Bargman Transforms and Phase Space Filters Summary

References

• Goldstein , H. 1950 . Classical Mechanics , Reading Mass : Addison Wesley .
   Google Scholar
• Klauder , J. R. and Sudarshan , E. C. G. 1968 . Fundamentals of Quantum Optics , W.B. Benjamin, Inc .
   Google Scholar
• Klauder , J. R. and Skagerstam , B. S. 1985 . Coherent States , Singapore : World Scientific .
   Google Scholar
• Wells , B. 1995 . “ The role of symmetry in modern physics problems ” . In Electromagnetic Symmetry Edited by: Baum , C. and Kritikos , H. Taylor Francis New York
   Google Scholar
• Cloude , S. R. 1995 . “ Lie groups in electromagnetic wave propagation and scattering ” . In Electromagnetic Symmetry Edited by: Baum , C. and Kritikos , H. Taylor Francis New York
   Google Scholar
• Perelomov , A. 1986 . Generalized Coherent States and their Applications , Berlin : Springer-Verlag .
   Google Scholar
• Elliot , J. P. and Dawber , P. G. 1990 . SymrrLetry in Physics , Vol. I ,I I , New York : Oxford University Press .
   Google Scholar
• Daubechies , I. 1992 . Ten Lectures on Wavelets , Philadelphia : SIAM .
   Google Scholar
• Meyer , Y. 1993 . Algorithms and Applications , Philadelphia : SIAM .
   Google Scholar
• Heil , C. and Walnut , D. 1989 . Continuous and discrete wavelet transforms , : 626 – 666 . SIAM Rev. 31
   Google Scholar
• Bargman , V. 1961 . On a Hilbert space of analytic functions and associated integral transform . Communications of Pure and Applied Mathematics , XIV : 187 – 214 .
   Google Scholar
• Folland , G. B. 1989 . Harmonic Analysis in Phase Space , Princeton : Princeton University Press .
   Google Scholar
• Ramanathan , J. and Topiwala , P. 1993 . Time-frequency localization via the Weyl correspondence . SIAM J. Mat. Anal. , 24 Sept. : 1378 – 1393 . No. 5
   Web of Science ®Google Scholar
• Daubechies , I. 1988 . Time-frequency localization operators: A geometric phase space approach . IEEE Transactions on Information Theory , 34 July No. 4
   Google Scholar
• Teti , J. G. Jr. and Kritikos , H. N. 1992 . SAR ocean image decomposition using the Gabor expansion . IEEE Transactions on Geoscience and Remote Sensing , 30 January : 192 – 196 . no. 1
   Google Scholar
• Teti , J. G. Jr. and Kritikos , H. N. 1992 . SAR ocean image representation using wavelets . IEEE Transactions on Geoscience and Remote Sensing , 30 ( no. 5 ) September : 1089 – 1094 .
   Google Scholar
• Sattinger , D. H. and Weaver , O. L. 1991 . Lie Groups and Algebras with Applications to Physics Geometry, and Mechanics , New York : Springer Verlag .
   Google Scholar
• Bargman , V. 1967 . On a Hilbert space of analytic functions and an associated integral transform Part II. A family or related function spaces application to distribution theory . Communications of Pure and Applied Mathematics , XX : 1 – 101 .
   Google Scholar
• Daubechies , I. 1988 . Frames in the Bargman space of entire functions . Communications of Pure and Applied Mathematics , XLI : 51 – 164 .
   Google Scholar
• Rainville , R. 1960 . Special Functions , New York : MaxMillan .
   Google Scholar
• Arfken , G. Mathematical Methods for Physicists , New York 1970 : Academic Press .
   Google Scholar
• Dudley , D. G. 1988 . Progress in the identification of electromagnetic system, IEE Antennas and Propagation Society Newsletter , August
   Google Scholar
• Bowman , J. J. 1969 . Electromagnetie and Acoustic Scattering by Simple Shapes , Amsterdam : North Holland Publishing Co .
   Google Scholar
• Frielander , B. and Porat , B. 1989 . Detection of transient signals by the Gabor representation . IEEE Trans. ASSP , 37 ( No. 2 ) Feb. : 169 – 170 .
   Google Scholar
• Gradsheteyn , I. S. and Ryzhik , I. M. Tables of Integrals Series and Products. ,
   Google Scholar
• Teti , J. G. Jr. , Berger , W. A. and Gorrnan , R. P. 1996 . A multifeature decision space approach to radar target identification . IEEE Transactions on Aerospace and Electrorzic Systems , 32 ( No. 1 ) January : 480
   Google Scholar