On Fourier – Kontorovich–Lebedev generalized convolution transforms
Sign Up to like & getrecommendations! Published in 2017 at "Integral Transforms and Special Functions"
DOI: 10.1080/10652469.2017.1281922
Abstract: ABSTRACT We deal with several classes of integral transformations of the form where D is a special differential operator. In case D is the identical operator, we prove a Young type theorem for a generalized… read more here.
Keywords: fourier kontorovich; lebedev generalized; kontorovich lebedev; generalized convolution ... See more keywords
Boundedness of pseudo-differential operators involving Kontorovich–Lebedev transform
Sign Up to like & getrecommendations! Published in 2017 at "Integral Transforms and Special Functions"
DOI: 10.1080/10652469.2017.1288726
Abstract: ABSTRACT A pair of pseudo-differential operators (p.d.o.) involving the Kontorovich–Lebedev transform (KL-transform) as well as its adjoint is defined. Estimates for translation and convolution function associated with the Kontorovich–Lebedev transform are obtained. Continuity of KL-transform… read more here.
Keywords: pseudo differential; kontorovich lebedev; lebedev transform; differential operators ... See more keywords
A class of Fredholm equations and systems of equations related to the Kontorovich-Lebedev and the Fourier integral transforms
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DOI: 10.3906/mat-2001-24
Abstract: In this article, we solve in closed form a class of Fredholm integral equations and systems of Fredholm integral equations with nondegenerate kernels by using techniques of convolutions and generalized convolutions related to the Kontorovich-Lebedev,… read more here.
Keywords: related kontorovich; equations systems; class fredholm; integral transforms ... See more keywords