Sampling and interpolation in large Bergman and Fock spaces
By A. Borichev, R. Dhuez, K. Kellay. 2007
87 citations recorded by the source corpus.
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.
Subfields: Applied Mathematics
View Paper: https://www.semanticscholar.org/paper/b21a5269bbb0e64528d624f66a2a426bedf0f956
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In Applied Mathematics
- J. A. Pel'aez
- Jordi Pau
- Y. Belov
- A. Baranov
- A. Borichev
- Jouni Rattya
- O. Constantin
- Ramón Quintanilla
Citations in the corpus
- Riesz bases of reproducing kernels in Fock-type spaces (2009, methodology): “For a similar construction see [3]; for an alternative way to produce analytic functions Q satisfying such conditions see the atomization procedure in [8].”
- Embedding theorems and integration operators on Bergman spaces with rapidly decreasing weights (2010, background): “The following result, partially proved in [6], will be a key in the proof of Theorem 1.”