Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kernel Theorems in Coorbit Theory   We prove general kernel theorems for operators acting between coorbit spaces.
These are Banach spaces associated to an integrable representation of a locally
compact group and contain most of the usual function spaces (Besov spaces,
modulation spaces, etc.). A kernel theorem describes the form of every bounded
operator between a coorbit space of test functions and distributions by means
of a kernel in a coorbit space associated to the tensor product representation.
As special cases we recover Feichtinger's kernel theorem for modulation spaces
and the recent generalizations by Cordero and Nicola. We also obtain a kernel
theorem for operators between the Besov spaces $\dot{B}^0_{1,1}$ and
$\dot{B}^{0}_{\infty, \infty }$.

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The categories of this paper are: supr-con
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The categories of this paper are: physics
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex