Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strict density inequalities for sampling and interpolation in weighted
  spaces of holomorphic functions   Answering a question of Lindholm, we prove strict density inequalities for
sampling and interpolation in Fock spaces of entire functions in several
complex variables defined by a plurisubharmonic weight. In particular, these
spaces do not admit a set that is simultaneously sampling and interpolating. To
prove optimality of the density conditions, we construct sampling sets with a
density arbitrarily close to the critical density. The techniques combine
methods from several complex variables (estimates for $\bar \partial$) and the
theory of localized frames in general reproducing kernel Hilbert spaces (with
no analyticity assumed). The abstract results on Fekete points and deformation
of frames may be of independent interest.

21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat