• Media type: E-Article
  • Title: Riesz bases of reproducing kernels in Fock-type spaces
  • Contributor: Borichev, Alexander; Lyubarskii, Yurii
  • Published: Cambridge University Press (CUP), 2010
  • Published in: Journal of the Institute of Mathematics of Jussieu, 9 (2010) 3, Seite 449-461
  • Language: English
  • DOI: 10.1017/s147474800900019x
  • ISSN: 1474-7480; 1475-3030
  • Origination:
  • Footnote:
  • Description: AbstractIn a scale of Fock spaces $\mathcal{F}_\varphi$ with radial weights ϕ we study the existence of Riesz bases of (normalized) reproducing kernels. We prove that these spaces possess such bases if and only if ϕ(x) grows at most like (log x)2.