DOI

We describe differentiation-invariant subspaces of C (a, b) which admit spectral synthesis. This gives a complete answer to a question posed by A. Aleman and B. Korenblum. It turns out that this problem is related to a classical problem of approximation by polynomials on the real line. We will depict an intriguing connection between these problems and the theory of de Branges spaces.

Язык оригиналаанглийский
Страницы (с-по)44-71
Число страниц28
ЖурналGeometric and Functional Analysis
Том29
Номер выпуска1
DOI
СостояниеОпубликовано - фев 2019

    Предметные области Scopus

  • Анализ
  • Геометрия и топология

ID: 39817125