POLYANALYTIC REPRODUCING KERNELS IN C n
Abstract
In this note we establish integral formulas for polyanalytic functions in several variables. More precisely, given a positive integer q, we provide explicit expressions for the reproducing kernels of the weighted Bergman spaces of q-analytic functions on the unit ball in C n and that of q-analytic Fock space in C n .
Domains
Mathematics [math]
Origin : Files produced by the author(s)