Geodesic
Micro-Local Analysis in Some Spaces of Ultradistributions
Publications de l'Institut Mathématique, _N_S_92 (2012) no. 106, p. 1 .

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We extend some results from [14] and [19], concerning wave-front sets of Fourier-Lebesgue and modulation space types, to a broader class of spaces of ultradistributions. We relate these wave-front sets one to another and with the usual wave-front sets of ultradistributions. Furthermore, we give a description of discrete wave-front sets by introducing the notion of discretely regular points, and prove that these wave-front sets coincide with corresponding wave-front sets in [19]. Some of these investigations are based on the properties of the Gabor frames.
Classification : 35A18 35S30 42B05 35H10
Keywords: wave-front sets, weighted Fourier-Lebesgue spaces, ultradistributions 
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Karoline Johansson; Stevan Pilipović; Nenad Teofanov; Joachim Toft. Micro-Local Analysis in Some Spaces of Ultradistributions. Publications de l'Institut Mathématique, _N_S_92 (2012) no. 106, p. 1 . http://geodesic.mathdoc.fr/item/PIM_2012_N_S_92_106_a0/