Geodesic
Wave-front sets in non-quasianalytic setting for Fourier-Lebesgue and modulation spaces
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 43 (2018) no. 1

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We define and study wave-front sets for weighted Fourier-Lebesgue spaces when the weights are moderate with respect to associated functions for general sequences $\{ M_p\} $ which satisfy Komatsu's conditions $(M.1) - (M.3)'$. In particular, when $\{ M_p\} $ is the Gevrey sequence $(M_p = p!^s$, $s>1)$ we recover some previously observed results. Furthermore, we consider wave-front sets for modulation spaces in the same setting, and prove the invariance property related to the Fourier-Lebesgue type wave-front sets. 
@article{BASS_2018_43_1_a6,
     author = {Nenad Teofanov},
     title = {Wave-front sets in non-quasianalytic setting for {Fourier-Lebesgue} and modulation spaces},
     journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
     pages = {81 - 111},
     publisher = {mathdoc},
     volume = {43},
     number = {1},
     year = {2018},
     url = {http://geodesic.mathdoc.fr/item/BASS_2018_43_1_a6/}
}
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Nenad Teofanov. Wave-front sets in non-quasianalytic setting for Fourier-Lebesgue and modulation spaces. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 43 (2018) no. 1. http://geodesic.mathdoc.fr/item/BASS_2018_43_1_a6/