Multi-dimensional generalized integral transform in the weighted spaces of summable functions
From MaRDI portal
Publication:2095824
DOI10.1134/S1995080222090244MaRDI QIDQ2095824
O. V. Skoromnik, Sergei A. Shlapakov, Sergeĭ Mikhaĭlovich Sitnik
Publication date: 15 November 2022
Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)
multidimensional Mellin transformspace of summable functionsmulti-dimensional generalized integral transformspecial functions in kernel
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fractional derivatives and integrals (26A33)
Related Items
Multi-dimensional integral transforms with the Fox \(H \)-function and the Legendre function of first kind in kernels on \(\mathfrak{L}_{\overline{\nu},\overline{r}} \)-spaces ⋮ Adapting a new formula to generalize multidimensional transforms
Cites Work
- Transmutations, singular and fractional differential equations with applications to mathematical physics
- One-Dimensional and Multi-Dimensional Integral Transforms of Buschman–Erdélyi Type with Legendre Functions in Kernels
- On the Range of an Integral Transformation
- Applications of integral transforms composition method (ITCM) to wave-type singular differential equations and index shift transmutations
- On integral transformations with G-function kernels
- On the representation of functions by the Hankel and some related transformations
- Transmutation Operators and Applications
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item