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Volumn 6, Issue 5, 2000, Pages 483-502

Accuracy of several multidimensional refinable distributions

Author keywords

Accuracy; Dilation equation; Dilation matrix; Multidimensional wavelets; Multiwavelets; Refinable distributions; Refinable functions; Refinement equation; Shift invariant spaces; Wavelets

Indexed keywords


EID: 23044522973     PISSN: 10695869     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02511542     Document Type: Article
Times cited : (15)

References (16)
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    • De Boor, C.1
  • 2
    • 84963001309 scopus 로고
    • The exponentials in the span of the integer translates of a compactly supported function
    • de Boor, C. and Ron, A. (1992). The exponentials in the span of the integer translates of a compactly supported function, J. London Math. Soc., 45, 519-535.
    • (1992) J. London Math. Soc. , vol.45 , pp. 519-535
    • De Boor, C.1    Ron, A.2
  • 4
    • 0003030394 scopus 로고    scopus 로고
    • Accuracy of lattice translates of several multidimensional refinable functions
    • Cabrelli, C., Heil, C., and Molter, U. (1998). Accuracy of lattice translates of several multidimensional refinable functions, J. Approx. Th., 95, 5-52.
    • (1998) J. Approx. Th. , vol.95 , pp. 5-52
    • Cabrelli, C.1    Heil, C.2    Molter, U.3
  • 8
    • 0032344506 scopus 로고    scopus 로고
    • Multivariate refinement equations and subdivision schemes
    • Han, B. and Jia, R.-Q. (1998). Multivariate refinement equations and subdivision schemes, SIAM J. Math. Anal., 29, 1177-1199.
    • (1998) SIAM J. Math. Anal. , vol.29 , pp. 1177-1199
    • Han, B.1    Jia, R.-Q.2
  • 9
    • 0030526693 scopus 로고    scopus 로고
    • Approximation by translates of refinable functions
    • Heil, C., Strang, G., and Strela, V. (1996). Approximation by translates of refinable functions, Numerische Math., 73, 75-94.
    • (1996) Numerische Math. , vol.73 , pp. 75-94
    • Heil, C.1    Strang, G.2    Strela, V.3
  • 10
    • 0001265433 scopus 로고
    • Fractals and self-similarity
    • Hutchinson, J. (1981). Fractals and self-similarity, Indiana Univ. Math. J., 30, 713-747.
    • (1981) Indiana Univ. Math. J. , vol.30 , pp. 713-747
    • Hutchinson, J.1
  • 11
    • 0009209668 scopus 로고    scopus 로고
    • The subdivision and transition operators associated with a refinement equation
    • Fontanella, F., Jetter, K., and Laurent, P.-J., Eds., World Scientific, River Edge, NJ
    • Jia, R.-Q. (1996). The subdivision and transition operators associated with a refinement equation, Advanced Topics in Multivariate Approximation, (Montecatini Terme, 1995), Fontanella, F., Jetter, K., and Laurent, P.-J., Eds., World Scientific, River Edge, NJ, 139-154.
    • (1996) Advanced Topics in Multivariate Approximation, (Montecatini Terme, 1995) , pp. 139-154
    • Jia, R.-Q.1
  • 12
    • 0032388122 scopus 로고    scopus 로고
    • Approximation properties of multivariate wavelets
    • Jia, R.-Q. (1998). Approximation properties of multivariate wavelets, Math. Comp., 67, 647-665.
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    • Jia, R.-Q.1
  • 13
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    • Multivariate matrix refinable functions with arbitrary matrix dilation
    • Jiang, Q. (1999). Multivariate matrix refinable functions with arbitrary matrix dilation, Trans. Am. Math. Soc., 351, 2407-2438.
    • (1999) Trans. Am. Math. Soc. , vol.351 , pp. 2407-2438
    • Jiang, Q.1
  • 15
    • 0031515609 scopus 로고    scopus 로고
    • Approximation order provided by refinable function vectors
    • Plonka, G. (1997). Approximation order provided by refinable function vectors, Constr. Approx., 13, 221-244.
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    • Plonka, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.