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Schrodinger operators, operators on manifolds, general differential operators, numerical studies, integral operators, discrete models, resonances, non-self-adjoint operators, random operators/matrices

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Spectral Theorem, $AB = BA \implies B\Phi(f) = \Phi(f)B$

I'm studying the spectral theorem as appears in Reed and Simon's Functional Analysis. Assume we have constructed the continuous functional calculus for a self adjoint bounded operator $A$ on a hilber …
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