Riesz bases of reproducing kernels in Fock type spaces and de Branges spaces

2015/12/30 by Baranov, Anton, Belov, Yurii, Borichev, Alexander
#Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1512.09001

Abstract

We describe the radial Fock type spaces which possess Riesz bases of normalized reproducing kernels and which are (are not) isomorphic to de Branges spaces in terms of the weight functions.

Related

• Riesz bases of reproducing kernels in Fock type spaces
• De Branges spaces and Fock spaces
• Sampling, interpolation and Riesz bases in small Fock spaces
• Cauchy-de Branges spaces, geometry of their reproducing kernels and multiplication operators
• The Fock space as a de Branges-Rovnyak space