Nenad Teofanov, University of Novi Sad (Koautor: Stevan Pilipovic)
For the study of local properties of objects in phase space (time-frequency domain) it is convenient to use modulation spaces. Existing literature concerning modulation spaces confirms their importance both from the theoretical and the practical point of view [1], [2]. In this short lecture we show that modulation spaces enable an elegant approach to various spaces of tempered distributions and ultradistributions [3], [4]. In this context the difference between modulation spaces using polynomial or almost exponential weights becomes more clear.
| [1] | H. G. Feichtinger, T. Strohmer (editors): Gabor Analysis and Algorithms, Birkhäuser, Boston, Basel, Berlin, 1998. |
| [2] | K. Gröchenig: Foundations of Time-Frequency Analysis, Birkhäuser, Boston, Basel, Berlin, 2001. |
| [3] | H. G. Feichtinger, K. Gröchenig, D. Walnut: Wilson Bases and modulation spaces, Math. Nach. 155:7-17, 1992. |
| [4] | S.Pilipovic, N. Teofanov: Wilson Bases and ultramodulation spaces, Math. Nach. to appear. |
| E-Mail: | tnenad@unsim.im.ns.ac.yu |