Invariant Integral Operators

Related lectures (30)

Page 3 of 3

Explores Schottky groups, spectral gaps, and the Fractal Uncertainty Principle.

Covers the extension of bounded linear transformations and the free propagator in L^2 spaces.

Covers the proof of unitary group uniqueness and spectral types.

Explores distributional derivatives, continuity, boundedness of linear operators, and weak-* continuity.

Explains the postulates of quantum mechanics and the representation of observables by operators.

Explores eigenvalue problems, eigenbasis, spectral theorem, and properties of normal operators.

Covers the properties and convolution of the Fourier transform.

Explores spectral basis, Schrödinger equation, unitary equivalence, and self-adjoint operators.

Explores the spectrum of hyperbolic surfaces, focusing on Fuchsian groups and their actions.

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