scholarly journals L2 estimates for Fourier integral operators with complex phase

1983 ◽  
Vol 21 (1-2) ◽  
pp. 283-307 ◽  
Author(s):  
Lars Hörmander
Keyword(s):  
Integral Operators ◽  
Fourier Integral ◽  
Fourier Integral Operators ◽  
Complex Phase

scholarly journals h-Fourier Integral Operators with Complex Phase

2018 ◽  
Vol 6 (1) ◽  
pp. 77-84
Author(s):  
Chafika Amel AİTEMRAR ◽  
Abderrahmane SENOUSSAOUİ
Keyword(s):  
Integral Operators ◽  
Fourier Integral ◽  
Fourier Integral Operators ◽  
Complex Phase

scholarly journals On a class of h-Fourier integral operators with the complex phase

2022 ◽  
Vol 40 ◽  
pp. 1-11
Author(s):  
Chahrazed Harrat
Keyword(s):  
Integral Operators ◽  
Fourier Integral ◽  
Fourier Integral Operators ◽  
Complex Phase

In this work, we study the L2-boundedness and L2-compactness of a class of h-Fourier integral operators with the complex phase. These operators are bounded (respectively compact) if the weight of the amplitude is bounded (respectively tends to 0).

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