Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Support theorem on R^n and non compact symmetric spaces   We consider convolution equations of the type f * T = g where f, g are in
L^p(R^n) and T is a compactly supported distribution. Under natural assumptions
on the zero set of the Fourier transform of T we show that f is compactly
supported, provided g is. Similar results are proved for non compact symmetric
spaces as well.

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The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
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The categories of this paper are: nlin
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: mtrl-th