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Geometric conditions for interpolation in weighted spaces of entire functions

✍ Scribed by M. Ounaïes

Publisher
Springer-Verlag
Year
2007
Tongue
English
Weight
649 KB
Volume
17
Category
Article
ISSN
1050-6926

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Sampling in Weighted Lp Spaces of Entire
Sampling in Weighted Lp Spaces of Entire Functions in Cn and Estimates of the Bergman Kernel
✍ Niklas Lindholm 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 249 KB

The necessary density condition in C known for sampling and interpolation in the L p space of entire functions with a subharmonic weight is extended to the case of a 2-homogeneous, plurisubharmonic weight function in C. The method is by estimating the eigenvalues of a certain Toeplitz concentration