Sampling and interpolation in large Bergman and Fock spaces
Copyright policy )Sampling and interpolation in large Bergman and Fock spaces
We obtain sampling and interpolation theorems in weighted spaces of analytic functions for radial weights of arbitrary (more rapid than polynomial) growth. We give an application to invariant subspaces of arbitrary index in large weighted Bergman spaces.
- University of Bordeaux France
- Université Bordeaux-I France
- UNIVERSITE BORDEAUX I France
- UNIVERSITE BORDEAUX I France
- French National Centre for Scientific Research France
sampling, Moment problems and interpolation problems in the complex plane, interpolation, index of an invariant subspace, Interpolation, Banach spaces of continuous, differentiable or analytic functions, Bergman spaces, Spaces of analytic functions, [MATH.MATH-CV] Mathematics [math]/Complex Variables [math.CV], Fock spaces, Index of invariant subspaces, Sampling, Interpolation in approximation theory, Analysis
sampling, Moment problems and interpolation problems in the complex plane, interpolation, index of an invariant subspace, Interpolation, Banach spaces of continuous, differentiable or analytic functions, Bergman spaces, Spaces of analytic functions, [MATH.MATH-CV] Mathematics [math]/Complex Variables [math.CV], Fock spaces, Index of invariant subspaces, Sampling, Interpolation in approximation theory, Analysis
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