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Volumn 29, Issue 1, 1998, Pages 266-278

Frames containing a Riesz basis and preservation of this property under perturbations

Author keywords

Frames; Overcompleteness; Perturbations; Riesz bases

Indexed keywords


EID: 0032349917     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141095294250     Document Type: Article
Times cited : (49)

References (16)
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    • Aldroubi, A.1
  • 2
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    • 2 and related spaces
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    • 2 and related spaces, in Wavelets: Mathematics and Applications, J. Benedetto and M. Frazier, eds., CRC Press, Boca Raton, FL, 1993, pp. 97-162.
    • (1993) Wavelets: Mathematics and Applications , pp. 97-162
    • Benedetto, J.1    Walnut, D.2
  • 3
  • 5
    • 0027874461 scopus 로고
    • Frames and the projection method
    • O. CHRISTENSEN, Frames and the projection method, Appl. Comp. Harm. Anal., 1 (1993), pp. 50-53.
    • (1993) Appl. Comp. Harm. Anal. , vol.1 , pp. 50-53
    • Christensen, O.1
  • 6
    • 0030121932 scopus 로고    scopus 로고
    • Frames containing Riesz bases and approximation of the frame coefficients using finite dimensional methods
    • O. CHRISTENSEN, Frames containing Riesz bases and approximation of the frame coefficients using finite dimensional methods, J. Math. Anal. Appl., 199 (1996), pp. 256-270.
    • (1996) J. Math. Anal. Appl. , vol.199 , pp. 256-270
    • Christensen, O.1
  • 7
    • 0001503825 scopus 로고
    • A Paley-Wiener theorem for frames
    • O. CHRISTENSEN, A Paley-Wiener theorem for frames, Proc. Amer. Math. Soc., 123 (1995), pp. 2199-2202.
    • (1995) Proc. Amer. Math. Soc. , vol.123 , pp. 2199-2202
    • Christensen, O.1
  • 8
    • 0031446789 scopus 로고    scopus 로고
    • Perturbation of Banach frames and atomic decompositions
    • O. CHRISTENSEN AND C. HEIL, Perturbation of Banach frames and atomic decompositions, Math. Nach., 185 (1997), pp. 33-47.
    • (1997) Math. Nach. , vol.185 , pp. 33-47
    • Christensen, O.1    Heil, C.2
  • 9
  • 10
    • 0001549336 scopus 로고
    • Pre-frame operators, Besselian frames and near-Riesz bases
    • J. HOLUB, Pre-frame operators, Besselian frames and near-Riesz bases, Proc. Amer. Math. Soc., 122 (1994), pp. 779-785.
    • (1994) Proc. Amer. Math. Soc. , vol.122 , pp. 779-785
    • Holub, J.1
  • 12
    • 0024903928 scopus 로고
    • Continuous and discrete wavelet transforms
    • C. HEIL AND D. WALNUT, Continuous and discrete wavelet transforms, SIAM Rev., 31 (1989), pp. 628-666.
    • (1989) SIAM Rev. , vol.31 , pp. 628-666
    • Heil, C.1    Walnut, D.2
  • 14
    • 0001454791 scopus 로고
    • 2(-π, π)
    • 2(-π, π), J. Funct. Anal., 130 (1995), pp. 131-160.
    • (1995) J. Funct. Anal. , vol.130 , pp. 131-160
    • Seip, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.