Open Access$h$-Admissible Fourier integral operators
Author(s) -
Chafika Amel Aitemrar,
Abderrahmane Senoussaoui
Publication year - 2016
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.454
H-Index - 27
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-1506-47
Subject(s) - mathematics , bounded function , fourier integral operator , fourier transform , operator theory , class (philosophy) , fourier analysis , mathematical analysis , microlocal analysis , pure mathematics , fourier inversion theorem , fractional fourier transform , artificial intelligence , computer science
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).
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