Hilbert Spaces Courses and Certifications

Foundations of Quantum Mechanics

88 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 40 minutes
• On-Demand
• Paid Course

Mathematical Methods for Data Analysis

6 ratings at edX

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)

Fields Institute

Machine Learning and Dynamical Systems Meet in Reproducing Kernel Hilbert Spaces

Explore the intersection of machine learning and dynamical systems in Reproducing Kernel Hilbert Spaces, offering insights into advanced mathematical concepts and their applications.

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

Fields Institute

Learning Dynamical Systems via Koopman Operator Regression in Reproducing Kernel Hilbert Spaces

Explore Koopman operator regression in reproducing kernel Hilbert spaces for dynamical systems, enhancing understanding of machine learning applications in complex systems analysis.

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

ICTP Mathematics

MTC and Twisted Hilbert Spaces

Explore twisted Hilbert spaces and their applications in topology, including Jones polynomials, torsion, and Gromov-Witten invariants. Gain insights into advanced mathematical concepts and their interconnections.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Fields Institute

Shift Operators on Harmonic Hilbert Function Spaces - Von Neumann Inequality - Harmonic Polynomials

Exploring shift operators, von Neumann inequality, and harmonic polynomials in function spaces, with focus on spherical harmonics and their applications in analysis.

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

Fields Institute

Hilbert Matrix Operator on Bergman-Type Spaces

Explore the Hilbert matrix operator's behavior on various analytic function spaces, including Hardy, Bergman, and Besov spaces, with applications in complex analysis.

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

BIMSA

The Novikov Conjecture, Groups of Diffeomorphisms and Hilbert-Hadamard Spaces

Explore the Novikov conjecture through groups of diffeomorphisms and Hilbert-Hadamard spaces in this advanced mathematical presentation by Jianchao Wu.

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

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

For the Love of Physics

Advanced Quantum Mechanics

Dive into advanced quantum mechanics concepts including Dirac notation, Hilbert spaces, operators, uncertainty principles, and the mathematical foundations of QM theory.

• YouTube
• 5 hours 26 minutes
• On-Demand
• Free Video

NPTEL-NOC IITM

Postulates of Quantum Mechanics - Part II: Quantum Observables and Time-evolution

Explore quantum observables and time-evolution in quantum mechanics, delving into advanced postulates and theoretical concepts.

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

NPTEL-NOC IITM

Orthogonality of Signals - Lecture 10

Explore orthogonality of signals, a fundamental concept in signal processing and communication systems. Gain insights into its applications and importance.

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

Physics Videos by Eugene Khutoryansky

Quantum Vector Projections and Complex Coefficients Visualization

Explore complex quantum vector projections through visual explanations, from basic coefficients to orthogonal functions and infinite-dimensional spaces.

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

NCCR SwissMAP

Quantum Mechanics for Mathematicians - Master Class in Mathematical Physics 2019-2020

Master quantum mechanics through rigorous mathematical foundations and advanced theoretical frameworks in this comprehensive 20-hour physics masterclass.

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