Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Fourier restriction type problems on compact Lie groups   In this article, we obtain new results for Fourier restriction type problems
on compact Lie groups. We first provide a sharp form of $L^p$ estimates of
irreducible characters in terms of their Laplace-Beltrami eigenvalue and as a
consequence provide some sharp $L^p$ estimates of joint eigenfunctions for the
ring of invariant differential operators. Then we improve upon the previous
range of exponent for scale-invariant Strichartz estimates for the Sch\"odinger
equation, and prove $L^p$ bounds of Laplace-Beltrami eigenfunctions in terms of
their eigenvalue matching the known bounds on tori. The main novelties in our
approach consist of a barycentric-semiclassical subdivision of the Weyl alcove
and sharp $L^p$ estimates on each component of this subdivision of some weight
functions coming out of the Weyl denominator.

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The categories of this paper are: econ
11
The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-th
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: ao-sci