Basis Properties of Exponential Systems With Linear Phases in Morrey-Sobolev Type Spaces

Abstract

This paper is devoted to the study of basis properties of the system {t} ∪ e i(n+β sign n)t n∈Z , where β is a real parameter, in Morrey-Sobolev-type spaces. We find sufficient conditions for the basicity in Morrey-Sobolev-type spaces in terms of inequalities of the parameter β .