Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Representation of Distributions by Harmonic and Monogenic Potentials in
  Euclidean Space   In the framework of Clifford analysis, a chain of harmonic and monogenic
potentials in the upper half of (m+1)-dimensional Euclidean space was recently
constructed, including a higher dimensional analogue of the logarithmic
function in the complex plane, and their distributional boundary values were
computed. In this paper we determine these potentials in lower half-space, and
investigate whether they can be extended through the boundary R^m. This is a
stepping stone to the representation of a doubly infinite sequence of
distributions in R^m, consisting of positive and negative integer powers of the
Dirac and the Hilbert-Dirac operators, as the jump across R^m of monogenic
functions in the upper and lower half-spaces, in this way providing a sequence
of interesting examples of Clifford hyperfunctions.

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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga