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Results tagged with fa.functional-analysis
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user 24070
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
8
votes
2
answers
988
views
Rigorous definition of the commutator $[a(k_1), a^\ast(k_2)]$ of creation and annihilation o...
In their lecture notes "Boson Quantum Field Models" (in "Mathematics of Contemporary Physics", R.Streater (ed.)), Glimm and Jaffe define an annihilation operator $a(k), k \in \mathbb{R}$ on a certain …
- 111
3
votes
1
answer
352
views
Solvability for constant-coefficient partial differential operators
Let $\mathcal{S}$ denote the space of Schwartz functions on $\mathbb{R}^n$, and $\mathcal{S}'$ the space of tempered distributions. Let $L$ denote a linear, constant-coefficient, partial differential …
- 111