| References |
Mitra, S.K., (2001) Nonlinear Image Processing. Academic Press Series in Communications, p. 248. , Networking, and Multimedia, San Diego, New York; Wiener, N., Hermitian polynomials and Fourier analysis (1929) J. Math. Phys., 8, pp. 70-73; Condon, E.U., Immersion of the Fourier transform in a continuous group of functional transforms (1937) Proc. Nat. Acad. Sci., 23, pp. 158-164; Kober, H., Wurzeln aus der Hankel- und Fourier und anderen stetigen Transformationen (1939) Quart. J. Math. Oxford Ser., 10, pp. 45-49; Bargmann, V., On a Hilbert space of analytic functions and an associated integral transform. Part 1 (1961) Commun. Pure Appl. Math., 14, pp. 187-214; Namias, V., The fractional order Fourier transform and its application to quantum mechanics (1980) J. Inst. Math. Appl., 25, pp. 241-265; McBride, A.C., Kerr, F.H., On Namias' fractional Fourier transforms (1987) IMA J. Appl. Math., 39, pp. 159-265; Ozaktas, H.M., Mendlovic, D., Fourier transform of fractional order and their optical interpretation (1993) Opt. Commun., 110, pp. 163-169; Lohmann, A.W., Image rotation, Wigner rotation, and the fractional order Fourier transform (1993) J. Opt. Soc. Am. A., 10, pp. 2181-2186; Almeida, L.B., The fractional Fourier transform and time-frequency representation (1994) IEEE Trans. Sig. Proc., 42, pp. 3084-3091; Ozaktas, H.M., Zalevsky, Z., Kutay, M.A., (2001) The Fractional Fourier Transform, , Wiley, Chichester; Rundblad-Labunets, E., Labunets, V., Astola, J., Egiazarian, K., Fast fractional Fourier-Clifford transforms (1999) Second International Workshop on Transforms and Filter Banks, 5, pp. 376-405. , Tampere, Finland, TICSP Series; Rundblad, E., Labunets, V., Astola, J., Egiazarian, K., Polovnev, S., Fast fractional unitary transforms (1999) Proc. of Conf. Computer Science and Information Technologies, pp. 223-226. , Yerevan, Armenia; Creutzburg, R., Rundblad, E., Labunets, V., Fast algorithms for fractional Fourier transforms (1999) Proc. of IEEE-EURASIP Workshop on Nonlinear Signal and Image Processing, pp. 383-387. , Antalya, Turkey, June 20-23; Rundblad, E., Labunets, V., Astola, J., Egiazarian, K., Smaga, A., Fast fractional Fourier and Hartley transforms (1999) Proc. of the 1999 Finnish Signal Processing Symposium, pp. 291-297. , Oulu, Finland; Labunets, E., Labunets, V., Fast fractional Fourier transforms (1998) Proc. of Eusipco-98, pp. 1757-1760. , Rhodes, Greece, 8-11 Sept; Goldstein, J., (1985) Semigroups of Linear Operators and Applications, , Oxford U. Press, New York; Griffiths, R.B., Consistent Quantum Theory, , http://www.cambridge.org; Candan, C., (1998) The Discrete Fractional Fourier Transform, , M. S. thesis, Bilkent Univ., Ankara, Turkey |