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Jun
11
comment Two integrals involving Legendre Functions
Do you think it is impossible to simplify these integrals? I have seen similar, even more complicated looking integrals in books (e.g. Ryzhik) which can be simplified or at least where one can get rid of the integrals. That is the reason I am hoping to achieve the same in above cases. Unfortunately I do not know how to approach this task.
Jun
10
revised Two integrals involving Legendre Functions
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Jun
9
revised Two integrals involving Legendre Functions
added 6 characters in body
Jun
9
revised Two integrals involving Legendre Functions
added 17 characters in body
Jun
9
revised Two integrals involving Legendre Functions
added 81 characters in body
Jun
9
asked Two integrals involving Legendre Functions
Feb
17
accepted Fundamental solution to the heat equation with zero boundary values
Feb
17
asked Fundamental solution to the heat equation with zero boundary values
Jan
27
accepted holomorphic continuation
Jan
26
asked holomorphic continuation
Dec
1
accepted Formula for the Perimeter of a spherical triangle?
Dec
1
comment Formula for the Perimeter of a spherical triangle?
Thanks for your help! This is a nice formula. In my understanding this formula doesn't work for triangles with any of its lengths $\ell_i>\pi$. Do you agree or am I missing something?
Dec
1
asked Formula for the Perimeter of a spherical triangle?
Sep
7
comment Boundary regularity of Dirichlet Eigenfunction on bounded domains
Thank you very much! @Christian: Why should there be a problem? Do you have an exceptional situation in mind?
Sep
6
asked Boundary regularity of Dirichlet Eigenfunction on bounded domains
Aug
7
comment construction of heat kernels for non-compact manifolds with boundary
Did you find an answer to your question in meanwhile? I'm wondering, if one can construct the dirichlet heat kernel for unbounded domains with boundary this way (e.g. unbounded domains in euclidean space).
Aug
4
comment Existence of the Dirichlet heat kernel for arbitrary open subsets?
@Chrisitan: Thank you! What do you mean by $e^{t\Delta}$? In my experience this symbol occurs in two situations. First in the context of 'continuous functional calculus'. And second in the theory of 'strongly continuous semigroups'. Maybe all of them correspond to the same operator, but I'm not sure. I would be very glad, if you can explain it to me?
Aug
3
accepted How to evaluate the wiener measure of sets?
Aug
3
asked Existence of the Dirichlet heat kernel for arbitrary open subsets?
Jul
14
comment How to evaluate the wiener measure of sets?
Thank you very much for your help! I have to think some time about your approach and probably will tell you whether it helps.