Micro-local analysis in some spaces of ultradistributions

Details Micro-local analysis in some spaces of ultradistributions Micro-local analysis in some spaces of ultradistributions

2011-09-24

arxiv.org/abs/1109.5250v1

Mathematics

Functional Analysis

28 pages

Scientific paper

In this paper we extend some results from our earlier papers on wave-front sets, concerning wave-front sets of Fourier-Lebesgue and modulation space types, to a broader class of spaces of ultradistributions, and relate these wave-front sets with the usual wave-front sets of ultradistributions. Furthermore, we use Gabor frames for the description of discrete wave-front sets, and prove that these wave-front sets coincide with corresponding continuous ones.

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