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Hilbert spaces of entire functions with trivial zeros

Functional Analysis 2010-08-04 v1 Spectral Theory

Abstract

Let HH be a Hilbert space of entire functions. Let HH' be the space of the functions f(z)/i(zzi)f(z)/\prod_i(z-z_i) where ff belongs to HH and vanishes at nn given complex points ziz_i. We compute a suitable EE function for HH' when one is given for HH.

Keywords

Cite

@article{arxiv.1008.0518,
  title  = {Hilbert spaces of entire functions with trivial zeros},
  author = {Jean-François Burnol},
  journal= {arXiv preprint arXiv:1008.0518},
  year   = {2010}
}

Comments

10 pages