Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Prony's method on the sphere   Eigenvalue analysis based methods are well suited for the reconstruction of
finitely supported measures from their moments up to a certain degree. We give
a precise description when Prony's method succeeds in terms of an interpolation
condition. In particular, this allows for the unique reconstruction of a
measure from its trigonometric moments whenever its support is separated and
also for the reconstruction of a measure on the unit sphere from its moments
with respect to spherical harmonics. Both results hold in arbitrary dimensions
and also yield a certificate for popular semidefinite relaxations of these
reconstruction problems.

30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph