On inversion of H-Transform in \eufb114_ν,r-space

1998/03/04 by Sergei A. Shlapakov, Shlapakov, Sergei A., Megumi Saigo +3
Mathematics · #Algebraic and Geometric Analysis #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #advanced mathematical theories #math.CA

paper · pdf · doi:10.48550/arxiv.math/9803166

arxiv created 1998/03/04 · openalex publication_date 1998/03/04 · arxiv updated 2009/11/30 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

The paper is devoted to study the inversion of the integral transform (\boldmathHf)(x)=∫^∞₀H^m,n_{\thinspace p,q} [xt|(a_i,α_i)_1,p
(b_j,β_j)_1,q.]f(t)dt involving the H-function as the kernel in the space \euf114_ν,r of functions f such that ∫^∞₀|t^νf(t)|^r\fracdtt<∞ (1<r<∞, ν∈\msb122).

Related

• Integral transforms with H-function kernels on \LLL_ν,r-Spaces
• The kernel of the radially deformed Fourier transform
• Inversion Formula for the Windowed Fourier Transform
• Fourier transform inversion in the Alexiewicz norm
• Inverses of integral transforms of RKHSs