Uncertainty principles for the q-Hankel transform
We prove two propositions related to the support of functions and their q-Hankel transform. The rst says that if a function f and its q-Hankel transform both vanish at the points q¡n, n = 1; 2; ::: then f must vanish identically. The second asserts that if f is supported at [0; T] and its q-Hankel t...
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| Formato: | other |
| Idioma: | eng |
| Publicado em: |
2005
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| Assuntos: | |
| Texto completo: | http://hdl.handle.net/10316/11390 |
| País: | Portugal |
| Oai: | oai:estudogeral.sib.uc.pt:10316/11390 |
| Resumo: | We prove two propositions related to the support of functions and their q-Hankel transform. The rst says that if a function f and its q-Hankel transform both vanish at the points q¡n, n = 1; 2; ::: then f must vanish identically. The second asserts that if f is supported at [0; T] and its q-Hankel transform at [0; ] then T ¸ (q; q)2 . |
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