TITLE:
On the Frame Properties of System of Exponents with Piecewise Continuous Phase
AUTHORS:
Saeed Mohammadali Farahani, Tofig Isa Najafov
KEYWORDS:
System of Exponents; Frame Property; Perturbation
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.5,
May
22,
2013
ABSTRACT: A double system of exponents with piecewise continuous complex-valued coefficients are considered. Under definite conditions on the coefficients the frame property of this system in Lebesgue spaces of functions is investigated. Such systems arise in the spectral problems for discontinuous differential operators.