메뉴 건너뛰기




Volumn 47, Issue 188, 1996, Pages 493-509

Functions of weierstrass type and spectral asymptotics for iterated sets

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0030470090     PISSN: 00335606     EISSN: None     Source Type: Journal    
DOI: 10.1093/qjmath/47.188.493     Document Type: Article
Times cited : (6)

References (28)
  • 1
    • 0001144274 scopus 로고
    • On the asymptotics of the heat equation and bounds on traces associated with the Dirichlet Laplacian
    • M. van den Berg, 'On the asymptotics of the heat equation and bounds on traces associated with the Dirichlet Laplacian', J. Fund. Anal. 71 (1987), 279-293.
    • (1987) J. Fund. Anal. , vol.71 , pp. 279-293
    • Van Den Berg, M.1
  • 2
    • 21844497691 scopus 로고
    • Heat content and brownian motion for some regions with a fractal boundary
    • M. van den Berg, 'Heat content and brownian motion for some regions with a fractal boundary', Probab. Th. Rel. Fields 100 (1994), 439-456.
    • (1994) Probab. Th. Rel. Fields , vol.100 , pp. 439-456
    • Van Den Berg, M.1
  • 3
    • 0002994057 scopus 로고
    • Heat content asymptotics for some open sets with a fractal boundary
    • Amer. Math. Soc., Providence, R. I.
    • M. van den Berg, 'Heat content asymptotics for some open sets with a fractal boundary', Proc. Symp. Pure Math., Vol. 57, Amer. Math. Soc., Providence, R. I. (1995), pp. 11-22.
    • (1995) Proc. Symp. Pure Math. , vol.57 , pp. 11-22
    • Van Den Berg, M.1
  • 5
    • 0001233625 scopus 로고
    • Heat content asymptotics of a Riemannian manifold with boundary
    • M. van den Berg and P. B. Gilkey, 'Heat content asymptotics of a Riemannian manifold with boundary', J. Funct. Anal. 120 (1994), 48-71.
    • (1994) J. Funct. Anal. , vol.120 , pp. 48-71
    • Van Den Berg, M.1    Gilkey, P.B.2
  • 6
    • 51249164428 scopus 로고
    • Mean curvature and the heat equation
    • M. van den Berg and J.-F. Le Gall, 'Mean curvature and the heat equation', Math. Z. 215 (1994), 437-464.
    • (1994) Math. Z. , vol.215 , pp. 437-464
    • Van Den Berg, M.1    Le Gall, J.-F.2
  • 9
    • 0001432945 scopus 로고
    • Can one hear the dimension of a fractal?
    • J. Bossard and R. Carmona, 'Can one hear the dimension of a fractal?', Commun. Math. Phys. 104 (1986), 103-122.
    • (1986) Commun. Math. Phys. , vol.104 , pp. 103-122
    • Bossard, J.1    Carmona, R.2
  • 13
    • 0001564214 scopus 로고
    • Heat equation on the triadic von Koch snowflake: Asymptotic and numerical analysis
    • J. Fleckinger, M. Levitin and D Vassiliev, 'Heat equation on the triadic von Koch snowflake: asymptotic and numerical analysis', Proc. London Math. Soc. 71 (1995), 372-396.
    • (1995) Proc. London Math. Soc. , vol.71 , pp. 372-396
    • Fleckinger, J.1    Levitin, M.2    Vassiliev, D.3
  • 14
    • 0011351398 scopus 로고
    • Tambour fractal: Exemple d'une formule asymptotique à deux termes pour la "fonction de comptage" '
    • J. Fleckinger and D. Vassiliev, Tambour fractal: exemple d'une formule asymptotique à deux termes pour la "fonction de comptage" ', C. R. Acad. Sci. Paris Sér. I 311 (1990), 867-872.
    • (1990) C. R. Acad. Sci. Paris Sér. I , vol.311 , pp. 867-872
    • Fleckinger, J.1    Vassiliev, D.2
  • 15
    • 84968515677 scopus 로고
    • An example of a two-term asymptotics for the "counting function" of a fractal drum
    • J. Fleckinger-Pelle and D. Vassiliev, 'An example of a two-term asymptotics for the "counting function" of a fractal drum', Trans. Amer. Math. Soc. 337 (1993), 99-116.
    • (1993) Trans. Amer. Math. Soc. , vol.337 , pp. 99-116
    • Fleckinger-Pelle, J.1    Vassiliev, D.2
  • 16
    • 0001191670 scopus 로고
    • Fractal dimensions and singularities of the Weierstrass type functions
    • T.-Y. Hu and K.-S. Lau, 'Fractal dimensions and singularities of the Weierstrass type functions', Trans. Amer. Math. Soc. 335 (1993), 649-665.
    • (1993) Trans. Amer. Math. Soc. , vol.335 , pp. 649-665
    • Hu, T.-Y.1    Lau, K.-S.2
  • 17
    • 84963025636 scopus 로고
    • Exponential sums and lattice points II
    • M. N. Huxley, 'Exponential sums and lattice points II', Proc. London Math. Soc. 66 (1993), 279-301; Corrigenda, Proc. London Math. Soc. 68 (1994), 264.
    • (1993) Proc. London Math. Soc. , vol.66 , pp. 279-301
    • Huxley, M.N.1
  • 18
    • 84963057204 scopus 로고
    • Corrigenda
    • M. N. Huxley, 'Exponential sums and lattice points II', Proc. London Math. Soc. 66 (1993), 279-301; Corrigenda, Proc. London Math. Soc. 68 (1994), 264.
    • (1994) Proc. London Math. Soc. , vol.68 , pp. 264
  • 19
    • 0002661764 scopus 로고
    • Second term of the spectral asymptotic expansion of the Laplace-Beltrami operator on manifolds with boundary
    • V. Y. Ivrii, 'Second term of the spectral asymptotic expansion of the Laplace-Beltrami operator on manifolds with boundary', Functional. Anal. Appl. 14 (1980), 98-106.
    • (1980) Functional. Anal. Appl. , vol.14 , pp. 98-106
    • Ivrii, V.Y.1
  • 20
    • 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', Comm. Math. Phys. 158 (1993), 93-125.
    • (1993) Comm. Math. Phys. , vol.158 , pp. 93-125
    • Kigami, J.1    Lapidus, M.L.2
  • 21
    • 33646861537 scopus 로고
    • Renewal theorems in symbolic dynamics, with applications to geodesic flow, non-euclidean tessellations and their fractal limits
    • S. P. Lalley, 'Renewal theorems in symbolic dynamics, with applications to geodesic flow, non-euclidean tessellations and their fractal limits', Acta Math. 163 (1989), 1-55.
    • (1989) Acta Math. , vol.163 , pp. 1-55
    • Lalley, S.P.1
  • 22
    • 84966208492 scopus 로고
    • Fractal drum, 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 (1991), 465-529.
    • (1991) Trans. Amer. Math. Soc. , vol.325 , pp. 465-529
    • Lapidus, M.L.1
  • 23
    • 0003176208 scopus 로고
    • The Riemann hypothesis and inverse spectral problems for fractal strings
    • M. L. Lapidus and H. Maier, 'The Riemann hypothesis and inverse spectral problems for fractal strings', J. London Math. Soc. 52 (1995), 15-34.
    • (1995) J. London Math. Soc. , vol.52 , pp. 15-34
    • Lapidus, M.L.1    Maier, H.2
  • 24
    • 33747018374 scopus 로고    scopus 로고
    • Spectral asymptotics, renewal theorem, and the Berry conjecture for a class of fractals
    • M. Levitin and D. Vassiliev, 'Spectral asymptotics, renewal theorem, and the Berry conjecture for a class of fractals', Proc. London Math. Soc. (3) 72 (1996), 178-214.
    • (1996) Proc. London Math. Soc. , vol.72 , Issue.3 , pp. 178-214
    • Levitin, M.1    Vassiliev, D.2
  • 25
    • 0002020225 scopus 로고
    • 'Weyl's conjecture for manifolds with concave boundary', geometry of the Laplace operator
    • Amer. Math. Soc., Providence. R. I.
    • R. B. Melrose, 'Weyl's conjecture for manifolds with concave boundary', Geometry of the Laplace Operator, Proc. Symp. Pure Math., Vol. 36, Amer. Math. Soc., Providence. R. 1. (1980), pp. 257-273.
    • (1980) Proc. Symp. Pure Math. , vol.36 , pp. 257-273
    • Melrose, R.B.1
  • 26
    • 0001639479 scopus 로고
    • Valeurs propres de problèmes aux limites elliptiques irréguliers
    • G. Métivier, 'Valeurs propres de problèmes aux limites elliptiques irréguliers', Bull Soc. Math. France Mém. 51-52 (1977), 125-219.
    • (1977) Bull Soc. Math. France Mém. , vol.51-52 , pp. 125-219
    • Métivier, G.1
  • 27
    • 0003092653 scopus 로고
    • Meilleures estimations asymptotiques des restes de la fonction spectrale et des valeurs propres relatifs au laplacien
    • Pham The Lai, 'Meilleures estimations asymptotiques des restes de la fonction spectrale et des valeurs propres relatifs au laplacien', Math. Scand. 48 (1981), 5-38.
    • (1981) Math. Scand. , vol.48 , pp. 5-38
    • Lai, P.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.