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Sampling in Weighted Lp Spaces of Entire Functions in Cn and Estimates of the Bergman Kernel

✍ Scribed by Niklas Lindholm

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
249 KB
Volume
182
Category
Article
ISSN
0022-1236

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✦ Synopsis

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 operator, using asymptotic estimates for the Bergman kernel of independent interest.

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