Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616185 | Journal of Mathematical Analysis and Applications | 2014 | 12 Pages |
Abstract
We develop the theory on the Fock space of metaanalytic functions, a generalization of some recent results on the Fock space of polyanalytic functions. We show that the metaanalytic Bargmann transform is a unitary mapping between vector-valued Hilbert spaces and metaanalytic Fock spaces. A reproducing kernel of the metaanalytic Fock space is derived in an explicit form. Furthermore, we establish a complete characterization of all lattice sampling and interpolating sequence for the Fock space of metaanalytic functions.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yingxiong Fu, Luoqing Li, Uwe Kaehler, Paula Cerejeiras,