Sampling in weighted L-p spaces of entire functions in C-n and estimates of the Bergman kernel

The necessary density condition in C known for sampling and interpolation i n the L-P space of entire functions with a subharmonic weight is extended t o the case of a 2-homogeneous, plurisubharmonic weight function in C. The m ethod is by estimating the eigenvalues of a certain Toeplitz concentration operator, using asymptotic estimates for the Bergman kernel of independent interest. (C) 2001 Academic Press.