Redaktion: K. Sigmund, G. Greschonig (Univ. Wien, Strudlhofgasse ...

126 Funktionalanalysis, Harmonische Analysis
Operatoren auf C� � 0� 1����� 1� konstruiert werden, deren Summe kein Daugavet-
Operator ist.
[1] V. Kadets, R. Shvidkoy, G. Sirotkin and D. Werner: Banach spaces with the
Daugavet property. Trans. Amer. Math. Soc. 352 (2000), 855–873.
[2] V. Kadets, R. Shvidkoy and D. Werner: Narrow operators and rich subspaces
of Banach spaces with the Daugavet property. Studia Math. (2001).
[3] D. Bilik, V. Kadets, R. Shvidkoy, G. Sirotkin and D. Werner: Narrow operators
on vector-valued sup-normed spaces. Preprint 2001.
Alle Arbeiten sind auf der Homepage zu finden.
Spaces of Test Functions via the Short Time Fourier Transform
GEORG ZIMMERMANN
(gemeinsam mit Karlheinz Gröchenig)
Inst. f. Angew. Math. & Stat., Universität Hohenheim, D–70619 Stuttgart
gzim@uni-hohenheim.de
http://www.uni-hohenheim.de/˜gzim
We show how the Björck spaces of ultra-rapidly decaying test functions and the
Gelfand–Shilov spaces of type S can be described via the Short Time Fourier
Transform. We also point out connections with the so-called modulation spaces
(e.g., see [1]). These spaces are characterized by the global behaviour of the
short-time Fourier transform of its members. They are the appropriate framework
to describe function spaces by means of Gabor frames, in a way similar to
the characterization of Besov spaces via wavelet expansions.
[1] H.G. Feichtinger, K. Gröchenig, and D. Walnut, Wilson Bases and Modulation
Spaces, Math. Nachr. 155 (1992), pp. 7–17.