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Volumn 18, Issue 2-4, 2003, Pages 93-116

Deficits and excesses of frames

Author keywords

Bessel sequences; Deficit; Excess; Frames; Gabor systems; Riesz bases; Wavelets; Weyl Heisenberg systems

Indexed keywords


EID: 0037212223     PISSN: 10197168     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021360227672     Document Type: Article
Times cited : (92)

References (14)
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    • Casazza, P.G.1
  • 3
    • 0032349917 scopus 로고    scopus 로고
    • Frames containing a Riesz basis and preservation of this property under perturbations
    • P.G. Casazza and O. Christensen, Frames containing a Riesz basis and preservation of this property under perturbations, SIAM J. Math. Anal. 29 (1998) 266-278.
    • (1998) SIAM J. Math. Anal. , vol.29 , pp. 266-278
    • Casazza, P.G.1    Christensen, O.2
  • 8
    • 0024903928 scopus 로고
    • Continuous and discrete wavelet transforms
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    • (1989) SIAM Rev. , vol.31 , pp. 628-666
    • Heil, C.E.1    Walnut, D.F.2
  • 9
    • 0001549336 scopus 로고
    • Pre-frame operators, Besselian frames, and near-Riesz bases in Hilbert spaces
    • J.R. Holub, Pre-frame operators, Besselian frames, and near-Riesz bases in Hilbert spaces, Proc. Amer. Math. Soc. 122 (1994) 779-785.
    • (1994) Proc. Amer. Math. Soc. , vol.122 , pp. 779-785
    • Holub, J.R.1
  • 10
    • 36749109528 scopus 로고
    • Bargmann transform, Zak transform, and coherent states
    • A.J.E.M. Janssen, Bargmann transform, Zak transform, and coherent states, J. Math. Phys. 23 (1982) 720-731.
    • (1982) J. Math. Phys. , vol.23 , pp. 720-731
    • Janssen, A.J.E.M.1
  • 11
    • 0345771684 scopus 로고    scopus 로고
    • Convergence and summability of Gabor expansions at the Nyquist density
    • Y.I. Lyubarskii and K. Seip, Convergence and summability of Gabor expansions at the Nyquist density, J. Fourier Anal. Appl. 7 (1999) 127-157.
    • (1999) J. Fourier Anal. Appl. , vol.7 , pp. 127-157
    • Lyubarskii, Y.I.1    Seip, K.2
  • 12
    • 1542451924 scopus 로고
    • On the completeness of a system of coherent states
    • A.M. Perelomov, On the completeness of a system of coherent states (English translation), Theoret. Math. Phys. 6 (1971) 156-164.
    • (1971) Theoret. Math. Phys. , vol.6 , pp. 156-164
    • Perelomov, A.M.1
  • 13
    • 0000295649 scopus 로고
    • Von Neumann algebras associated with pairs of lattices in Lie groups
    • M. Rieffel, Von Neumann algebras associated with pairs of lattices in Lie groups, Math. Ann. 257 (1981) 403-418.
    • (1981) Math. Ann. , vol.257 , pp. 403-418
    • Rieffel, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.