Wavelet transforms and discrete frames associated to semidirect products

Journal of Mathematical Physics

Volumn 39, Issue 8, 1998, Pages 3965-3973

  Aniello, Paolo ^a   Cassinelli, Gianni ^a   De Vito, Ernesto ^b,c   Levrero, Alberto ^a  

^a UNIVERSITY OF GENOA   (Italy)

^b UNIVERSITY OF MODENA AND REGGIO EMILIA   (Italy)

^c INFN SEZIONE DI GENOVA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032380062     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532479     Document Type: Article

References (13)

1. A. Grossmann and J. Morlet, SIAM (Soc. Ind. Appl. Math.) J. Math. Anal. 15, 723 (1984).
2. See, for example, I. Daubechies, Ten Lectures on Wavelets (SIAM 1992) and references therein.
3. C. E. Heil and D. F. Walnut, SIAM (Soc. Ind. Appl. Math.) Rev. 31, 628 (1989).
4. D. Bernier and K. F. Taylor, SIAM (Soc. Ind. Appl. Math.) J. Math. Anal. 27, 594 (1996).
5. H. Feichtinger and K. Grochenig, J. Funct. Anal. 86, 307 (1989).
6. H. Führ, J. Math. Phys. 37, 6353 (1996).
7. R. Murenzi, in Wavelets: Time-Frequency Methods ana Phase Space (Proc. Marseille 1987), edited by J. M. Combes, A. Grossmann, and P. Tchamitchian (Springer-Verlag, New York, 1989).
8. M. Duflo and C. C. Moore, J. Funct. Anal. 21, 209 (1976).
9. G. W. Mackey, Ann. Math. 55, 101 (1952).
10. A. Kleppner and R. L. Lipsman, Ann. Sci. École Norm. Sup. 5, 459 (1972).
11. P. Aniello, G. Cassinelli, E. De Vito, and A. Levrero, to appear in Rev. Math. Phys. 10 (1998).
12. V. S. Varadarajan, Geometry of Quantum Theory, 2nd ed. (Springer-Verlag, New York, 1985).
13. A. Borel, Topology 2, 111 (1963).