Parseval equality

Convolutions with a class of weight function for the Fourier cosine integral transform in the spaces Lp a,B(R) are studied. Existence conditions for these convolutions, a Young’s type theorem and a Parseval type equality are obtained. Applications to solve a class of the integral equations and systems of integral equations with function coefficiences are considered.

11p larachdumlanat127 20-12-2020 11 1   Download

In this work, we study the one-dimensional Dirac system on a whole line with impulsive conditions. We construct a spectral function of this system. Using the spectral function, we establish a Parseval equality and spectral expansion formula for such a system.

19p nutifooddau 21-01-2019 17 2   Download