Fractional convolution

Journal of the Australian Mathematical Society Series B-Applied Mathematics

Volumn 40, Issue 2, 1998, Pages 257-265

  Mustard, David ^a  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0043126312     PISSN: 03342700     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0334270000012509     Document Type: Article

References (11)

1. V. Bargmann, "On a Hilbert space of analytic functions and an associated integral transform. Part I", Comm. Pure Appl. Math. 14 (1961) 187-214.
2. T. A. C. M. Claasen and W.F.G. Mecklenbräuker, "The Wigner distribution - a tool for time-frequency signal analysis III", Philips J. Res. 35 (1980) 372-389.
3. L. Cohen, "Generalized phase-space distribution functions", J. of Math. Phys. 7 (1966) 781-786.
4. E. U. Condon, "Immersion of the Fourier transform in a continuous group of functional transformations", Proc. Nat. Acad. Sci.USA 23 (1937) 158-164.
5. S. R. Deans, The Radon transform and some of its applications (John Wiley, New York, 1983).
6. H. Dym and H.P. McKean, Fourier Series and Integrals (Academic Press, New York, 1972).
7. G. B. Folland, "Harmonic analysis in phase space", in Annals of Mathematics Studies 122, (Princeton Univ. Press, Princeton, 1989).
8. D. Mustard, "The fractional Fourier transform and the Wigner distribution", J. Austral. Math. Soc. Ser. B 38 (1996) 209-219.
9. D. Mustard, "Lie group imbeddings of the Fourier transform and a new family of uncertainty principles", Proceedings of the Centre for Mathematical Analysis 16 (1987) 211-222.
10. A. Papoulis, Signal Analysis (McGraw-Hill, New York, 1977).
11. E. Wigner, "On the quantum correction for thermodynamic equilibrium", Phys. Rev. 40 (1932) 749-759.