Geodesic
Relation between generalized frames
Matematičeskoe modelirovanie, Tome 14 (2002) no. 5, pp. 31-34 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper studies generalized frames $h=\{h_m\}_{m\in M}$ defined in a Hilbert space $H$ and indexed by general measure space $(M,S,\mu)$. The paper studies he behaviour of such frames under the transformation of H into itself by bounded linear transformations. It also studies the redundancy of generalized frames. 
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M. A. Dehghan; M. Radjabalipour. Relation between generalized frames. Matematičeskoe modelirovanie, Tome 14 (2002) no. 5, pp. 31-34. http://geodesic.mathdoc.fr/item/MM_2002_14_5_a3/

[1] Aldroubi A., “Portraits of frames”, Proc. Amer. Math. Soc., 123 (1995), 1661–1668 | DOI | MR | Zbl

[2] Askari-Hemmat A., Dehghan M. A., Radjabalipour M., “Generalized frames and their linear independence”, Proc. Amer. Math., 129 (2001), 1143–1147 | DOI | MR | Zbl

[3] Chui C. K., An Introduction to Wavelets, Academic Press, New York, 1992 | MR

[4] Daubechies I., Ten Lectures on Wavelets, Soc. Ind. Appl. Math. Philadelphia, Pennsylvania, 1992 | MR | Zbl

[5] Hernandez E., Weiss G. A., A first Course on Wavelets, CRC Press, 1996 | MR | Zbl

[6] Kaiser G., Generalized wavelet transforms. Part I: The window $X$-ray transforms, technical Reports Seris No 18, Mathematics Department University of Lowell

[7] Kaiser G., A Friendly Guide to Wavelets, second printing, Birkhauser, 1995 | MR