메뉴 건너뛰기




Volumn 27, Issue 6, 1996, Pages 1770-1790

A nonlinear operator related to scaling functions and wavelets

Author keywords

Scaling functions; Subdivision schemes; The Riesz basis property; Wavelets

Indexed keywords


EID: 0030518834     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141094257198     Document Type: Article
Times cited : (1)

References (28)
  • 4
    • 84974002026 scopus 로고
    • A stability criterion for biorthogonal wavelet bases and their related subband coding scheme
    • A. COHEN AND I. DAUBECHIES, A stability criterion for biorthogonal wavelet bases and their related subband coding scheme. Duke Math. J., 68 (1992), pp. 313-335.
    • (1992) Duke Math. J. , vol.68 , pp. 313-335
    • Cohen, A.1    Daubechies, I.2
  • 5
    • 85033741349 scopus 로고    scopus 로고
    • A new technique to estimate the regularity of a refinable function
    • to appear
    • _, A new technique to estimate the regularity of a refinable function. Rev. Mat. Iberoamericana, to appear.
    • Rev. Mat. Iberoamericana
  • 6
    • 0000186542 scopus 로고
    • Wavelet analysis and signal processing
    • M. B. Ruskai, G. Beylkin, R. Coifman, I. Daubechies, S. Mallat, Y. Meyer, and L. Raphael, eds., Jones and Bartlett, Boston
    • R. R. COIFMAN, Y. MEYER, AND V. WICKERHAUSER, Wavelet analysis and signal processing, in Wavelets and their Applications, M. B. Ruskai, G. Beylkin, R. Coifman, I. Daubechies, S. Mallat, Y. Meyer, and L. Raphael, eds., Jones and Bartlett, Boston, 1992.
    • (1992) Wavelets and Their Applications
    • Coifman, R.R.1    Meyer, Y.2    Wickerhauser, V.3
  • 8
    • 0000712942 scopus 로고
    • Fonction harmonique pour un opérateur de transtion et application
    • J. P. CONZE AND A. RAUGI, Fonction harmonique pour un opérateur de transtion et application, Bull. Soc. Math. France, 118 (1990), pp. 273-310.
    • (1990) Bull. Soc. Math. France , vol.118 , pp. 273-310
    • Conze, J.P.1    Raugi, A.2
  • 9
    • 84990575058 scopus 로고
    • Orthonormal bases of compactly supported wavelets
    • I. DAUBECHIES, Orthonormal bases of compactly supported wavelets, Comm. Pure Appl. Math., 41 (1988), pp. 909-996.
    • (1988) Comm. Pure Appl. Math. , vol.41 , pp. 909-996
    • Daubechies, I.1
  • 10
    • 0003833285 scopus 로고
    • Ten lectures on wavelets
    • Society for Industrial and Applied Mathematics, Philadelphia
    • _, Ten Lectures on Wavelets, CBMS-NSF Series in Applied Mathematics 61, Society for Industrial and Applied Mathematics, Philadelphia, 1992.
    • (1992) CBMS-NSF Series in Applied Mathematics , vol.61
  • 11
    • 21844513031 scopus 로고
    • How does truncation of the mask affect a refinable function?
    • I. DAUBECHIES AND Y. HUANG, How does truncation of the mask affect a refinable function?, Constr. Approx., 11 (1995), pp. 365-380.
    • (1995) Constr. Approx. , vol.11 , pp. 365-380
    • Daubechies, I.1    Huang, Y.2
  • 12
    • 0000364986 scopus 로고
    • Two-scale difference equations I: Existence and global regularity of solutions
    • I. DAUBECHIES AND J. C. LAGARIAS, Two-scale difference equations I: Existence and global regularity of solutions, SIAM J. Math. Anal., 22 (1991), pp. 1388-1410.
    • (1991) SIAM J. Math. Anal. , vol.22 , pp. 1388-1410
    • Daubechies, I.1    Lagarias, J.C.2
  • 13
    • 0000160525 scopus 로고
    • Two-scale difference equations II: Local regularity, infinite products of matrices and fractals
    • _, Two-scale difference equations II: Local regularity, infinite products of matrices and fractals, SIAM J. Math. Anal., 23 (1992), pp. 1031-1079.
    • (1992) SIAM J. Math. Anal. , vol.23 , pp. 1031-1079
  • 14
    • 0000538106 scopus 로고
    • Convergence of cascade algorithms introduced by I. Daubechies
    • S. DURAND, Convergence of cascade algorithms introduced by I. Daubechies, Numer. Algorithms, 4 (1993), pp. 307-322.
    • (1993) Numer. Algorithms , vol.4 , pp. 307-322
    • Durand, S.1
  • 15
    • 0001301724 scopus 로고
    • Sobolev characterization of solutions of dilation equations
    • T. EIROLA, Sobolev characterization of solutions of dilation equations, SIAM J. Math. Anal., 23 (1992), pp. 1015-1030.
    • (1992) SIAM J. Math. Anal. , vol.23 , pp. 1015-1030
    • Eirola, T.1
  • 16
    • 0038979084 scopus 로고
    • Unconditional bases of wavelets for Sobolev spaces
    • G. GRIPENBERG, Unconditional bases of wavelets for Sobolev spaces, SIAM J. Math. Anal., 24 (1994), pp. 1030-1042.
    • (1994) SIAM J. Math. Anal. , vol.24 , pp. 1030-1042
    • Gripenberg, G.1
  • 17
    • 84966210686 scopus 로고
    • Sur un théorème spectral et son application aux noyaux lipchitziens
    • H. HENNION, Sur un théorème spectral et son application aux noyaux lipchitziens, Proc. Amer. Math. Soc., 118 (1993), pp. 627-634.
    • (1993) Proc. Amer. Math. Soc. , vol.118 , pp. 627-634
    • Hennion, H.1
  • 18
    • 21844502997 scopus 로고
    • Construction et régularité des fonctions d'échelle
    • L. HERVÉ, Construction et régularité des fonctions d'échelle, SIAM J. Math. Anal., 26 (1995), pp. 1361-1385.
    • (1995) SIAM J. Math. Anal. , vol.26 , pp. 1361-1385
    • Hervé, L.1
  • 20
    • 0000471633 scopus 로고
    • Régularité et conditions de bases de Riesz pour les fonctions d'échelle
    • _, Régularité et conditions de bases de Riesz pour les fonctions d'échelle, C. R. Acad. Sci. Paris Ser. I. Math., 315 (1992), pp. 1029-1032.
    • (1992) C. R. Acad. Sci. Paris Ser. I. Math. , vol.315 , pp. 1029-1032
  • 22
    • 85033739074 scopus 로고
    • Ph.D. thesis, Department of Mathematics, Rutgers University, New Brunswick, NJ
    • Y. HUANG, A nonlinear operator related to refinable functions, Ph.D. thesis, Department of Mathematics, Rutgers University, New Brunswick, NJ, 1995.
    • (1995) A Nonlinear Operator Related to Refinable Functions
    • Huang, Y.1
  • 23
    • 0041162728 scopus 로고
    • Special issue in wavelets
    • Special Issue in Wavelets, IEEE Trans. Inform. Theory, 38 (1992).
    • (1992) IEEE Trans. Inform. Theory , vol.38
  • 24
    • 0039383544 scopus 로고
    • Special issue in wavelets
    • Special Issue in Wavelets, IEEE Trans. Signal. Process., 41 (1993).
    • (1993) IEEE Trans. Signal. Process. , vol.41
  • 25
    • 0009652870 scopus 로고
    • Necessary and sufficient conditions for constructing orthonormal wavelets
    • W. LAWTON, Necessary and sufficient conditions for constructing orthonormal wavelets, J. Math. Phys., 32 (1991), pp. 57-61.
    • (1991) J. Math. Phys. , vol.32 , pp. 57-61
    • Lawton, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.