$h$-Admissible Fourier integral operators

Authors: CHAFIKA AMEL AITEMRAR, ABDERRAHMANE SENOUSSAOUI

Abstract: We study in this work a class of $h$-admissible Fourier integral operators. These operators are bounded (respectively compact) in $L^{2}$ if the weight of the amplitude is bounded (respectively tends to 0).

Keywords: $h$-Admissible Fourier integral operators, symbol and phase, boundedness and compactness

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