DOI

We study the problem of density of polynomials in the de Branges spaces ℋ(E) of entire functions and obtain conditions (in terms of the distribution of the zeros of the generating function E) ensuring that the polynomials belong to the space ℋ(E) or are dense in this space. We discuss the relation of these results with the recent paper of V. P. Havin and J. Mashreghi on majorants for the shift-coinvariant subspaces. Also, it is shown that the density of polynomials implies the hypercyclicity of translation operators in ℋ(E).

Язык оригиналаанглийский
Страницы (с-по)16-38
Число страниц23
ЖурналArkiv for Matematik
Том44
Номер выпуска1
DOI
СостояниеОпубликовано - 1 апр 2006

    Предметные области Scopus

  • Математика (все)

ID: 32721852