On Discrete Frames Associated with Semidirect Products

Journal of Fourier Analysis and Applications

Volumn 7, Issue 2, 2001, Pages 199-206

  Aniello, Paolo ^a   Cassinelli, Gianni ^b   De Vito, Ernesto ^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

Frames; Semidirect product; Square integrable representation

Indexed keywords

EID: 0035737233     PISSN: 10695869     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02510424     Document Type: Article

References (7)

1. Aniello, P., Cassinelli, G., De Vito E., and Levrero, A. (1998). Wavelet transforms and discrete frames associated to semidirect products, J. Math. Phys., 39, 3965-3973.
2. Borel, A. (1963). Compact Clifford-Klein forms of symmetric spaces, Topology, 2, 111-122.
3. Chui, C.K. and Shi, X. (1993). Inequalities of Littlewood-Paley type for frames and wavelets, SIAM J. Math. Anal., 24, 263-277.
4. Daubechies, I. (1990). The wavelet transform, time-frequency localization and signal analysis, IEEE Trans. Inform. Theory, 36, 961-1005.
5. Daubechies, I. (1992). Ten Lectures on Wavelets, SIAM.
6. Gröchenig, K. (1991). Describing Functions: Atomic Decomposition Versus Frames, Mh. Math., 112, 1-41.
7. Gröchenig, K. Private communication.