Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characterization of ultradifferentiable test functions defined by weight
  matrices in terms of their Fourier transform   We prove that functions with compact support in non-quasianalytic classes of
Roumieu-type and of Beurling-type defined by a weight matrix with some mild
regularity conditions can be characterized by the decay properties of their
Fourier transform. For this we introduce the abstract technique of constructing
from the original matrix multi-index matrices and associated function spaces.
We study the behaviour of this construction in detail and characterize its
stability. Moreover non-quasianalyticity of the classes is characterized.

37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org