Basicity of System of Exponents with Complex Coefficients in Generalized Lebesgue Spaces

We consider a perturbed system of exponents {e sup iλnt /sup } sub n∈Z /sub , when the sequence {λ sub n /sub } sub n∈Z /sub has a definite asymptotics. We study basis properties (completeness, minimality, basicity) of this system in Lebesgue space of functions Lp(.) (-π,π) with variable summability exponent p(.), subject to parameters contained in the asymptotics {λ sub n /sub .} sub n∈Z /sub .