Measures with locally finite support and spectrum
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Yves Meyer [1]
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[1] ENS Cachan
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- Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 33, Nº 3, 2017 (Ejemplar dedicado a: Yves Meyer), págs. 1025-1036
- Idioma: inglés
- DOI: 10.4171/RMI/962
- Texto completo no disponible (Saber más ...)
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Resumen
This note answers an issue raised by Nir Lev and Alexander Olevskii in [7]. In the conclusion of [7] Lev and Olevskii mentioned a new and fascinating Poisson summation formula suggested by André Paul Guinand in [4]. Lev and Olevskii wanted to know to what class of functions this formula applies. This will be answered below (Theorem 4.1). Another intriguing Poisson summation formula was elaborated in [10]. We show that it is coupled to the Epstein ζ function by a coupling discovered by Jean-Pierre Kahane and Szolem Mandelbrojt in [5].
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