Functional Calculus and Borel Transform

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Explores the verification of PVM properties and the spectral theorem for unbounded operators in quantum mechanics.

Explores the application of linear algebra in quantum mechanics, emphasizing vector spaces, Hilbert spaces, and the spectral theorem.

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

Explores vector spaces, linear transformations, matrices, eigenvalues, inner products, and operators.

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Explores norms and bounded operators in functional analysis, demonstrating their properties and applications.

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Explores the theory of bounded operators on Hilbert space, including adjoint properties and self-adjointness.

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