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Volumn 126, Issue 3, 1998, Pages 729-737

Spectral properties of continuous refinement operators

Author keywords

Compact operators; Continuous refinement equations; Continuous refinement operators; Dilation constant; Eigenvalues; Power iteration; Spectral radius; Spectrum; Up function

Indexed keywords


EID: 21944446724     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-98-04006-4     Document Type: Article
Times cited : (14)

References (10)
  • 2
    • 51249163105 scopus 로고
    • Continuous two-scale equations and dyadic wavelets
    • MR 95d:42038
    • C. K. Chui and X. Shi, Continuous two-scale equations and dyadic wavelets, Advances in Comp. Math. 2 (1994), 185-213. MR 95d:42038
    • (1994) Advances in Comp. Math. , vol.2 , pp. 185-213
    • Chui, C.K.1    Shi, X.2
  • 3
    • 0013531971 scopus 로고
    • Continuous refinement equations and subdivision
    • MR 94h:41018
    • W. Dahmen and C. A. Micchelli, Continuous refinement equations and subdivision, Advances in Comp. Math. 1 (1993), 1-37. MR 94h:41018
    • (1993) Advances in Comp. Math. , vol.1 , pp. 1-37
    • Dahmen, W.1    Micchelli, C.A.2
  • 4
    • 0003182225 scopus 로고
    • Generalized functional equations and subdivision processes
    • MR 95k:45003
    • G. Derfel, N. Dyn, and D. Levin, Generalized functional equations and subdivision processes, J. Approx. Theory 80 (1995), 272-297. MR 95k:45003
    • (1995) J. Approx. Theory , vol.80 , pp. 272-297
    • Derfel, G.1    Dyn, N.2    Levin, D.3
  • 5
    • 0029185208 scopus 로고
    • Multiresolution analysis by infinitely differentiable compactly supported functions
    • MR 95k:42057
    • N. Dyn and A. Ron, Multiresolution analysis by infinitely differentiable compactly supported functions, Applied and Computational Harmonic Analysis 2 (1995), 15-20. MR 95k:42057
    • (1995) Applied and Computational Harmonic Analysis , vol.2 , pp. 15-20
    • Dyn, N.1    Ron, A.2
  • 6
    • 0013502338 scopus 로고
    • Spectral radius formulas for the dilationconvolution integral operators
    • MR 96c:47042
    • T. N. T. Goodman, C. A. Micchelli and J. D. Ward, Spectral radius formulas for the dilationconvolution integral operators, SEA Bull. Math. 19 (1995), 95-106. MR 96c:47042
    • (1995) SEA Bull. Math. , vol.19 , pp. 95-106
    • Goodman, T.N.T.1    Micchelli, C.A.2    Ward, J.D.3
  • 8
    • 0013466312 scopus 로고
    • On operators defining a family of nonanalytic Cx+~ -functions
    • K. Kabaya and M. Iri, On operators defining a family of nonanalytic Cx-functions, Japan J. Appl. Math. 5 (1988), 333-365.
    • (1988) Japan J. Appl. Math. , vol.5 , pp. 333-365
    • Kabaya, K.1    Iri, M.2
  • 9
    • 0013467972 scopus 로고
    • Compactly supported solutions of functional-differential equations and their applications
    • MR 91j:34104
    • V. A. Rvachev, Compactly supported solutions of functional-differential equations and their applications, Russian Mathematical Survey, 45:1 (1990), 87-120. MR 91j:34104
    • (1990) Russian Mathematical Survey , vol.45 , Issue.1 , pp. 87-120
    • Rvachev, V.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.