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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.

6 votes
Accepted

Representation of Heisenberg-Weyl elements and their exponentials

The Heisenberg-Weyl algebra or the Weyl algebra or the algebra of the Canonical Commutation Relations (CCR) is generated by the $p,q$ generators subject to the relation $$ [q, p] = i \hbar I \ \ \ \ …
Konstantinos Kanakoglou's user avatar
1 vote

Reference request: numerical analysis of PDEs and integro partial differential equations

I am not a specialist on the subject, but having faced similar problems in the past, I know the situation can be quite tricky, especially since you put the question in general, including thus non-line …
Konstantinos Kanakoglou's user avatar
5 votes
2 answers
2k views

On the domains and extensions of unbounded operators

I am not an expert in functional analysis but I was studying some, motivated from some mathematical physics considerations. I am not quite sure whether this is research-level, but let me state some co …
Konstantinos Kanakoglou's user avatar