This article is cited in 3 papers

$\mathrm{CR}$-functions and holomorphic almost periodic functions with entire finite basis

L. I. Ronkin

B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, Khar'kov

Abstract: A notion of generating function for an almost periodic function with entire finite basis is introduced. It is proved that the set of all generating functions corresponding to a fixed basis coincides with the set of all continuous $\mathrm{CR}$-functions on some Reinhardt $\mathrm{CR}$-manifold $G$ that depends only on the basis. An analitic representation of $\mathrm{CR}$-functions on G is obtained, too.

Received: 23.12.1996

Bibliographic databases:

•