Coherent state lattices and square integrability of representations

Journal of Physics A: Mathematical and General

Volumn 36, Issue 47, 2003, Pages 11817-11835

  Hohouéto, Amétépé Lionel ^a   Thirulagasanthar, K ^a   Ali, S Twareque ^a   Antoine, Jean Pierre ^b  

^a Gina Cody School of Engineering and Computer Science   (Canada)

^b UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0345149768     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/36/47/009     Document Type: Article

References (15)

1. Aniello P, Cassinelli G, De Vito E and Levrero A 1998 Wavelet transforms and discrete frames associated to semi-direct products J. Math. Phys. 39 3965-73
2. Ali S T, Antoine J-P and Gazeau J-P 2000 Coherent States, Wavelets and Their Generalizations (New York: Springer)
3. Aniello P, Cassinelli G, De Vito E and Levrero A 2001 On discrete frames associated with semi-direct products J. Fourier Anal. Appl. 7 199-206
4. Antoine J-P and Hohouéto A L 2003 Discrete frames of Poincaré coherent states in 1+3 dimensions J. Fourier Anal. Appl. 9 141-72
5. Raghunathan M S 1982 Discrete Subgroups of Lie Groups (Berlin: Springer)
6. Bernier D and Taylor K F 1996 Wavelets from square-integrable representations SIAM J. Math. Anal. 27 594-608
7. Feichtinger H G and Gröchenig K H 1989 Banach spaces related to integrable group representations and their atomic decompositions J. Fund. Anal 86 307-40
8. Bohnké G 1991 Treillis d'ondelettes associés aux groupes de Lorentz Ann. Inst. Henri Poincaré 54 245-59
9. Hohouéto A L 1999 On some discrete relativistic frames PhD Thesis Univ. Nat. du Bénin, Abomey-Calavi
10. Gilmore R 1974 On properties of coherent states Rev. Mex. Fis. 23 143-87
11. Perelomov A M 1986 Generalized Coherent States and Their Applications (Berlin: Springer)
12. De Bièvre S 1989 Coherent states over symplectic homogeneous spaces J. Math. Phys. 30 1401-7
13. Onishchick A L 1993 Lie Groups and Lie Algebras I (Berlin: Springer)
14. Onishchick A L 2000 Lie Groups and Lie Algebras II (Berlin: Springer)
15. Papoulis A 1977 Signal Analysis (New York: McGraw-Hill)