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Continuous functional calculus
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Related lectures (5)
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Functional Calculus and Borel Transform
Covers bounded and measurable functional calculus, Borel transform, and unbounded functions.
Spectral Decomposition of Bounded Self-Adjoint Operators
Explores the spectral decomposition of self-adjoint operators on Hilbert spaces.
Domain and Graph of Unbounded Operators
Covers the fundamental concepts of unbounded operators in quantum physics, focusing on defining a functional calculus and spectral decomposition.
Functional Calculus: Self-Adjoint Operators
Covers self-adjoint operators, Weyl criterion, and functional calculus in the context of symmetric operators and real spectrum.
Functional Calculus: Operator Definition and Properties
Explores the definition and properties of the functional calculus for self-adjoint and bounded operators.
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