Methods of Modern Mathematical Physics I: Functional Analysis
Book
Domain Context
Physics
Citation
Michael Reed and Barry Simon. (1980). Methods of Modern Mathematical Physics I: Functional Analysis. Academic Press.
Why this reference is included
Reed and Simon’s Methods of Modern Mathematical Physics I: Functional Analysis (1980), published by Academic Press, sits in the program’s reference corpus as a standing technical source. Cited 3 times in Book III (Categorical Spectrum), Part 4, Chapter The Lemniscate Operator, where the program draws on it in the context of “For the reverse inclusion, standard von Neumann theory shows that the Kirchhoff condition is maximal among boundary conditions yielding symmetric operators on L.”
Cited in
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Book III — Categorical Spectrum Part 4Chapter The Lemniscate Operator
For the reverse inclusion, standard von Neumann theory shows that the Kirchhoff condition is maximal among boundary conditions yielding symmetric operators on L
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Book III — Categorical Spectrum Part 4Chapter The Lemniscate Operator
The resolvent (H_L - λ)^-1 is compact for λ Spec(H_L), hence H_L has discrete spectrum
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Book III — Categorical Spectrum Part 4Chapter The Lemniscate Operator
\] Standard spectral theorem for self-adjoint operators with compact resolvent