English

Sampling and interpolation in radial weighted spaces of analytic functions

Complex Variables 2007-05-23 v2

Abstract

We obtain sampling and interpolation theorems in radial weighted spaces of analytic functions for weights of arbitrary (more rapid than polynomial) growth. We give an application to invariant subspaces of arbitrary index in large weighted Bergman spaces.

Keywords

Cite

@article{arxiv.math/0506297,
  title  = {Sampling and interpolation in radial weighted spaces of analytic functions},
  author = {A. Borichev and R. Dhuez and K. Kellay},
  journal= {arXiv preprint arXiv:math/0506297},
  year   = {2007}
}

Comments

43 pages

R2 v1 2026-07-22T17:20:45.110Z