INTEGRAL TRANSFORMATION ASSOCIATED WITH THE MACDONALD TYPE KERNELS

S.B. Yakubovich; L.D. Yarotzkaya

S.B. Yakubovich
L.D. Yarotzkaya

Keywords: he Macdonald function, the Kontorovich-Lebedev transform, the Hilbert transform, the Parseval equality

Abstract

Integral transformation, which is associated with the Macdonald type functions as the kernel is considered in the paper. Some L2-properties, relationship with the Hilbert and the Kontorovich-Lebedev transforms, the Parseval equality and inversion theorem are established.