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Volumn 30, Issue 2, 2004, Pages 589-604

Dirichlet forms on fractal subsets of the real line

Author keywords

Dirichlet form; Dirichlet Neumann bracketing; Eigenvalue counting function; Self similar measure; Variational fractal

Indexed keywords


EID: 29144472628     PISSN: 01471937     EISSN: 19301219     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (23)

References (15)
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    • Analytic properties of measure geometric Krein-Felleroperators on the real line
    • U. Freiberg, Analytic properties of measure geometric Krein-Felleroperators on the real line, Math. Nach., 260 (2003), 34-47
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  • 3
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    • Spectral asymptotics of generalized measure geometric Laplacians on Cantor like sets
    • U. Freiberg, Spectral asymptotics of generalized measure geometric Laplacians on Cantor like sets, Forum Math., 17 (2005), 87-104
    • (2005) Forum Math , vol.17 , pp. 87-104
    • Freiberg, U.1
  • 4
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    • Harmonic calculus on fractals-A measure geometric approach I
    • U. Freiberg and M. Zähle, Harmonic calculus on fractals-A measure geometric approach I, Potential Anal., 16 (2002), 265-277
    • (2002) Potential Anal , vol.16 , pp. 265-277
    • Freiberg, U.1    Zähle, M.2
  • 6
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    • Fractals and self-similarity
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    • (1981) Indiana Univ. Math. J , vol.30 , pp. 713-747
    • Hutchinson, J.E.1
  • 8
    • 21344480546 scopus 로고
    • Weyl's problem for the spectral distribution of Laplacians on p.c.f. self-similar fractals
    • J. Kigami and M. L. Lapidus, Weyl's problem for the spectral distribution of Laplacians on p.c.f. self-similar fractals, Commun. Math. Phys., 158 (1993), 93-125
    • (1993) Commun. Math. Phys , vol.158 , pp. 93-125
    • Kigami, J.1    Lapidus, M.L.2
  • 9
    • 85008275554 scopus 로고
    • Some asymptotic properties of the transition densities of onedimensional quasidiffusion
    • U. Küchler, Some asymptotic properties of the transition densities of onedimensional quasidiffusions, Publ. RIMS, Kyoto Univ., 16, No. 1 (1980), 245-268
    • (1980) Publ. RIMS, Kyoto Univ., 16, No , vol.1 , pp. 245-268
    • Küchler, U.1
  • 10
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    • Fractal dru. inverse spectral problems for elliptic operators and a partial resolution of the Weyl-Berry conjecture
    • M. L. Lapidus, Fractal drum, inverse spectral problems for elliptic operators and a partial resolution of the Weyl-Berry conjecture, Trans. Amer. Math. Soc., 325, No. 2 (1991), 465-529
    • (1991) Trans. Amer. Math. Soc., 325, No , vol.2 , pp. 465-529
    • Lapidus, M.L.1
  • 12
    • 0001639479 scopus 로고
    • Valeurs propres de problèmes aux limites elliptiques irréguliers
    • France, Mém, 51-52
    • G. Métivier, Valeurs propres de problèmes aux limites elliptiques irréguliers, Bull. Soc. Math. France, Mém., 51-52 (1977), 125-219
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    • Métivier, G.1
  • 13
    • 0001540061 scopus 로고
    • Variational metrics on self-similar fractals
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    • U. Mosco, Variational metrics on self-similar fractals, C. R. Acad. Sci. Paris, 321, Série I (1995), 715-720
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  • 14
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    • Spectral asymptotics for variational fractal
    • G. Posta, Spectral asymptotics for variational fractals, Zeit. Anal. Anw., 17, No. 2 (1998), 417-430
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    • Posta, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.