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 {Mp} which satisfy Komatsu’s conditions (M.1) − (M.3)′ . In particular, when {Mp} is the Gevrey sequence (Mp = 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.Bulletin t. 151 de l'Académie serbe des sciences et des arts. Classe des sciences mathématiques et naturelles, sciences mathematiques no 4
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In this thesis we study Wiener’s lemma. The classical version of the lemma, whose realm is a Banach ...
We prove the boundedness of a general class of Fourier multipliers, in particular of the Hilbert tra...
We characterize the wave front set $WF^P_\ast(u)$ with respect to the iterates of a linear partial d...
Motivated by the product of periodic distributions, we give a new description of the wave front and ...
In this expository note we present an introduction to the Gabor wave front set. As is often the case...
We consider a special wavelet transform of Moritoh and give new definitions of wave front sets of te...
AbstractIn this paper we study the Fourier–Laplace transform of tempered ultrahyperfunctions introdu...
We introduce different notions of wave front set for the functionals in the dual of the Colomboau al...
In the first part of this thesis, we construct a function that lies in \(L^p(\mathbb{R}^d)\) for eve...
We introduce the wave front set WF*P(u) with respect to the iterates of a hypoelliptic linear partia...
We prove the following inclusion WF*(u)⊂ WF*(Pu)∪ Σ, u∈ε′* (Ω) where WF* denotes the non-quasianalyt...
In this work, we study a class of Fourier integral operators of infinite order acting on the Gelfa...
AbstractWe investigate the boundedness of unimodular Fourier multipliers on modulation spaces. Surpr...
The thesis is mainly concerned with two concepts fundamental for microlocal analysis, namely the wav...
AbstractThe theory of modulation spaces Mp,qm is extended to the general case 0<p, q⩽∞. It is shown ...
In this thesis we study Wiener’s lemma. The classical version of the lemma, whose realm is a Banach ...
We prove the boundedness of a general class of Fourier multipliers, in particular of the Hilbert tra...
We characterize the wave front set $WF^P_\ast(u)$ with respect to the iterates of a linear partial d...