Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fourier-Borel transformation on the hypersurface of any reduced
  polynomial   For any polynomial $p$ on $\mathbf{C}^{n}$, a variety $ V_{p} = \{z \in
\mathbf{C}^{n} ; p(z)=0 \} $ will be considered. Let $\text{Exp}(V_{p})$ be the
space of holomorphic functions of expotential growth on $V_{p}$. We shall prove
that the Fourier-Borel transformation yields an isomorphism of the dual space
$\text{Exp}'(V_{p})$ with the space of holomorphic solutions
$\mathcal{O}_{\partial p}(\mathbf{C}^{n})$ with respect to the differential
operator $\partial p$ which is obtained by replacing each variable $z_{j}$ with
$\partial / \partial z_{j}$ in $p$ when $p$ is a reduced polynomial. The result
has been shown by Morimoto and by Morimoto-Wada-Fujita only for the case $p(z)
= z_{1}^{2} + ... + z_{n}^{2} + \lambda (n \geq 2)$.

31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con