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Results tagged with fa.functional-analysis
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user 979
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
4
votes
2
answers
185
views
How to diagonalize this tridiagonal difference operator with unbounded coefficients?
Problem: I have a self-adjoint operator in $\ell^2(\mathbb{Z})$ which acts as
$$T g(x)=q^{-2 x -3/2} g(x+1)+(1+q) q^{-2 x-1} g(x)+q^{-2 x +1/2} g(x-1),$$
and I am looking to diagonalize it. The spectr …
- 1,765
6
votes
1
answer
2k
views
Polynomials are dense in weighted $L^2$ space
Hi,
It seems to be a common knowledge that the polynomials $x^n$ are dense in $L^2$ spaces with various probability weights, such as the gamma distribution weight $x^{\alpha-1}e^{-x}/\Gamma(\alpha)\; …
- 1,765
2
votes
Accepted
What is the finite-temperature orthogonal/symplectic Tracy-Widom distribution?
This is not a complete answer, but more of an approach and an invitation to look at the relevant literature. As you write, you would like to insert the so-called Fermi factor into the Fredholm Pfaffia …
- 1,765