English

On the dimension of the Fock type spaces

Complex Variables 2021-02-26 v1

Abstract

We study the weighted Fock spaces in one and several complex variables. We evaluate the dimension of these spaces in terms of the weight function extending and completing earlier results by Rozenblum-Shirokov and Shigekawa.

Keywords

Cite

@article{arxiv.2102.13063,
  title  = {On the dimension of the Fock type spaces},
  author = {Alexander Borichev and Van An Le and Hassan Youssfi},
  journal= {arXiv preprint arXiv:2102.13063},
  year   = {2021}
}