Frames: A maximum entropy statistical estimate of the inverse problem

Journal of Mathematical Physics

Volumn 38, Issue 9, 1997, Pages 4863-4871

  Rebollo Neira, L ^a   Fernandez Rubio, J ^a   Plastino, A ^b  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^b UNIVERSIDAD NACIONAL DE LA PLATA   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031526301     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532130     Document Type: Article

References (16)

1. R. J. Duffin and A. C. Shaffer, "A Class of Nonharmonic Fourier Series," Trans. Am. Math. Soc. 72, 341-366 (1952).
2. R. M. Young, An introduction to Nonharmonic Fourier Series (Academic, New York, 1980).
3. J. R. Klauder and S. K. Skagerstam, Coherent States (World Scientific, Singapore, 1985).
4. I. Daubechies, Ten Lectures on Wavelets (CBMS-NSF, SIAM, Philadelphia, 1992).
5. I. Daubechies, "The Wavelets Transform, Time Frequency Localization and Signal Analysis," IEEE Trans. Inform. Theory 36, 961-1005 (1990).
6. C. Heil and D. Walnut, "Continuous and discrete wavelet transforms," SIAM Rev. 31, 628-666 (1989).
7. S. T. Ali, J. P. Antoine, and J. P. Gazeau, "Square integrability of group representation on homogeneous spaces. II. Coherent and quasi-coherent states. The case of the Poincaré group," Ann. Inst. Henri Poincaré 55, 857-890 (1991).
8. S. T. Ali, J. P. Antoine, and J. P. Gazeau, "Continuous Frames in Hubert Space," Ann. Phys. 222, 1-37 (1993).
9. G. Kaiser, Quantum Physics, Relativity and Complex Spacetime: Towards a New Synthesis (North-Holland, Amsterdam, 1990).
10. G. Kaiser, A Friendly Guide to Wavelets (Birkhäuser, Berlin, 1994).
11. S. T. Ali, J. P. Antoine, and J. P. Gazeau, "Square integrability of group representation on homogeneous spaces. I. Reproducing triples and frames," Ann Inst. Henri Poincaré 55, 829-855 (1991).
12. P. A. M. Dirac, The Principles of Quantum Mechanics (Oxford U.P., Oxford, 1958).
13. E. T. Jaynes, "Information Theory and Statistical Mechanics," Phys. Rev. 106, 620-630 (1957).
14. E. T. Jaynes, "Where do we stand maximum entropy?," in The Maximum Entropy Formalism, edited by R. Levine and M. Tribus (MIT, Boston, 1979).
15. A. Papoulis, Probability, Random Variables and Stochastich Processes (McGraw-Hill, New York, 1991).
16. K. Grochening, "Acceleration of the Frame Algorithm," IEEE Trans. Signal Process. 41 (12), 3331-3340 (1993).