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Volumn 16, Issue 3, 2002, Pages 265-277

Harmonic calculus on fractals - A measure geometric approach I

Author keywords

Green's function; Measure geometric Laplacian; Self similar measure

Indexed keywords


EID: 0141457500     PISSN: 09262601     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1014085203265     Document Type: Article
Times cited : (88)

References (16)
  • 1
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    • Barlow, M. T. and Bass, R. F.: 'The construction of Brownian motion on the Siepinski carpet', Ann. Inst. H. Poincaré 25 (1989), 225-257.
    • (1989) Ann. Inst. H. Poincaré , vol.25 , pp. 225-257
    • Barlow, M.T.1    Bass, R.F.2
  • 5
    • 0007465111 scopus 로고
    • A fractional dimension, self similarity and a generalized diffusion operator
    • Fujita, T.: A fractional dimension, self similarity and a generalized diffusion operator, in: Taniguchi Symp. PMMP Katata, 1985, pp. 83-90.
    • (1985) Taniguchi Symp. PMMP Katata , pp. 83-90
    • Fujita, T.1
  • 6
    • 0001582569 scopus 로고
    • Random walks and diffusions on fractals
    • H. Kesten (ed.), IMA Math. Appl. 8, Springer, Berlin
    • Goldstein, S.: 'Random walks and diffusions on fractals', in: H. Kesten (ed.), Percolation Theory and Ergodic Theory of Infinite Particle Systems, IMA Math. Appl. 8, Springer, Berlin, 1987, pp. 121-129.
    • (1987) Percolation Theory and Ergodic Theory of Infinite Particle Systems , pp. 121-129
    • Goldstein, S.1
  • 7
    • 0001265433 scopus 로고
    • Fractals self-similarity
    • Hutchinson, J. E.: 'Fractals and self-similarity', Indiana Univ. Math. J. 30 (1981), 713-747.
    • (1981) Indiana Univ. Math. J. , vol.30 , pp. 713-747
    • Hutchinson, J.E.1
  • 9
    • 0002028669 scopus 로고
    • Neuer beweis und verallgemeinerung der tauberschen sätze, welche die laplacesche und stieltjes transformation betreffen
    • Karamata, J.: 'Neuer Beweis und Verallgemeinerung der Tauberschen Sätze, welche die Laplacesche und Stieltjes Transformation betreffen', J. Reine Angew. Math. 164 (1931), 27-39.
    • (1931) J. Reine Angew. Math. , vol.164 , pp. 27-39
    • Karamata, J.1
  • 10
    • 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
  • 11
    • 21344480546 scopus 로고
    • Weyl's problem for the spectral distribution of Laplacians on P.C.F. self-similar fractals
    • Kigami, J. and 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
  • 12
    • 0002070668 scopus 로고
    • A diffusion process on a fractal
    • K. Itô and N. Ikeda (eds.). Proc. Taniguchi Intern. Symp. (Katata and Kyoto, 1985), Kinokuniya, Tokyo
    • Kusuoka, S.: 'A diffusion process on a fractal', in: K. Itô and N. Ikeda (eds.), Probabilistic Methods in Mathematical Physics. Proc. Taniguchi Intern. Symp. (Katata and Kyoto, 1985), Kinokuniya, Tokyo, 1987, pp. 251-274.
    • (1987) Probabilistic Methods in Mathematical Physics , pp. 251-274
    • Kusuoka, S.1
  • 15
    • 52149116800 scopus 로고
    • Das asymptotische verteilungsgesetz der eigenschwingungen eines beliebig gestalteten elastischen körpers
    • Weyl, H.: 'Das asymptotische Verteilungsgesetz der Eigenschwingungen eines beliebig gestalteten elastischen Körpers', Rend. Cir. Mat. Palermo 39 (1915), 1-50.
    • (1915) Rend. Cir. Mat. Palermo , vol.39 , pp. 1-50
    • Weyl, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.