Linear independence of time frequency translates for special configurations
- Autores: Ciprian Demeter
- Localización: Mathematical research letters, ISSN 1073-2780, Vol. 17, Nº 4, 2010, págs. 761-779
- Idioma: inglés
- DOI: 10.4310/mrl.2010.v17.n4.a14
- Enlaces
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Resumen
We prove that for any 4 points in the plane that belong to 2 parallel lines, there is no linear dependence between the associated time-frequency translates of any nontrivial Schwartz function. If mild Diophantine properties are satisfied, we also prove linear independence in the category of $L^2(\R)$ functions
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