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Volumn 98, Issue 2, 1999, Pages 248-270

Stability and Independence for Multivariate Refinable Distributions

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EID: 0000240997     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.1998.3255     Document Type: Article
Times cited : (6)

References (15)
  • 1
    • 0001606268 scopus 로고
    • Approximation by smooth multivariate splines
    • de Boor C., DeVore R. Approximation by smooth multivariate splines. Trans. Amer. Math. Soc. 276:1983;775-788.
    • (1983) Trans. Amer. Math. Soc. , vol.276 , pp. 775-788
    • De Boor, C.1    Devore, R.2
  • 2
    • 51249180153 scopus 로고
    • B-splines from parallelepipeds
    • de Boor C., Höllig K. B-splines from parallelepipeds. J. Analyse Math. 42:1982-1983;99-115.
    • (1982) J. Analyse Math. , vol.42 , pp. 99-115
    • De Boor, C.1    Höllig, K.2
  • 6
    • 0011397244 scopus 로고
    • Linear independence of translates of a box spline
    • Jia R. Q. Linear independence of translates of a box spline. J. Approx. Theory. 40:1984;158-160.
    • (1984) J. Approx. Theory , vol.40 , pp. 158-160
    • Jia, R.Q.1
  • 7
    • 0002888350 scopus 로고
    • Using the refinement equations for the construction of pre-wavelets. II. Powers of two
    • P.-J. Laurent, A. Le Méhauté, & L. L. Schumaker. New York: Academic Press
    • Jia R. Q., Micchelli C. A. Using the refinement equations for the construction of pre-wavelets. II. Powers of two. Laurent P.-J., Le Méhauté A., Schumaker L. L. Curves and Surfaces. 1991;209-246 Academic Press, New York.
    • (1991) Curves and Surfaces , pp. 209-246
    • Jia, R.Q.1    Micchelli, C.A.2
  • 8
    • 84966226919 scopus 로고
    • Stability and linear independence associated with wavelet decomposition
    • Jia R.-Q., Wang J. Stability and linear independence associated with wavelet decomposition. Proc. Amer. Math. Soc. 117:1993;1115-1124.
    • (1993) Proc. Amer. Math. Soc. , vol.117 , pp. 1115-1124
    • Jia, R.-Q.1    Wang, J.2
  • 9
    • 0031491554 scopus 로고    scopus 로고
    • Stability and orthonormality of multivariate refinable functions
    • Lawton W., Lee S. L., Shen Z. Stability and orthonormality of multivariate refinable functions. SIAM J. Math. Anal. 28:1997;999-1014.
    • (1997) SIAM J. Math. Anal. , vol.28 , pp. 999-1014
    • Lawton, W.1    Lee, S.L.2    Shen, Z.3
  • 12
    • 0001614351 scopus 로고
    • A necessary and sufficient condition for the liner independence of the integer translates of a compactly supported distribution
    • Ron A. A necessary and sufficient condition for the liner independence of the integer translates of a compactly supported distribution. Constr. Approx. 5:1989;297-308.
    • (1989) Constr. Approx. , vol.5 , pp. 297-308
    • Ron, A.1
  • 15
    • 0345904282 scopus 로고    scopus 로고
    • Some characterizations for box spline wavelets and linear diophantine equations
    • in press
    • D.-X. Zhou, Some characterizations for box spline wavelets and linear diophantine equations, Rocky Mountain J. Math, in press.
    • Rocky Mountain J. Math
    • Zhou, D.-X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.