Bases of exponents with a piecewise linear phase in generalized weighted Lebesgue space

Abstract

Abstract The perturbed system of exponents with a piecewise linear phase, consisting of eigenfunctions of a discontinuous differential operator, is considered in this work. Under certain conditions on the weight function of the form of a power function, sufficient conditions for the basicity of this system are obtained in generalized weighted Lebesgue space.

Keywords

• system of exponents
• weighted space
• variable exponent
• basicity