Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An uncertainty principle for spectral projections on rank one symmetric
  spaces of noncompact type   Let $G $ be a noncompact semisimple Lie group with finite centre. Let $X=G/K$
be the associated Riemannian symmetric space and assume that $X$ is of rank
one. The spectral projections associated to the Laplace-Beltrami operator are
given by $P_{\lambda}f =f\ast \Phi_{\lambda}$, where $\Phi_{\lambda}$ are the
elementary spherical functions on $X$. In this paper, we prove an Ingham type
uncertainty principle for $P_{\lambda}f$. Moreover, similar results are
obtained in the case of spectral projections associated to Dunkl Laplacian.

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The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci