Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Primordial function and ambiguity in its determination   We study the possibility to reconstruct the primordial function for some
periodic function. The procedure includes an analytical continuation of a
discrete function for Fourier coefficients computation, that introduces an
ambiguity. To establish conditions under which no ambiguity appears, the
modification of Carlson theorem is suggested. In a case when no subsidiary
condition is imposed, ambiguity in the definition of primordial function does
not go beyond the functions which belong to space $\Omega^{\prime}$.

19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th