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Dörfler, M.* ; Feichtinger, H.G.* ; Gröchenig, K.

Time-frequency partitions for the Gelfand triple (S0, L2, S'0).

Math. Scand. 98, 81-96 (2006)
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We give a new characterization of the Gelfand triple of function spaces in (S-0, L-2, 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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Publikationstyp Artikel: Journalartikel
Dokumenttyp Wissenschaftlicher Artikel
Schlagwörter Gelfand triple, time-frequency concentration, Zak transform, modulation space, localization operator, Gabor frame
ISSN (print) / ISBN 0025-5521
e-ISSN 1903-1807
Quellenangaben Band: 98, Heft: 1, Seiten: 81-96 Artikelnummer: , Supplement: ,
Verlag Aarhus Universitet
Verlagsort Aarhus
Begutachtungsstatus Peer reviewed