Hilbert Spaces Courses and Certifications

Fields Institute

Hilbert Spaces With No Choice

Explore the intriguing concept of Hilbert spaces without the axiom of choice in this advanced mathematical seminar, delving into set theory and functional analysis.

• YouTube
• 1 hour 37 minutes
• On-Demand
• Free Video

Fields Institute

Hilbert Spaces Without Countable AC

Explore advanced mathematical concepts in Hilbert spaces without countable axiom of choice, presented by Bruce Blackadar from the University of Nevada, Reno.

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

Fields Institute

Mini-course on Drury-Arveson Space - Part 1

Explore Drury-Arveson Space: origins, function theory, and connections to noncommutative geometry. Gain insights into this fundamental concept in operator theory and its applications.

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

Centre International de Rencontres Mathématiques

Geometry of Reproducing Kernels in Hilbert Spaces of Analytic Functions

Explore geometric properties of reproducing kernels in Hilbert spaces of analytic functions, focusing on their applications and implications in mathematical analysis.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Nonmonotone Forward-Backward Splitting Method for Infinite-Dimensional Optimization Problems

Explore nonmonotone forward-backward splitting for nonsmooth composite problems in Hilbert spaces, covering convergence analysis, complexity, and numerical experiments.

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

Foundations of Quantum Mechanics

74 ratings at Coursera

Explore wave-particle duality, Schrödinger equation, and quantum measurements. Master mathematical tools for quantum mechanics and gain foundational knowledge for advanced topics.

• Coursera
• 1 day 2 hours 29 minutes
• On-Demand
• Free Online Course (Audit)

Introduction to Quantum Mechanics

This course offers a basic introduction to quantum mechanics, covering both theoretical concepts and practical applications. It aims to equip students with a foundational understanding of quantum phenomena and prepare them for further studies.

• edX
• 4 weeks, 1-3 hours a week
• On-Demand
• Free Online Course (Audit)

Mathematical Methods for Data Analysis

Learn mathematical methods for data analysis including mathematical formulations and computational methods. Some well-known machine learning algorithms such as k-means are introduced in the examples.

• edX
• 8 weeks, 6-10 hours a week
• On-Demand
• Free Online Course (Audit)

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
• 12 weeks
• On-Demand
• Free Online Course

Functional Analysis and its Applications

Explore advanced mathematical concepts in vector spaces, operators, and abstract analysis while mastering fundamental theorems and their practical applications in science and engineering.

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

The Bright Side of Mathematics

Functional Analysis

Comprehensive exploration of functional analysis, covering metric spaces, Banach spaces, Hilbert spaces, operators, and spectral theory, with detailed examples and key theorems.

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

Simons Institute

Reinforcement Learning in Feature Space: Complexity and Regret

Explore reinforcement learning in feature space, focusing on complexity, regret analysis, and innovative approaches like MatrixRL. Learn about state feature mapping and its applications in real-world scenarios.

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

Institute for Advanced Study

Many Body Scars as a Group Invariant Sector of Hilbert Space - Kiryl Pakrouski

Explore quantum many-body scars as group-invariant Hilbert space sectors, examining their properties, energy gaps, and implications for high-temperature quantum systems and long-range correlations.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Quantum Information and the Black Hole Interior II - Ahmed Almeiri

Explore quantum information's role in black hole interiors, covering key concepts like typicality, central charge, and complementarity in theoretical physics.

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

Applied Algebraic Topology Network

Bi-Lipschitz Embeddings of the Space of Persistence Barcodes

Explore bi-Lipschitz embeddings of persistence barcodes into Hilbert space, focusing on Figalli and Gigli's metric for optimal partial transport and its applications to unordered m-tuples.

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