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Volumn 174, Issue 1, 2000, Pages 76-127

Taylor Approximations on Sierpinski Gasket Type Fractals

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EID: 0002586468     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.2000.3580     Document Type: Article
Times cited : (74)

References (30)
  • 1
    • 0001352912 scopus 로고    scopus 로고
    • Localized eigenfunctions of the Laplacian on p.c.f. self-similar sets
    • Barlow M. T., Kigami J. Localized eigenfunctions of the Laplacian on p.c.f. self-similar sets. J. London Math. Soc. 56:1997;320-332.
    • (1997) J. London Math. Soc. , vol.56 , pp. 320-332
    • Barlow, M.T.1    Kigami, J.2
  • 3
    • 0001511211 scopus 로고    scopus 로고
    • What is not in the domain of the Laplacian on a Sierpinski gasket type fractals
    • Ben-Bassat O., Strichartz R., Teplyaev A. What is not in the domain of the Laplacian on a Sierpinski gasket type fractals. J. Funct. Anal. 166:1999;197-217.
    • (1999) J. Funct. Anal. , vol.166 , pp. 197-217
    • Ben-Bassat, O.1    Strichartz, R.2    Teplyaev, A.3
  • 5
    • 0010920382 scopus 로고
    • Oseledec's multiplicative ergodic theorem: A proof
    • Cohen J. E., Kesten H., Newman C. M. Oseledec's multiplicative ergodic theorem: A proof. Contemp. Math. 50:1986;23-30.
    • (1986) Contemp. Math. , vol.50 , pp. 23-30
    • Cohen, J.E.1    Kesten, H.2    Newman, C.M.3
  • 7
    • 0002832308 scopus 로고
    • On a spectral analysis for the Sierpinski gasket
    • Fukushima M., Shima T. On a spectral analysis for the Sierpinski gasket. Potential Anal. 1:1992;1-35.
    • (1992) Potential Anal. , vol.1 , pp. 1-35
    • Fukushima, M.1    Shima, T.2
  • 8
    • 84968508586 scopus 로고
    • Noncommuting random products
    • Furstenberg H. Noncommuting random products. Trans. Amer. Math. Soc. 108:1963;377-428.
    • (1963) Trans. Amer. Math. Soc. , vol.108 , pp. 377-428
    • Furstenberg, H.1
  • 10
    • 77951516336 scopus 로고
    • A harmonic calculus on the Sierpinski spaces
    • Kigami J. A harmonic calculus on the Sierpinski spaces. Japan J. Appl. Math. 8:1989;259-290.
    • (1989) Japan J. Appl. Math. , vol.8 , pp. 259-290
    • Kigami, J.1
  • 11
    • 84924341601 scopus 로고
    • Harmonic calculus on p.c.f. self-similar sets
    • Kigami J. Harmonic calculus on p.c.f. self-similar sets. Trans. Amer. Math. Soc. 335:1993;721-755.
    • (1993) Trans. Amer. Math. Soc. , vol.335 , pp. 721-755
    • Kigami, J.1
  • 12
    • 0001374964 scopus 로고
    • Harmonic metric and Dirichlet form on the Sierpinski gasket
    • K. D. Elworthy, & N. Ikeda. Harlow: Longman Scientific
    • Kigami J. Harmonic metric and Dirichlet form on the Sierpinski gasket. Elworthy K. D., Ikeda N. Asymptotic Problems in Problems in Probability Theory. 1990;201-218 Longman Scientific, Harlow.
    • (1990) Asymptotic Problems in Problems in Probability Theory , pp. 201-218
    • Kigami, J.1
  • 14
    • 84973971662 scopus 로고
    • Effective resistance for harmonic structures on p.c.f. self-similar sets
    • Kigami J. Effective resistance for harmonic structures on p.c.f. self-similar sets. Math. Proc. Cambridge Philos. 115:1994;291-303.
    • (1994) Math. Proc. Cambridge Philos. , vol.115 , pp. 291-303
    • Kigami, J.1
  • 15
    • 0000406745 scopus 로고    scopus 로고
    • Distributions of localized eigenvalues of Laplacian on p.c.f. self-similar sets
    • Kigami J. Distributions of localized eigenvalues of Laplacian on p.c.f. self-similar sets. J. Funct. Anal. 156:1998;170-198.
    • (1998) J. Funct. Anal. , vol.156 , pp. 170-198
    • Kigami, J.1
  • 16
    • 0002343091 scopus 로고
    • Harmonic calculus on limits of networks and its application to dendrites
    • Kigami J. Harmonic calculus on limits of networks and its application to dendrites. J. Funct. Anal. 128:1995;48-86.
    • (1995) J. Funct. Anal. , vol.128 , pp. 48-86
    • Kigami, J.1
  • 18
    • 21344480546 scopus 로고
    • Weyl's problem for the spectral distribution of Laplacians on p.c.f. self-similar fractals
    • Kigami J., Lapidus M. L. Weyl's problem for the spectral distribution of Laplacians on p.c.f. self-similar fractals. Comm. Math. Phys. 158:1993;93-125.
    • (1993) Comm. Math. Phys. , vol.158 , pp. 93-125
    • Kigami, J.1    Lapidus, M.L.2
  • 21
    • 85008054100 scopus 로고
    • Dirichlet forms on fractals and products of random matrices
    • Kusuoka S. Dirichlet forms on fractals and products of random matrices. Publ. Res. Inst. Math. Sci. 25:1989;659-680.
    • (1989) Publ. Res. Inst. Math. Sci. , vol.25 , pp. 659-680
    • Kusuoka, S.1
  • 22
    • 0001313307 scopus 로고
    • Analysis on fractals, Laplacians on self-similar sets, noncommutative geometry and spectral dimensions
    • Lapidus M. L. Analysis on fractals, Laplacians on self-similar sets, noncommutative geometry and spectral dimensions. Topological Methods Nonlinear Anal. 4:1994;137-195.
    • (1994) Topological Methods Nonlinear Anal. , vol.4 , pp. 137-195
    • Lapidus, M.L.1
  • 23
    • 0000311503 scopus 로고
    • Brownian motion on nested fractals
    • Lindstrom T. Brownian motion on nested fractals. Mem. Amer Math. Soc. 420:1989.
    • (1989) Mem. Amer Math. Soc. , vol.420
    • Lindstrom, T.1
  • 24
    • 0000543733 scopus 로고
    • A multiplicative ergodic theorem. Liapounov characteristic numbers for dynamical systems
    • Oseledec V. I. A multiplicative ergodic theorem. Liapounov characteristic numbers for dynamical systems. Trans. Moscow Math. Soc. 19:1968;197-231.
    • (1968) Trans. Moscow Math. Soc. , vol.19 , pp. 197-231
    • Oseledec, V.I.1
  • 25
    • 0033145310 scopus 로고    scopus 로고
    • Some properties of Laplacians on fractals
    • Strichartz R. S. Some properties of Laplacians on fractals. J. Funct. Anal. 164:1999;181-208.
    • (1999) J. Funct. Anal. , vol.164 , pp. 181-208
    • Strichartz, R.S.1
  • 26
    • 0042387098 scopus 로고    scopus 로고
    • The Laplacian on the Sierpinski gasket via the method of averages
    • in press
    • R. S. Strichartz, The Laplacian on the Sierpinski gasket via the method of averages, Pacific J. Math, in press.
    • Pacific J. Math
    • Strichartz, R.S.1
  • 28
    • 0000604124 scopus 로고    scopus 로고
    • Spectral analysis on infinite Sierpinski gaskets
    • Teplyaev A. Spectral analysis on infinite Sierpinski gaskets. J. Funct. Anal. 159:1998;537-567.
    • (1998) J. Funct. Anal. , vol.159 , pp. 537-567
    • Teplyaev, A.1
  • 29
    • 0000625806 scopus 로고    scopus 로고
    • Gradients on fractals
    • Teplyaev A. Gradients on fractals. J. Funct. Anal. 174:2000;128-154.
    • (2000) J. Funct. Anal. , vol.174 , pp. 128-154
    • Teplyaev, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.