On inversion of H-Transform in $\eufb114_{ν,r}$-space

Details On inversion of H-Transform in $\eufb114_{ν,r}$-space On inversion of H-Transform in $\eufb114_{ν,r}$-space

1998-03-04

arxiv.org/abs/math/9803166v1

Mathematics

Classical Analysis and ODEs

Scientific paper

The paper is devoted to study the inversion of the integral transform $$(\mbox{\boldmath$H$}f)(x)=\int^\infty_0H^{m,n}_{\thinspace p,q} \left[xt\left|\begin{array}{c}(a_i,\alpha_i)_{1,p}\\[1mm](b_j,\beta_j)_{1,q} \end{array}\right.\right]f(t)dt$$ involving the $H$-function as the kernel in the space $\euf114_{\nu ,r}$ of functions $f$ such that $$\int^\infty_0\left|t^\nu f(t)\right|^r\frac{dt}t<\infty\quad(1

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