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Volumn 5, Issue 6, 1999, Pages 589-597

Multivariate Nonhomogeneous Refinement Equations

Author keywords

Multivariate; Nonhomogeneous; Refinement

Indexed keywords


EID: 0033273051     PISSN: 10695869     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01257193     Document Type: Article
Times cited : (9)

References (16)
  • 2
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    • Nonhomogeneous refinement equations
    • Aldroubi and Lin, Eds., Contemporary Mathematics Series
    • Dinsenbacher, T. and Hardin, D. (1997). Nonhomogeneous refinement equations, Wavelets, Multiwavelets and Their Applications, Aldroubi and Lin, Eds., Contemporary Mathematics Series.
    • (1997) Wavelets, Multiwavelets and Their Applications
    • Dinsenbacher, T.1    Hardin, D.2
  • 3
    • 0000364986 scopus 로고
    • Two-scale difference equations; I. Existence and global regularity of solutions
    • Daubechies, I. and Lagarias, J. (1991). Two-scale difference equations; I. Existence and global regularity of solutions, Siam. J. Math. Anal., 22(5), 1388-1410.
    • (1991) Siam. J. Math. Anal. , vol.22 , Issue.5 , pp. 1388-1410
    • Daubechies, I.1    Lagarias, J.2
  • 4
    • 0001544864 scopus 로고
    • Fractal functions and wavelet expansions based on several scaling functions
    • Geronimo, J., Hardin, D., and Massopust, P. (1994). Fractal functions and wavelet expansions based on several scaling functions, J. Approx. Th., 78(3), 373-401.
    • (1994) J. Approx. Th. , vol.78 , Issue.3 , pp. 373-401
    • Geronimo, J.1    Hardin, D.2    Massopust, P.3
  • 5
    • 0037822533 scopus 로고
    • (based on lectures by L. Schwartz), University of Toronto Press, Toronto
    • Halperin, I. (1952). Introduction to the Theory of Distributions, (based on lectures by L. Schwartz), University of Toronto Press, Toronto.
    • (1952) Introduction to the Theory of Distributions
    • Halperin, I.1
  • 6
    • 1842484437 scopus 로고    scopus 로고
    • Matrix refinement equations: Existence and uniqueness
    • Heil, C. and Colella, D. (1996). Matrix refinement equations: existence and uniqueness, J. Fourier Anal. Appl., 2, 363-377.
    • (1996) J. Fourier Anal. Appl. , vol.2 , pp. 363-377
    • Heil, C.1    Colella, D.2
  • 8
    • 0001175082 scopus 로고
    • Refinable shift-invariant spaces: From splines to wavelets
    • Jia, R. (1995). Refinable shift-invariant spaces: from splines to wavelets, Approx. Th., VIII(2), 179-208.
    • (1995) Approx. Th. , vol.8 , Issue.2 , pp. 179-208
    • Jia, R.1
  • 10
    • 0031372974 scopus 로고    scopus 로고
    • Approximation by multiple refinable functions
    • Jia, R., Riemenschneider, S., and Zhou, D. (1997). Approximation by multiple refinable functions, Can. J. Math., 49, 944-962.
    • (1997) Can. J. Math. , vol.49 , pp. 944-962
    • Jia, R.1    Riemenschneider, S.2    Zhou, D.3
  • 11
    • 85033889641 scopus 로고    scopus 로고
    • On existence and weak stability of matrix refinable functions
    • to appear
    • Jiang, Q. and Shen, Z. On existence and weak stability of matrix refinable functions, to appear, Constr. Approx.
    • Constr. Approx.
    • Jiang, Q.1    Shen, Z.2
  • 13
    • 0032338133 scopus 로고    scopus 로고
    • Refinable function vectors
    • Shen, Z. (1998). Refinable function vectors, SIAM J. Math. Anal., 29, 235-250.
    • (1998) SIAM J. Math. Anal. , vol.29 , pp. 235-250
    • Shen, Z.1
  • 14
    • 0032283560 scopus 로고    scopus 로고
    • Inhomogeneous refinement equations
    • Strang, G. and Zhou, D. (1998). Inhomogeneous refinement equations, J. Fourier Anal. Appl., 4, 733-747.
    • (1998) J. Fourier Anal. Appl. , vol.4 , pp. 733-747
    • Strang, G.1    Zhou, D.2
  • 16
    • 0031447179 scopus 로고    scopus 로고
    • Existence of multiple refinable distributions
    • Zhou, D. (1997). Existence of multiple refinable distributions, Michigan Math. J., 44, 317-329.
    • (1997) Michigan Math. J. , vol.44 , pp. 317-329
    • Zhou, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.