International Journal of Mathematics and Mathematical Sciences (Jan 1998)

On inversion of H-transform in 𝔏v,r-space

  • Sergei A. Shlapakov,
  • Megumi Saigo,
  • Anatoly A. Kilbas

DOI
https://doi.org/10.1155/S0161171298000994
Journal volume & issue
Vol. 21, no. 4
pp. 713 – 722

Abstract

Read online

The paper is devoted to study the inversion of the integral transform (Hf)(x)=∫0∞Hp,qm,n[xt|(ai,αi)1,p(bj,βj)1,p|] f(t)dt involving the H-function as the kernel in the space 𝔏v,r of functions f such that ∫0∞|tυf(t)|rdtt<∞ (1<r<∞,ν∈ℝ).

Keywords