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Volumn 128, Issue 4, 2000, Pages 1087-1095

Asymptotic regularity of daubechies' scaling functions

Author keywords

Fourier transform; Scaling function; Sobolov exponent; Wavelet

Indexed keywords


EID: 23044520577     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-99-05251-x     Document Type: Article
Times cited : (5)

References (15)
  • 2
    • 0002118102 scopus 로고
    • Non-separable bidimensional wavelet bases
    • MR 94k:42047
    • A. Cohen and I. Daubechies, Non-separable bidimensional wavelet bases, Rev. Mat. Iberoamericana, 9(1983), 51-137. MR 94k:42047
    • (1983) Rev. Mat. Iberoamericana , vol.9 , pp. 51-137
    • Cohen, A.1    Daubechies, I.2
  • 3
    • 0030502820 scopus 로고    scopus 로고
    • A new method to determine the regularity of refmable functions
    • A. Cohen and I. Daubechies, A new method to determine the regularity of refmable functions, Rev. Mat. Iberoamericana, 12(1996), 527-591.
    • (1996) Rev. Mat. Iberoamericana , vol.12 , pp. 527-591
    • Cohen, A.1    Daubechies, I.2
  • 4
    • 0002894106 scopus 로고    scopus 로고
    • How smooth is the smoothness function in a given refmable space?
    • A. Cohen, I. Daubechies and A. Ron, How smooth is the smoothness function in a given refmable space?, Appl. Comput. Harmonic Anal, 3(1996), 87-89.
    • (1996) Appl. Comput. Harmonic Anal , vol.3 , pp. 87-89
    • Cohen, A.1    Daubechies, I.2    Ron, A.3
  • 7
    • 0012535355 scopus 로고
    • Using Fredholm determinants to estimate the smoothness of refinable functions, in
    • MR 98e:42032
    • I. Daubechies, Using Fredholm determinants to estimate the smoothness of refinable functions, In Approximation Theory VIII, Vol.2, Wavelet and Multilevel Approximation, Edited by C. K. Chui and L. L. Schumaker, World Scientific Press, 1995, pp. 89-122. MR 98e:42032
    • (1995) Approximation Theory VIII, Vol. , vol.2 , pp. 89-122
    • Daubechies, I.1
  • 8
    • 0001301724 scopus 로고
    • Sobolev characterization of solutions of dilation equation
    • MR 93f:42056
    • T. Eirola, Sobolev characterization of solutions of dilation equation, SIAM J. Math. Anal., 23(1992), 1015-1030. MR 93f:42056
    • (1992) SIAM J. Math. Anal. , vol.23 , pp. 1015-1030
    • Eirola, T.1
  • 10
    • 21844502997 scopus 로고
    • Construction et régularité des fonctions d'échelle
    • MR 97j:42015
    • L. Hervé, Construction et régularité des fonctions d'échelle, SIAM J. Math. Anal, 26(1995), 1361-1385. MR 97j:42015
    • (1995) SIAM J. Math. Anal , vol.26 , pp. 1361-1385
    • Hervé, L.1
  • 11
    • 0347327012 scopus 로고
    • p-solution for the two-scale dilation equations
    • MR 96f:39004
    • p-solution for the two-scale dilation equations, SIAM J. Math. Anal, 26(1995), 1018-1046. MR 96f:39004
    • (1995) SIAM J. Math. Anal , vol.26 , pp. 1018-1046
    • Lau, K.S.1    Wang, J.2
  • 12
    • 85084622996 scopus 로고    scopus 로고
    • Compactly supported refinable distribution in Triebel-Lizorkin space and Besov space
    • to appear
    • B. Ma and Q. Sun, Compactly supported refinable distribution in Triebel-Lizorkin space and Besov space, J. Fourier Anal. Appi., to appear.
    • J. Fourier Anal. Appi.
    • Ma, B.1    Sun, Q.2
  • 13
    • 0042275098 scopus 로고
    • Wavelet analysis of refinement equations
    • MR 96f:39009
    • L. F. Villemoes, Wavelet analysis of refinement equations, SIAM J. Math. Anal., 25(1994), 1433-1466. MR 96f:39009
    • (1994) SIAM J. Math. Anal. , vol.25 , pp. 1433-1466
    • Villemoes, L.F.1
  • 14
    • 0026765549 scopus 로고
    • On the regularity of wavelets
    • MR 93f:42058
    • H. Volkmer, On the regularity of wavelets, IEEE Trans. Inform. Theory, 38(1992), 872-876. MR 93f:42058
    • (1992) IEEE Trans. Inform. Theory , vol.38 , pp. 872-876
    • Volkmer, H.1
  • 15
    • 0642270130 scopus 로고
    • Asymptotic regularity of compactly supported wavelets
    • MR 96h:42031
    • H. Volkmer, Asymptotic regularity of compactly supported wavelets, SIAM J. Math. Anal., 26(1995), 1075-1087. MR 96h:42031
    • (1995) SIAM J. Math. Anal. , vol.26 , pp. 1075-1087
    • Volkmer, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.