Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An $L^p$-spectral multiplier theorem with sharp $p$-specific regularity
  bound on Heisenberg type groups   We prove an $L^p$-spectral multiplier theorem for sub-Laplacians on
Heisenberg type groups under the sharp regularity condition
$s>d\left(1/p-1/2\right)$, with $d$ being the topological dimension of the
underlying group. Our approach relies on restriction type estimates where the
multiplier is additionally truncated along the spectrum of the Laplacian on the
center of the group.

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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
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The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom