Spectral Theory: Regularity and Embedding

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (32)

Page 3 of 4

Spectral Decomposition of Unbounded Operators

Explores the spectral decomposition of non-bounded operators and presents the spectral theorem for self-adjoint non-bounded operators.

Representation Theory: Actions and Invariants

Covers the representation theory of groups, focusing on actions and invariants.

Linear Operators: Quantum Mechanics and Linear Algebra

Explores the role of linear operators in Quantum Mechanics and linear algebra, emphasizing eigenvalues and basis transformations.

Nuclear Chemistry: Basics

Introduces the basics of nuclear chemistry, covering the nature of the nucleus and different types of radioactive decay.

Adjoint of Linear Operators on Inner Product Spaces

Explores the adjoint of linear operators on inner product spaces, including self-adjoint, unitary, and normal operators.

Linear Algebra: Unitary Operators

Delves into unitary operators, self-adjoint properties, and spectral theorems in linear algebra.

Sturm-Liouville Problem: Homogeneous Boundary Conditions Essential Role

Explores the Sturm-Liouville eigenvalue problem, emphasizing the essential role of boundary conditions in ensuring self-adjointness and forming an orthogonal basis.

Unitary Group and Spectral Types

Covers the proof of unitary group uniqueness and spectral types.

Quantum Mechanics: Operators and Eigenvalues

Covers matrix elements, operators, paths with conditions, and time evolution in quantum mechanics.

Eisenstein Series and Spectral Decomposition

Covers Eisenstein series properties and spectral decomposition of functions.