[2] Condon E U. Immersion of the Fourier transform in a continuous group of functional transfornation.Acad. Sci. USA, 1937, 23:158

[3] Bargmann V. On a Hilbert space of analytic functions and associated integral transforms. Commun.Pure Appl. Math., 1961, 14:187

[4] Namias V. The fractional order Fourier transform and its application to quantum medchanics. J.Inst. Math. Its. Appl., 1980, 25:241

[5] Mcbride A C, Kerr F H. On Namias fractional Fourier transforms. IMA J. Appl. Math., 1987, 39:159

[6] Mendlovic D, Ozaktas H M. Fractional Fourier transforms and their optical implementation. J.Opt. Soc. Am. A, 1993, 10:1875

[7] Lohmann A W. Image rotation, Wigner rotation, and fractional Fourier transform. J. Opt. Soc.Am. A, 1993, 10:2181

[8] Mendlovic D, Ozaktas H M, Lohmann A W. Graded-index fiber, Wigner-distribuion functions, and the fractional Fourier transform. Appl. Opt., 1994, 33:2424

[9] Finer P P. Fresnel diffraction and the fractional-order Fourier transform. Opt. Lett., 1994, 19:1388

[10] Dong B et al. Numerical investigation of phase retrieval in a fraction Fourier transform. J. Opt.Soc. Am. A, 1997, 14:2709

[11] Zhang Y et al. Optical implementations of the Radon-Wigner display for one-dimensional signals.Opt. Lett, 1998, 23:1126

[12] Ozaktas H M, Mendlovic D. Fractional Fourier transform as a tool for analyzing beam propagation and spherical mirror resonators. Opt. Left., 1994 19:1678

[13] Ozaktas H M et al. Convolution, filtering, and multiplexing in fractional Fourier domain and their relation to schirp and wavelet transform. J. Opt. Soc. Am. A, 1994, 11:547

[14] Ozaktas H M et al. Digital computation of the factional Fourier transform. IEEE, Tanns. Sign.Proc., 1996, 44:2141