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Volumn 84, Issue 1, 1996, Pages 47-81

Continuity of relative hyperbolic spectral theory through metric degeneration

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EID: 0040649583     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-96-08402-1     Document Type: Article
Times cited : (13)

References (20)
  • 2
    • 0001245750 scopus 로고
    • Complex geometry and the theory of quantum strings
    • A. A. BELAVIN AND V. G. KNIZHNIK, Complex geometry and the theory of quantum strings, Soviet Phys. JETP 64 (1986), 214-228.
    • (1986) Soviet Phys. JETP , vol.64 , pp. 214-228
    • Belavin, A.A.1    Knizhnik, V.G.2
  • 4
    • 0003331256 scopus 로고
    • Eigenvalues in Riemannian geometry
    • Academic Press, New York
    • I. CHAVEL, Eigenvalues in Riemannian Geometry, Pure Appl. Math. 115 Academic Press, New York, 1984.
    • (1984) Pure Appl. Math. , vol.115
    • Chavel, I.1
  • 5
    • 84972579414 scopus 로고
    • Spectra of manifolds less a small domain
    • I. CHAVEL AND E. FELDMAN, Spectra of manifolds less a small domain, Duke Math. J. 56 (1988), 399-414.
    • (1988) Duke Math. J. , vol.56 , pp. 399-414
    • Chavel, I.1    Feldman, E.2
  • 6
    • 0001593889 scopus 로고
    • Eigenvalue comparison theorems and its geometric applications
    • S. Y. CHENG, Eigenvalue comparison theorems and its geometric applications, Math. Z. 143 (1975), 289-297.
    • (1975) Math. Z. , vol.143 , pp. 289-297
    • Cheng, S.Y.1
  • 7
    • 51249175831 scopus 로고
    • Les valeurs propres inférieures à 1/4 des surfaces de Riemann de petit rayon d'injectivité
    • B. COLBOIS AND G. COURTOIS, Les valeurs propres inférieures à 1/4 des surfaces de Riemann de petit rayon d'injectivité, Comment. Math. Helv. 64 (1989), 349-362.
    • (1989) Comment. Math. Helv. , vol.64 , pp. 349-362
    • Colbois, B.1    Courtois, G.2
  • 8
    • 0001921997 scopus 로고
    • Maximum principle for parabolic inequalities and the heat flow on open manifolds
    • J. DODZIUK, Maximum principle for parabolic inequalities and the heat flow on open manifolds, Indiana Univ. Math. J. 32 (1983), 703-716.
    • (1983) Indiana Univ. Math. J. , vol.32 , pp. 703-716
    • Dodziuk, J.1
  • 9
    • 0002214611 scopus 로고
    • Kernel functions, analytic Torsion, and moduli spaces
    • J. D. FAY, Kernel Functions, Analytic Torsion, and Moduli Spaces, Mem. Amer. Math. Soc. 96, no. 464, 1992.
    • (1992) Mem. Amer. Math. Soc. , vol.96 , Issue.464
    • Fay, J.D.1
  • 10
    • 0003260031 scopus 로고
    • Regular b-groups, degenerating Riemann surfaces, and spectral theory
    • D. A. HEJHAL, Regular b-groups, degenerating Riemann surfaces, and spectral theory, Mem. Amer. Math. Soc. 88, no. 437, 1990.
    • (1990) Mem. Amer. Math. Soc. , vol.88 , Issue.437
    • Hejhal, D.A.1
  • 11
    • 0001299483 scopus 로고
    • Continuity of small eigenfunctions on degenerating Riemann surfaces with hyperbolic cusps
    • J. HUNTLEY, J. JORGENSON AND R. LUNDELIUS, Continuity of small eigenfunctions on degenerating Riemann surfaces with hyperbolic cusps, Bol. Soc. Mat. Mexicana (3) 1 (1995), 119-125.
    • (1995) Bol. Soc. Mat. Mexicana , vol.1 , Issue.3 , pp. 119-125
    • Huntley, J.1    Jorgenson, J.2    Lundelius, R.3
  • 12
    • 84974005449 scopus 로고
    • Convergence theorems for relative spectral functions on hyperbolic Riemann surfaces of finite volume
    • J. JORGENSON AND R. LUNDELIUS, Convergence theorems for relative spectral functions on hyperbolic Riemann surfaces of finite volume, Duke Math. J. 80 (1995), 785-819.
    • (1995) Duke Math. J. , vol.80 , pp. 785-819
    • Jorgenson, J.1    Lundelius, R.2
  • 14
    • 84973999532 scopus 로고
    • Asymptotics of the determinant of the Laplacian on hyperbolic surfaces of finite volume
    • R. LUNDELIUS, Asymptotics of the determinant of the Laplacian on hyperbolic surfaces of finite volume, Duke Math. J. 71 (1993), 211-242.
    • (1993) Duke Math. J. , vol.71 , pp. 211-242
    • Lundelius, R.1
  • 15
    • 84972530647 scopus 로고
    • Curvature and eigenvalues of the Laplacian
    • H. P. MCKEAN AND I. M. SINGER, Curvature and eigenvalues of the Laplacian, J. Differential Geom. 1 (1967), 43-69.
    • (1967) J. Differential Geom. , vol.1 , pp. 43-69
    • McKean, H.P.1    Singer, I.M.2
  • 16
    • 0000328519 scopus 로고
    • Some properties of the eigenfunctions of the Laplace-operator on riemannian manifolds
    • S. MINAKSHISUNDARAM AND A. PLEIJEL, Some properties of the eigenfunctions of the Laplace-operator on Riemannian manifolds, Canad. J. Math. 1 (1949), 242-256.
    • (1949) Canad. J. Math. , vol.1 , pp. 242-256
    • Minakshisundaram, S.1    Pleijel, A.2
  • 17
    • 0000762219 scopus 로고
    • Spectral theory for Riemannian manifolds with cusps and a related trace formula
    • W. MÜLLER, Spectral theory for Riemannian manifolds with cusps and a related trace formula, Math. Nachr. 111 (1983), 197-288.
    • (1983) Math. Nachr. , vol.111 , pp. 197-288
    • Müller, W.1
  • 18
    • 0000193161 scopus 로고
    • Extremals of determinants of Laplacians
    • B. OSGOOD, R. PHILLIPS, AND P. SARNAK, Extremals of determinants of Laplacians, J. Funct. Anal. 80 (1988), 148-211.
    • (1988) J. Funct. Anal. , vol.80 , pp. 148-211
    • Osgood, B.1    Phillips, R.2    Sarnak, P.3
  • 19
    • 0001738999 scopus 로고
    • Complex powers of an elliptic operator
    • Proc. Sympos. Pure Math. American Mathematical Society, Providence
    • R. SEELEY, "Complex powers of an elliptic operator" in Singular Integrals, Proc. Sympos. Pure Math. 10, American Mathematical Society, Providence, 1967, 288-307.
    • (1967) Singular Integrals , vol.10 , pp. 288-307
    • Seeley, R.1
  • 20
    • 33645954392 scopus 로고
    • Asymptotics of the spectrum and the Selberg zeta function on the space of Riemann surfaces
    • S. A. WOLPERT, Asymptotics of the spectrum and the Selberg zeta function on the space of Riemann surfaces, Comm. Math. Phys. 112 (1987), 283-315.
    • (1987) Comm. Math. Phys. , vol.112 , pp. 283-315
    • Wolpert, S.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.