Index transforms with the squares of Bessel functions
New index transforms, involving the squares of Bessel functions of the first kind as the kernel, are considered. Mapping properties such as the boundedness and invertibility are investigated for these operators in the Lebesgue spaces. Inversion theorems are proved. As an interesting application, a s...
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| Formato: | article |
| Idioma: | eng |
| Publicado em: |
2016
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| Texto completo: | https://hdl.handle.net/10216/90477 |
| País: | Portugal |
| Oai: | oai:repositorio-aberto.up.pt:10216/90477 |
| Resumo: | New index transforms, involving the squares of Bessel functions of the first kind as the kernel, are considered. Mapping properties such as the boundedness and invertibility are investigated for these operators in the Lebesgue spaces. Inversion theorems are proved. As an interesting application, a solution to the initial value problem for the third-order partial differential equation, involving the Laplacian, is obtained. |
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