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Volumn 29, Issue 5, 1998, Pages 1177-1199

Multivariate refinement equations and convergence of subdivision schemes

Author keywords

Joint spectral radii; Refinement equations; Subdivision schemes; Wavelets

Indexed keywords


EID: 0032344506     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141097294032     Document Type: Article
Times cited : (151)

References (13)
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    • Deslauriers, G.1    Dubois, J.2    Dubuc, S.3
  • 5
    • 0040967838 scopus 로고
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    • L. L. Schumaker and G. Webb, eds., 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, L. L. Schumaker and G. Webb, eds., 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
  • 7
    • 0003106786 scopus 로고
    • Approximation by multiinteger translates of functions having global support
    • R. Q. JIA AND J. J. LEI, Approximation by multiinteger translates of functions having global support, J. Approx. Theory, 72 (1993), pp. 2-23.
    • (1993) J. Approx. Theory , vol.72 , pp. 2-23
    • Jia, R.Q.1    Lei, J.J.2
  • 8
    • 84976129526 scopus 로고
    • On linear independence of integer translates of a finite number of functions
    • R. Q. JIA AND C. A. MICCHELLI, On linear independence of integer translates of a finite number of functions, Proc. Edinburgh Math. Soc., 36 (1992), pp. 69-85.
    • (1992) Proc. Edinburgh Math. Soc. , vol.36 , pp. 69-85
    • Jia, R.Q.1    Micchelli, C.A.2
  • 9
    • 0009266475 scopus 로고
    • Using the refinement equation for the construction of pre-wavelets V: Extensibility of trigonometric polynomials
    • R. Q. JIA AND C. A. MICCHELLI, Using the refinement equation for the construction of pre-wavelets V: Extensibility of trigonometric polynomials, Computing, 48 (1992), pp. 61-72.
    • (1992) Computing , vol.48 , pp. 61-72
    • Jia, R.Q.1    Micchelli, C.A.2
  • 12
    • 0000719845 scopus 로고
    • A note on the joint spectral radius
    • G.-C. ROTA AND W. G. STRANG, A note on the joint spectral radius, Indag. Math., 22 (1960), pp. 379-381.
    • (1960) Indag. Math. , vol.22 , pp. 379-381
    • Rota, G.-C.1    Strang, W.G.2
  • 13
    • 0028392719 scopus 로고
    • Continuity of nonseparable quincunx wavelets
    • L. F. VILLEMOES, Continuity of nonseparable quincunx wavelets, Appl. Comput. Harmon. Anal., 1 (1994), pp. 180-187.
    • (1994) Appl. Comput. Harmon. Anal. , vol.1 , pp. 180-187
    • Villemoes, L.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.