Multiple sampling and interpolation in Bergman spaces
Driss Aadi, Carlos Cruz, Andreas Hartmann (IMB), Karim Kellay (IMB)
TL;DR
This paper investigates multiple sampling and interpolation challenges with unbounded multiplicities in weighted Bergman spaces, focusing on both Hilbert space (p=2) and uniform (p=+ 7) cases.
Contribution
It provides new insights into sampling and interpolation problems with unbounded multiplicities in weighted Bergman spaces, extending existing theories.
Findings
Characterization of sampling and interpolation conditions for unbounded multiplicities
Extension of results to both p=2 and p=+ 7 cases
New theoretical framework for Bergman space sampling and interpolation
Abstract
We study multiple sampling and interpolation problems with unbounded multiplicities in the weighted Bergman space, both in the hilbertian case p = 2 and the uniform case p = +.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Mathematical Analysis and Transform Methods · Holomorphic and Operator Theory