INTEGRAL TRANSFORMATION ASSOCIATED WITH THE MACDONALD TYPE KERNELS

  • 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.

Published
2020-03-25