Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasianalytic functionals and ultradistributions as boundary values of
  harmonic functions   We study boundary values of harmonic functions in spaces of quasianalytic
functionals and spaces of ultradistributions of non-quasianalytic type. As an
application, we provide a new approach to H\"ormander's support theorem for
quasianalytic functionals. Our main technical tool is a description of
ultradifferentiable functions by almost harmonic functions, a concept that we
introduce in this article. We work in the setting of ultradifferentiable
classes defined via weight matrices. In particular, our results simultaneously
apply to the two standard classes defined via weight sequences and via weight
functions.

8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
3
The categories of this paper are: physics
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn