Sampling and interpolation in radial weighted spaces of analytic functions

2005/06/15 by Alexander Borichev, Borichev, A., Rémi Dhuez +3
Mathematics · #30H05 (Primary) 30E05 #46E20 #47B37 (Secondary) #Advanced Harmonic Analysis Research #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.math/0506297

openalex publication_date 2005/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• Interpolation schemes in weighted Bergman spaces
• Interpolation and Sampling on Riemann Surfaces
• Multiple sampling and interpolation in Bergman spaces
• Interpolation and sampling sequences for mixed-norm spaces
• Random sampling and unisolvent interpolation by almost everywhere analytic functions