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Results tagged with spherical-geometry
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user 94631
1
vote
Accepted
Basis on the sphere in multidimensions
Ivan Izmestiev answered my question, see comments below.
In addition, the question above inspired me to find the explicit result for such integrals (they arise in the framework of generalized Radon …
- 537
0
votes
1
answer
329
views
Basis on the sphere in multidimensions
I'm interested if there is the explicit forms of basis functions in $L^2(S^n), n\geq 3$.
For $n=1, n=2$ basis functions are well known: $\{e^{ik\phi}\}_{k\in\mathbb{Z}}$, $\{p^{|m|}_n(\cos \gamma) e …
- 537
4
votes
1
answer
431
views
Calderon-Zygmund theorem for the kernel of spherical harmonics
I don't want to write precisely the formulation of the Calderon-Zygmund theorem for singular integrals. The details are not so important here.
So I consider the operator $T$ given by the following f …
- 537