Schatten–von Neumann norm inequalities for two-wavelet localization operators associated with β-Stockwell transforms

References

• Boggiatto , P , Fernandez , C and Galbis , A . 2009 . A group representation related to the Stockwell transform . Indiana Univ. Math. J. , 58 ( 5 ) : 2277 – 2296 .
   Web of Science ®Google Scholar
• Stockwell , RG , Mansinha , L and Lowe , RP . 1996 . Localization of the complex spectrum: The S transform . IEEE Trans. Signal Process. , 44 : 998 – 1001 .
   Web of Science ®Google Scholar
• Du , J , Wong , MW and Zhu , H . 2007 . Continuous and discrete inversion formulas for the Stockwell transform . Integral Transforms Spec. Funct. , 18 : 537 – 543 .
   Web of Science ®Google Scholar
• Guo , Q and Wong , MW . 2008 . Modified Stockwell transforms . Ace. Sc. Torino-Memorie Sc. Fis., Mat. Nat., Serie V , 32 : 3 – 20 .
   Google Scholar
• Guo , Q , Molahajloo , S and Wong , MW . 2009 . “ Modified Stockwell transforms and time-frequency analysis ” . In New Developments in Pseudo-Differential Operators, Operator Theory: Advances and Applications , Edited by: Rodino , L and Wong , MW . Vol. 189 , 275 – 285 . Basel : Birkhäuser .
   Google Scholar
• Wong , MW and Zhu , H . 2007 . “ A characterization of the Stockwell spectrum ” . In Modern Trends in Pseudo-Differential Operators, Operator Theory: Advances and Applications , Edited by: Rodino , L , Schulze , B-W and Wong , MW . Vol. 172 , 251 – 257 . Basel : Birkhäuser .
   Google Scholar
• Liu , Y . 2009 . “ Localization operators for two-dimensional Stockwell transforms ” . In New Developments in Pseudo-Differential Operators, Operator Theory: Advances and Applications , Edited by: Rodino , L and Wong , MW . Vol. 189 , 287 – 296 . Basel : Birkhäuser .
   Google Scholar
• Liu , Y and Wong , MW . 2007 . “ Inversion formulas for two-dimensional Stockwell transform ” . In Pseudo-Differential Operators: Partial Differential Equations and Time-Frequency Analysis , Edited by: Rodino , L , Schulze , B-W and Wong , MW . 323 – 330 . Providence, RI : Fields Institute Communications, Series 52, American Mathematical Society .
   Google Scholar
• Liu , Y and Mohammed , A . 2009 . L p (R) boundedness and compactness of localization operators associated with the Stockwell transforms . Rend. Sem. Mat. Univ. Pol. Torino , 67 ( 2 ) : 203 – 214 .
   Google Scholar
• Molahajloo , S and Wong , MW . 2009 . Square-integrable group representations and localization operators for modified Stockwell transforms . Rend. Sem. Mat. Univ. Pol. Torino , 67 : 215 – 227 .
   Google Scholar
• Stockwell , RG . 2007 . “ Why use the S-transform ” . In Pseudo-Differential Operators: Partial Differential Equations and Time-Frequency Analysis , Edited by: Rodino , L , Schulze , B-W and Wong , MW . 279 – 309 . Providence, RI : Fields Institute Communications, Series 52, American Mathematical Society .
   Google Scholar
• Catană , V . 2007 . “ Schatten–von Neumann norm inequalities for two-wavelet localization operators ” . In Pesudo Differential Operators: Partial Differential Equations and Time-Frequency Analysis , Edited by: Rodino , L , Schulze , B-W and Wong , MW . 265 – 277 . Providence, RI : Fields Institute Communications, Series 52, American Mathematical Society .
   Google Scholar
• Wong , MW and Zhang , Z . 2003 . Traces of localization operators with two admissible wavelets . Anziam J. , 44 : 17 – 25 .
   Web of Science ®Google Scholar
• Wong , MW . 2002 . Wavelet Transforms and Localization Operators , Basel : Birkhäuser .
   Google Scholar