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Volumn 8, Issue 3, 1998, Pages 221-247

Symmetric orthonormal scaling functions and wavelets with dilation factor 4

Author keywords

Orthonormal scaling function; Smoothness; Symmetry; Wavelets

Indexed keywords


EID: 22044433526     PISSN: 10197168     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1018948314471     Document Type: Article
Times cited : (60)

References (15)
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    • Boman, J.1
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    • C.K. Chui and J.A. Lian, Construction of compactly supported symmetric and antisymmetric orthonormal wavelets with scale = 3, Appl. Comput. Harmonic Anal. 2 (1995) 21-51.
    • (1995) Appl. Comput. Harmonic Anal. , vol.2 , pp. 21-51
    • Chui, C.K.1    Lian, J.A.2
  • 4
    • 0345469650 scopus 로고
    • Orthonormal bases of compactly supported wavelets: III. Better frequency resolution
    • A. Cohen and I. Daubechies, Orthonormal bases of compactly supported wavelets: III. Better frequency resolution, SIAM J. Math. Anal. 24 (1993) 520-527.
    • (1993) SIAM J. Math. Anal. , vol.24 , pp. 520-527
    • Cohen, A.1    Daubechies, I.2
  • 6
    • 84990575058 scopus 로고
    • Orthonormal bases of compactly supported wavelets
    • I. Daubechies, Orthonormal bases of compactly supported wavelets, Comm. Pure Appl. Math. 41 (1988) 909-996.
    • (1988) Comm. Pure Appl. Math. , vol.41 , pp. 909-996
    • Daubechies, I.1
  • 8
    • 0000160525 scopus 로고
    • Two-scale difference equations: II. Local regularity, infinite products of matrices and fractals
    • I. Daubechies and J.C. Lagarias, Two-scale difference equations: II. Local regularity, infinite products of matrices and fractals, SIAM J. Math. Anal. 23 (1992) 1031-1079.
    • (1992) SIAM J. Math. Anal. , vol.23 , pp. 1031-1079
    • Daubechies, I.1    Lagarias, J.C.2
  • 10
    • 38249036972 scopus 로고
    • Moduli of smoothness using discrete data
    • Z. Ditzian, Moduli of smoothness using discrete data, J. Approx. Theory 49 (1987) 115-129.
    • (1987) J. Approx. Theory , vol.49 , pp. 115-129
    • Ditzian, Z.1
  • 11
    • 0040967838 scopus 로고
    • Spectral radius formulas for subdivision operators
    • eds. L.L. Schumaker and G. Webb Academic Press, New York
    • T.N.T. Goodman, C.A. Micchelli and J.D. Ward, Spectral radius formulas for subdivision operators, in: Recent Advances in Wavelet Analysis, eds. L.L. Schumaker and G. Webb (Academic Press, New York, 1994) pp. 335-360.
    • (1994) Recent Advances in Wavelet Analysis , pp. 335-360
    • Goodman, T.N.T.1    Micchelli, C.A.2    Ward, J.D.3
  • 12
    • 27144550976 scopus 로고
    • Multivariate refinement equations and convergence of subdivision schemes
    • to appear
    • B. Han and R.-Q. Jia, Multivariate refinement equations and convergence of subdivision schemes, SIAM J. Math. Anal. (1995, to appear).
    • (1995) SIAM J. Math. Anal.
    • Han, B.1    Jia, R.-Q.2
  • 15
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    • Characterization of smoothness of multivariate refinable functions in Sobolev spaces
    • to appear
    • R.-Q. Jia, Characterization of smoothness of multivariate refinable functions in Sobolev spaces, Trans. Amer. Math. Soc. (1996, to appear).
    • (1996) Trans. Amer. Math. Soc.
    • Jia, R.-Q.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.