On the Frame Properties of System of Exponents with Piecewise Continuous Phase

Affiliation(s)

Institute of Mathematics and Mechanics of NASA, Baku, Azerbaijan.

Nakhchivan State University, Nakhchivan, Azerbaijan.

Institute of Mathematics and Mechanics of NASA, Baku, Azerbaijan.

Nakhchivan State University, Nakhchivan, Azerbaijan.

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.

Cite this paper

S. Farahani and T. Najafov, "On the Frame Properties of System of Exponents with Piecewise Continuous Phase,"*Applied Mathematics*, Vol. 4 No. 5, 2013, pp. 848-853. doi: 10.4236/am.2013.45116.

S. Farahani and T. Najafov, "On the Frame Properties of System of Exponents with Piecewise Continuous Phase,"

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