Borel functional calculus

Related lectures (11)

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Covers linear algebra in Dirac notation, emphasizing the scalar product and density product in quantum computations.

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 Ward identities in Quantum Field Theory, emphasizing classical and quantum cases, symmetry generators, and perturbation theory.

Covers Hermitian and Unitary operators, real number equivalents, and eigenvalues.

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.

Explores the convolution of tempered distributions and solving differential equations using fundamental solutions.

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

Explores the definition and properties of the functional calculus for self-adjoint and bounded operators.