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 , . In this short lecture we show that modulation spaces enable an elegant approach to various spaces of tempered distributions and ultradistributions , . In this context the difference between modulation spaces using polynomial or almost exponential weights becomes more clear.
|||H. G. Feichtinger, T. Strohmer (editors): Gabor Analysis and Algorithms, Birkhäuser, Boston, Basel, Berlin, 1998.|
|||K. Gröchenig: Foundations of Time-Frequency Analysis, Birkhäuser, Boston, Basel, Berlin, 2001.|
|||H. G. Feichtinger, K. Gröchenig, D. Walnut: Wilson Bases and modulation spaces, Math. Nach. 155:7-17, 1992.|
|||S.Pilipovic, N. Teofanov: Wilson Bases and ultramodulation spaces, Math. Nach. to appear.|