Concept

Functional calculus

Related lectures (5)

Explores martingale-based linear response, complex diffusivity, and Nyquist relation in stochastic systems with time-dependent perturbation.

Covers bounded and measurable functional calculus, Borel transform, and unbounded functions.

Explores the spectral decomposition of self-adjoint operators on Hilbert spaces.

Covers the fundamental concepts of unbounded operators in quantum physics, focusing on defining a functional calculus and spectral decomposition.

Covers self-adjoint operators, Weyl criterion, and functional calculus in the context of symmetric operators and real spectrum.