On a class of $h$-Fourier integral operators (1302.3846v1)

Published 15 Feb 2013 in math.AP

Abstract: In this paper, we study the $L^{{2}$-boundedness} and $L^{{2}$-compactness} of a class of $h$-Fourier integral operators. These operators are bounded (respectively compact) if the weight of the amplitude is bounded (respectively tends to $0)$.

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