operator symbol
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L2-boundedness and L2-compactness of a class of semiclassical Fourier integral operators with operator symbol

2020 ◽  
pp. 2150028
Author(s):  
Nawel Habel ◽  
Abderrahmane Senoussaoui
Keyword(s):  
Integral Operators ◽  
Fourier Integral ◽  
Fourier Integral Operators ◽  
Order Function ◽  
Operator Symbol

In this paper, we study the [Formula: see text]-boundedness and [Formula: see text]-compactness of a class of [Formula: see text]-Fourier integral operators ([Formula: see text]-FIOs) with operator symbol. Mainly, we prove that this class is [Formula: see text]-bounded (respectively, [Formula: see text]-compact) if the order function is bounded (respectively, tends to 0).

scholarly journals A probabilistic operator symbol framework for quantum information

2006 ◽  
Vol 27 (6) ◽  
pp. 507-532 ◽  
Author(s):  
Margarita A. Man’ko ◽  
Vladimir I. Man’ko ◽  
Rui Vilela Mendes
Keyword(s):  
Quantum Information ◽  
Operator Symbol

Uniform high-frequency approximations of the square root Helmholtz operator symbol

Wave Motion ◽  
1997 ◽  
Vol 26 (2) ◽  
pp. 127-161 ◽  
Author(s):  
Louis Fishman ◽  
A.K. Gautesen ◽  
Zhiming Sun
Keyword(s):  
High Frequency ◽  
Square Root ◽  
Helmholtz Operator ◽  
Operator Symbol
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