메뉴 건너뛰기




Volumn 6, Issue 2, 2000, Pages 153-170

Orthogonality criteria for compactly supported refinable functions and refinable function vectors

Author keywords

Multiwavelet; Orthogonal refinable function; Orthogonal refinable function vector; Orthogonality criteria; Wavelet

Indexed keywords


EID: 23044517675     PISSN: 10695869     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02510658     Document Type: Article
Times cited : (4)

References (34)
  • 2
    • 0347766996 scopus 로고    scopus 로고
    • Fonctions harmoniques pour un opérateur de transition en dimesion > 1
    • Cerveau, D., Conze, J.P., and Raugi, A. (1996). Fonctions harmoniques pour un opérateur de transition en dimesion > 1, Bol. Soc. Bras. Mat., 27, 1-26.
    • (1996) Bol. Soc. Bras. Mat. , vol.27 , pp. 1-26
    • Cerveau, D.1    Conze, J.P.2    Raugi, A.3
  • 3
    • 84983630509 scopus 로고
    • Ondelettes, analyses multirésolutions et filtres miniers em quadrature
    • Cohen, A. (1990). Ondelettes, analyses multirésolutions et filtres miniers em quadrature, Ann. Inst. Poincaré, 7, 439-459.
    • (1990) Ann. Inst. Poincaré , vol.7 , pp. 439-459
    • Cohen, A.1
  • 6
    • 21144482427 scopus 로고
    • An arithmetic characterisation of conjugate quadrature filters associated to orthonormal wavelet bases
    • Cohen, A. and Sun, Q. (1993). An arithmetic characterisation of conjugate quadrature filters associated to orthonormal wavelet bases, SIAM J. Math. Anal., 24, 1355-1360.
    • (1993) SIAM J. Math. Anal. , vol.24 , pp. 1355-1360
    • Cohen, A.1    Sun, Q.2
  • 8
    • 0000712942 scopus 로고
    • Fonctions harmoniques pour un operateur de transition et applications
    • Conze, J.P. and Raugi, A. (1990). Fonctions harmoniques pour un operateur de transition et applications, Bull. Soc. Math. France, 118, 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
    • Daubechies, I. (1988). Orthonormal bases of compactly supported wavelets, Comm. PureAppl. Math., 41, 909-996.
    • (1988) Comm. PureAppl. Math. , vol.41 , pp. 909-996
    • Daubechies, I.1
  • 11
    • 0000364986 scopus 로고
    • Two-scale difference equations I: Existence and global regularity of solutions
    • Daubechies, I. and Lagarias, J.C. (1991). Two-scale difference equations I: existence and global regularity of solutions, SIAM J. Appl. Math., 22, 1388-1410.
    • (1991) SIAM J. Appl. Math. , vol.22 , pp. 1388-1410
    • Daubechies, I.1    Lagarias, J.C.2
  • 12
    • 0030560155 scopus 로고    scopus 로고
    • Construction of orthogonal wavelets using fractal interpolation functions
    • Donovan, G., Geronimo, J., Hardin, D., and Massopust, P. (1996). Construction of orthogonal wavelets using fractal interpolation functions, SIAM J. Math. Anal., 27, 1158-1192.
    • (1996) SIAM J. Math. Anal. , vol.27 , pp. 1158-1192
    • Donovan, G.1    Geronimo, J.2    Hardin, D.3    Massopust, P.4
  • 13
    • 0011253889 scopus 로고    scopus 로고
    • Haar-type multiwavelet bases and self-affine multi-tiles
    • Flaherty, T. and Wang, Y. (1999). Haar-type multiwavelet bases and self-affine multi-tiles, Asian J. Math., 3(2), 387-400.
    • (1999) Asian J. Math. , vol.3 , Issue.2 , pp. 387-400
    • Flaherty, T.1    Wang, Y.2
  • 16
    • 0028446064 scopus 로고
    • Orthogonality criteria for compactly supported scaling functions
    • Gröchenig, K. (1994). Orthogonality criteria for compactly supported scaling functions, Appl. Comp. Harmonic Anal., 1, 242-245.
    • (1994) Appl. Comp. Harmonic Anal. , vol.1 , pp. 242-245
    • Gröchenig, K.1
  • 18
    • 0028495847 scopus 로고
    • Multi-resolution analysis of multiplicity d: Applications to dyadic interpolation
    • Hervé, L. (1994). Multi-resolution analysis of multiplicity d: applications to dyadic interpolation, Appl. Comput. Harmon. Anal., 1(4), 299-315.
    • (1994) Appl. Comput. Harmon. Anal. , vol.1 , Issue.4 , pp. 299-315
    • Hervé, L.1
  • 19
    • 1842484437 scopus 로고    scopus 로고
    • Matrix refinement equations: Existence and uniqueness
    • Heil, C. and Collela, 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    Collela, D.2
  • 20
    • 0032361838 scopus 로고    scopus 로고
    • A note on matrix refinement equations
    • Hogan, T. (1998). A note on matrix refinement equations, SIAM J. Math. Anal., 29(4), 849-854.
    • (1998) SIAM J. Math. Anal. , vol.29 , Issue.4 , pp. 849-854
    • Hogan, T.1
  • 25
    • 0009652870 scopus 로고
    • Necessary and sufficient conditions for constructing orthonormal wavelet bases
    • Lawton, W. (1991). Necessary and sufficient conditions for constructing orthonormal wavelet bases, J. Math. Phys., 32, 57-61.
    • (1991) J. Math. Phys. , vol.32 , pp. 57-61
    • Lawton, W.1
  • 26
    • 0031491554 scopus 로고    scopus 로고
    • Stability and orthonormality of multivariate refinable functions
    • Lawton, W, Lee, S.L., and Shen, Z. (1997). Stability and orthonormality of multivariate refinable functions, SIAM J. Math Anal., 28, 999-1014.
    • (1997) SIAM J. Math Anal. , vol.28 , pp. 999-1014
    • Lawton, W.1    Lee, S.L.2    Shen, Z.3
  • 27
    • 0141943748 scopus 로고    scopus 로고
    • Orthogonality criteria for multi-scaling functions
    • Lian, J. (1998). Orthogonality criteria for multi-scaling functions, Appl. Comput. Harmon. Anal, 5(3), 277-311.
    • (1998) Appl. Comput. Harmon. Anal , vol.5 , Issue.3 , pp. 277-311
    • Lian, J.1
  • 28
    • 84966210236 scopus 로고
    • Multiresolution analysis and wavelets
    • Mallat, S. (1989). Multiresolution analysis and wavelets, Trans. Am. Math. Soc., 315, 69-88.
    • (1989) Trans. Am. Math. Soc. , vol.315 , pp. 69-88
    • Mallat, S.1
  • 31
    • 0040250278 scopus 로고    scopus 로고
    • Necessary and sufficient conditions for orthonormality of scaling vectors
    • Nürnberger, G., Schmidt, J.W., and Walz, G., Eds., ISNM, Birkhäuser, Basel.
    • Plonka, G. (1997). Necessary and sufficient conditions for orthonormality of scaling vectors, in Multivariate Approx. and Splines, Nürnberger, G., Schmidt, J.W., and Walz, G., Eds., ISNM, Vol. 125, Birkhäuser, Basel.
    • (1997) Multivariate Approx. and Splines , vol.125
    • Plonka, G.1
  • 32
    • 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
  • 33
    • 0347766995 scopus 로고    scopus 로고
    • Compactly supported refinable functions with infinite masks
    • L. Baggett and D. Larson, Eds., AMS.
    • Strang, G., Strela, V., and Zhou, D. (1999). Compactly supported refinable functions with infinite masks, in Contemporary Mathematics, L. Baggett and D. Larson, Eds., AMS.
    • (1999) Contemporary Mathematics
    • Strang, G.1    Strela, V.2    Zhou, D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.