- Tytuł:
- Solving dual integral equations on Lebesgue spaces
- Autorzy:
-
Ciaurri, Óscar
Guadalupe, José
Pérez, Mario
Varona, Juan - Powiązania:
- https://bibliotekanauki.pl/articles/1205966.pdf
- Data publikacji:
- 2000
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
Fourier series
Hankel transform
Bessel functions
dual integral equations - Opis:
- We study dual integral equations associated with Hankel transforms, that is, dual integral equations of Titchmarsh's type. We reformulate these equations giving a better description in terms of continuous operators on $L^p$ spaces, and we solve them in these spaces. The solution is given both as an operator described in terms of integrals and as a series $∑_{n=0}^{∞} c_n J_{μ+2n+1}$ which converges in the $L^p$-norm and almost everywhere, where $J_ν$ denotes the Bessel function of order ν. Finally, we study the uniqueness of the solution.
- Źródło:
-
Studia Mathematica; 2000, 142, 3; 253-267
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł