Discrete Analogs of Wigner Transforms and Weyl Transforms

2019 ◽  
pp. 1-20
Author(s):  
Shahla Molahajloo ◽  
M. W. Wong
Keyword(s):  
Weyl Transforms ◽  
Discrete Analogs

scholarly journals On the Weyl transform for rotationally invariant symbols

2019 ◽  
Vol 10 (4) ◽  
pp. 769-791 ◽  
Author(s):  
Norbert Ortner ◽  
Peter Wagner
Keyword(s):  
Asymptotic Behavior ◽  
Differential Operators ◽  
Symmetric Distributions ◽  
Yield Criteria ◽  
Weyl Transform ◽  
Pseudo Differential Operators ◽  
Weyl Transforms ◽  
Rotationally Invariant

Abstract Several formulas for the eigenvalues $$\lambda _j$$ λ j of the Weyl transforms $$W_\sigma $$ W σ of symbols $$\sigma $$ σ given by radially symmetric distributions are derived. These yield criteria for the boundedness and the compactness, respectively, of the pseudo-differential operators $$W_\sigma .$$ W σ . We investigate some examples by analyzing the asymptotic behavior of $$\lambda _j$$ λ j for $$j\rightarrow \infty $$ j → ∞ .

Weyl transforms for H-type groups

2014 ◽  
Vol 6 (1) ◽  
pp. 11-19 ◽  
Author(s):  
Aparajita Dasgupta ◽  
M. W. Wong
Keyword(s):  
Weyl Transforms
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