The tensor product of frames

Sampling Theory in Signal and Image Processing

Volumn 7, Issue 1, 2008, Pages 65-76

  Bourouihiya, Abdelkrim ^a  

^a Bldg 142   (United States)

Author keywords

Frames; Hilbert spaces; Riesz bases; Tensor products

Indexed keywords

EID: 39449123600     PISSN: 15306429     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. I. Daubechies and A. Grossmann, Frames in the Bargmann space of entire functions, Comm. Pure Appl. Math., 41, 151-164, 1988.
2. H. Feichtinger and K. Gröchenig. Theory and practice of irregular sampling. In J. Benedetto and M. Frazier, editors, Wavelets: Mathematics and Applications, Studies in Advanced Mathematics, 305-363, CRC Press. Boca Raton, FL, 1994.
3. S. A. Gaal, Linear Analysis and Representation Theory, Springar-Verlag, Berlin, New York, 1973.
4. K. Gröchenig, Foundations of Time-Frequency Analysis, Birkhäuser, Boston, 2001.
5. C. Heil, J. Ramanathan, and P. Topiwala, Singular values of compact pseudodifferential operators, J. Funct. Anal., 150, 426-452, 1997.
6. C. Heil, History and evolution of the density theorem for Gabor frames, J. Fourier Anal. Appl., to appear.
7. S. Jaffard, A density criterion for frames of complex exponentials, Michigan Math. J., 38, 339-348, 1991.
8. n and estimates of the Bergman kernel, J. Funct. Anal., 182, 390-426, 2001.
9. Y. I. Lyubarskiǐ, Frames in the Bargmann space of entire functions and subharmonic functions. In Entire and Subharmonic Functions, 167-180, Amer. Math. Soc., Providence, RI, 1992.
10. T. W. Ma, Banach-Hilbert Spaces, Vector Measures and Group Representations, World Scientific, N.J, 2002.
11. K. Seip and R. Wallstén, Sampling and interpolation in the Bargmann-Fock space II, J. Reine Angew. Math., 429, 107-113, 1992.