Explicit formula for the reproducing kernels for some weighted Fock spaces
The Fock space is a significant function space in complex analysis, especially for applications in physics. The Fock space has been studied in the literature in the last decades in detail. One of the most important properties of the Fock space is its relation with reproducing kernels, an extraordinary tool that plays a key role in recent mathematics. In this paper, the authors present new weighted Fock spaces, named \(\hat{F^2}_{-\alpha}\), which are the weighted Fock spaces \(F^2_{-\alpha}\) with equivalent norms. They study the properties of the spaces \(\hat{F^2}_{-\alpha}\) and determine their reproducing kernels explicitly.
scientific article; zbMATH DE number 7317504