Time-frequency partitions for the Gelfand triple (S~0, L^2, S~0^1)
- Autores: H. G. Feichtinger, M. Dorfler
- Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 98, Nº 1, 2006, págs. 81-96
- Idioma: inglés
- Enlaces
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Resumen
We give a new characterization of the Gelfand triple of function spaces in (S0,L2,S′0) by means of a family of time-frequency localization operators. The localization operators are defined by the short-time Fourier transform and determine the local time-frequency behavior, whereas the global time-frequency distribution is characterized by a sequence space norm. We also show that the alternative time-frequency localization method with the Weyl transform fails to yield a similar characterization of time-frequency distribution.
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