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Volumn 12, Issue 1, 1996, Pages 127-155

Generalized spline wavelets

Author keywords

Autocorrelation symbol; B splines with multiple knots; Riesz basis; Spline wavelets with multiple knots; Two scale symbol

Indexed keywords


EID: 0039471725     PISSN: 01764276     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02432858     Document Type: Article
Times cited : (8)

References (25)
  • 1
    • 0002074029 scopus 로고
    • 2 for the sparse representation of integral operators
    • 2 for the sparse representation of integral operators. SIAM J. Math. Anal., 24:246-262.
    • (1993) SIAM J. Math. Anal. , vol.24 , pp. 246-262
    • Alpert, B.K.1
  • 3
    • 0002670810 scopus 로고
    • On local linear functional which vanish at all B-splines but one
    • (A. Law, A. Sahney, eds.). New York: Academic Press
    • C. DE BOOR (1976): On local linear functional which vanish at all B-splines but one. In: Theory of Approximation with Applications (A. Law, A. Sahney, eds.). New York: Academic Press, pp. 122-145.
    • (1976) Theory of Approximation with Applications , pp. 122-145
    • De Boor, C.1
  • 4
    • 0000215503 scopus 로고
    • The exact condition of the B-spline basis may be hard to determine
    • C. DE BOOR (1990): The exact condition of the B-spline basis may be hard to determine. J. Approx. Theory, 60:344-359.
    • (1990) J. Approx. Theory , vol.60 , pp. 344-359
    • De Boor, C.1
  • 6
    • 21344488909 scopus 로고
    • On the construction of multivariate (pre)wavelets
    • C. DE BOOR, R. A. DEVORE, A. RON (1993): On the construction of multivariate (pre)wavelets. Constr. Approx., 9:123-166.
    • (1993) Constr. Approx. , vol.9 , pp. 123-166
    • De Boor, C.1    Devore, R.A.2    Ron, A.3
  • 8
    • 36148972266 scopus 로고
    • A general framework for compactly supported splines and wavelets
    • C. K. CHUI, J. Z. WANG (1992): A general framework for compactly supported splines and wavelets. J. Approx. Theory, 71:263-304.
    • (1992) J. Approx. Theory , vol.71 , pp. 263-304
    • Chui, C.K.1    Wang, J.Z.2
  • 9
    • 84966249700 scopus 로고
    • On compactly supported spline wavelets and a duality principle
    • C. K. CHUI, J. Z. WANG (1992): On compactly supported spline wavelets and a duality principle. Trans. Amer. Math. Soc., 330:903-915.
    • (1992) Trans. Amer. Math. Soc. , vol.330 , pp. 903-915
    • Chui, C.K.1    Wang, J.Z.2
  • 11
    • 0040108097 scopus 로고
    • Interpolatory Hermite spline wavelets
    • T. N. T. GOODMAN (1994): Interpolatory Hermite spline wavelets. J. Approx. Theory, 78:174-189.
    • (1994) J. Approx. Theory , vol.78 , pp. 174-189
    • Goodman, T.N.T.1
  • 14
    • 0002888350 scopus 로고
    • Using the refinement equation for the construction of prewavelets II
    • Curves and Surfaces (P. J. Laurent, A. Le Méhauté, L. L. Schumaker, eds.). New York: Academic Press
    • R. Q. JIA, C. A. MICCHELLI (1991): Using the refinement equation for the construction of prewavelets II: Powers of Two. In: Curves and Surfaces (P. J. Laurent, A. Le Méhauté, L. L. Schumaker, eds.). New York: Academic Press, pp. 209-246.
    • (1991) Powers of Two , pp. 209-246
    • Jia, R.Q.1    Micchelli, C.A.2
  • 15
    • 0028495847 scopus 로고
    • Multi-resolution analysis of multiplicity d. Application to dyadic interpolation
    • L. HERVÉ (1994): Multi-resolution analysis of multiplicity d. Application to dyadic interpolation. Appl. Comput. Harmonic Anal., 1:299-315.
    • (1994) Appl. Comput. Harmonic Anal. , vol.1 , pp. 299-315
    • Hervé, L.1
  • 16
    • 0001636694 scopus 로고
    • Ondelettes à localisation exponentielle
    • P. G. LEMARIÉ (1988): Ondelettes à localisation exponentielle. J. Math. Pures Appl., 67:227-236.
    • (1988) J. Math. Pures Appl. , vol.67 , pp. 227-236
    • Lemarié, P.G.1
  • 17
    • 0013182684 scopus 로고
    • Ondelettes généralisées et fonctions d'échelle à support compact
    • P. G. LEMARIÉ-RIEUSSET (1993): Ondelettes généralisées et fonctions d'échelle à support compact. Revista Matematica Iberoamericana, 9:333-371.
    • (1993) Revista Matematica Iberoamericana , vol.9 , pp. 333-371
    • Lemarié-Rieusset, P.G.1
  • 18
    • 0040108095 scopus 로고
    • Cardinal interpolation and spline functions III. Cardinal Hermite interpolation
    • P. R. LIPOW, I. J. SCHOENBERG (1973): Cardinal interpolation and spline functions III. Cardinal Hermite interpolation. Linear Algebra Appl., 6:273-304.
    • (1973) Linear Algebra Appl. , vol.6 , pp. 273-304
    • Lipow, P.R.1    Schoenberg, I.J.2
  • 19
    • 0000058020 scopus 로고
    • Spline wavelets of minimal support
    • ISNM (D. Braess, L. Schumaker, eds.), Basel: Birkhäuser
    • T. LYCHE, K. MØRKEN (1992): Spline wavelets of minimal support. Numerical Methods of Approximation Theory, ISNM 105 (D. Braess, L. Schumaker, eds.), Basel: Birkhäuser, pp. 177-194.
    • (1992) Numerical Methods of Approximation Theory , vol.105 , pp. 177-194
    • Lyche, T.1    Mørken, K.2
  • 22
    • 0040701752 scopus 로고
    • Spline wavelets with higher defect
    • (P. J. Laurent, A. Le Méhauté, L. L. Schumaker, eds.). Boston: A K Peters
    • G. PLONKA (1994): Spline wavelets with higher defect. In: Wavelets, Images, and Surface Fitting (P. J. Laurent, A. Le Méhauté, L. L. Schumaker, eds.). Boston: A K Peters, pp. 387-398.
    • (1994) Wavelets, Images, and Surface Fitting , pp. 387-398
    • Plonka, G.1
  • 23
    • 51249163043 scopus 로고
    • Two-scale relation and autocorrelation symbol for B-splines with multiple knots
    • G. PLONKA (1995): Two-scale relation and autocorrelation symbol for B-splines with multiple knots. Advances in Comp. Math., 3:1-22.
    • (1995) Advances in Comp. Math. , vol.3 , pp. 1-22
    • Plonka, G.1
  • 24
    • 84968518331 scopus 로고
    • Cardinal Hermite spline interpolation with shifted knots
    • G. PLONKA, M. TASCHE (1994): Cardinal Hermite spline interpolation with shifted knots. Math. Comp., 63:645-659.
    • (1994) Math. Comp. , vol.63 , pp. 645-659
    • Plonka, G.1    Tasche, M.2
  • 25
    • 0029196550 scopus 로고
    • On the computation of periodic spline wavelets
    • G. PLONKA, M. TASCHE (1995): On the computation of periodic spline wavelets. Appl. Comput. Harmonic Anal., 2:1-14.
    • (1995) Appl. Comput. Harmonic Anal. , vol.2 , pp. 1-14
    • Plonka, G.1    Tasche, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.