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Boundedness of pseudo-differential operators involving Kontorovich–Lebedev transform

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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… Click to show full 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 and p.d.o. on and are discussed.

Keywords: pseudo differential; kontorovich lebedev; lebedev transform; differential operators; transform

Journal Title: Integral Transforms and Special Functions
Year Published: 2017

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