectral theory. Gain insights into solving linear and nonlinear problems in infinite-dimensional settings.

• MIT OpenCourseWare
• On-Demand
• Free Online Course

Fields Institute

Some Functional Analysis Theorems

Explore key functional analysis theorems with Qingyang Bao from the University of Toronto, delving into advanced mathematical concepts and their applications in operator algebra.

• YouTube
• 25 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

Transfer Pricing Fundamentals

1527 ratings at Udemy

Understand the basics of the arm's length principle and international transfer pricing rules.

• Udemy
• 2 hours 24 minutes
• On-Demand
• Paid Course

IMSC;  NPTEL

FUNCTIONAL ANALYSIS

Comprehensive exploration of functional analysis, covering normed linear spaces, Banach and Hilbert spaces, weak topologies, and key theorems with applications in mathematics and partial differential equations.

• Swayam
• 15 weeks
• On-Demand
• Free Online Course

NPTEL-NOC IITM

The Banach Fixed Point Theorem

Explore the Banach fixed point theorem, a fundamental concept in functional analysis with applications in various mathematical fields.

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

Business Analysis: Functional & Non-Functional Requirements

8294 ratings at Udemy

Simple Requirements Decomposition / Drill-Down Techniques for Defining Product Behaviors and Qualities (Now with AI)

• Udemy
• 1 hour 33 minutes
• On-Demand
• Paid Course

Fields Institute

Reproducing Kernel Hilbert Space of Analytic Functions - Lecture 10, Part 1

Explore advanced concepts in analytic function spaces, including reproducing kernel Hilbert spaces, with a focus on examples, generalizations, and special cases.

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

Fields Institute

Monotonicity, Convexity, and Realization of Noncommutative Functions

Explore noncommutative functions, focusing on monotonicity, convexity, and realization. Delve into classical representations and modern approaches in matrix analysis and functional calculus.

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

Fields Institute

Introduction to Frames and Riesz Bases - Part 3

Explores advanced topics in frame theory, including wavelet frames, Gabor frames, and dynamical sampling, building on previous lectures and examining key results from literature.

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

Fields Institute

Introduction to Frames and Riesz Bases - Part 2

Explore Fourier transforms, wavelet theory, and Gabor frames in this advanced mathematics lecture, focusing on recent developments in frame theory and Riesz bases.

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

Fields Institute

Introduction to Frames and Riesz Bases - Part 1

Explore key concepts of frames and Riesz bases in functional analysis, including characterizations, properties, and applications like Sigma-Delta quantization.

• YouTube
• 54 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

ICTP Mathematics

Composition Semigroups on Analytic Spaces of the Upper Half Plane

Explore continuous semigroups of composition operators on analytic spaces, examining generators, spectra, and resolvents. Gain insights into norm and spectral properties of integral operators.

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

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