메뉴 건너뛰기




Volumn 182, Issue 2, 1996, Pages 371-393

Heat-kernels and functional determinants on the generalized cone

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0030568047     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02517895     Document Type: Article
Times cited : (140)

References (39)
  • 1
    • 0004245694 scopus 로고
    • Handbook of mathematical functions
    • Washington, D.C.: US GPO, New York: Dover, reprinted
    • Abramowitz, M., Stegun, I.A.: Handbook of mathematical functions. Natl. Bur. Stand. Appl. Math. Ser. 55. Washington, D.C.: US GPO, New York: Dover, reprinted 1972
    • (1972) Natl. Bur. Stand. Appl. Math. Ser. , vol.55
    • Abramowitz, M.1    Stegun, I.A.2
  • 2
    • 0000457764 scopus 로고
    • On the theory of the multiple gamma function
    • Barnes, E.W.: On the Theory of the Multiple Gamma Function. Trans. Camb. Philos. Soc. 19, 374 (1903)
    • (1903) Trans. Camb. Philos. Soc. , vol.19 , pp. 374
    • Barnes, E.W.1
  • 3
    • 0000404791 scopus 로고
    • On the asymptotic expansion of integral functions of multiple linear sequence
    • Barnes, E.W.: On the asymptotic expansion of integral functions of multiple linear sequence. Trans. Camb. Philos. Soc. 19, 426 (1903)
    • (1903) Trans. Camb. Philos. Soc. , vol.19 , pp. 426
    • Barnes, E.W.1
  • 4
    • 34248994772 scopus 로고
    • Gravitational field of a global monopole
    • Barriola, M., Vilenkin, A.: Gravitational field of a global monopole. Phys. Rev. Lett. 63, 341 (1989)
    • (1989) Phys. Rev. Lett. , vol.63 , pp. 341
    • Barriola, M.1    Vilenkin, A.2
  • 5
    • 0001720536 scopus 로고
    • One loop quantum cosmology: Zeta function technique for the Hartle-Hawking wave function of the universe
    • Barvinsky, A.O., Kamenshchik, Yu.A., Karmazin, I.P.: One loop quantum cosmology: Zeta function technique for the Hartle-Hawking wave function of the universe. Ann. Phys. 219, 201 (1992)
    • (1992) Ann. Phys. , vol.219 , pp. 201
    • Barvinsky, A.O.1    Kamenshchik, Yu.A.2    Karmazin, I.P.3
  • 6
    • 0001720536 scopus 로고
    • One loop quantum cosmology: Zeta function technique for the Hartle-Hawking wave function of the universe
    • Barvinsky, A.O., Kamenshchik, A.Yu., Karmazin, I.P.: One loop quantum cosmology: Zeta function technique for the Hartle-Hawking wave function of the universe. Ann. Phys. 219, 201 (1992)
    • (1992) Ann. Phys. , vol.219 , pp. 201
    • Barvinsky, A.O.1    Kamenshchik, A.Yu.2    Karmazin, I.P.3
  • 7
    • 0030540873 scopus 로고    scopus 로고
    • Heat-kernel coefficients of the Laplace operator on the D-dimensional ball
    • Bordag, M., Elizalde, E., Kirsten, K.: Heat-kernel coefficients of the Laplace operator on the D-dimensional ball. J. Math. Phys. 37, 895 (1996)
    • (1996) J. Math. Phys. , vol.37 , pp. 895
    • Bordag, M.1    Elizalde, E.2    Kirsten, K.3
  • 8
    • 0030550691 scopus 로고    scopus 로고
    • Zeta function determinant of the Laplace operator on the D-dimensional ball
    • Bordag, M., Elizalde, E., Geyer, B., Kirsten, K.: Zeta function determinant of the Laplace operator on the D-dimensional ball. Commun. Math. Phys. 179, 215 (1996)
    • (1996) Commun. Math. Phys. , vol.179 , pp. 215
    • Bordag, M.1    Elizalde, E.2    Geyer, B.3    Kirsten, K.4
  • 9
    • 21844487739 scopus 로고
    • Vacuum energy in smooth background fields
    • Bordag, M.: Vacuum energy in smooth background fields. J. Phys. A: Math. Gen. 28, 755 (1995)
    • (1995) J. Phys. A: Math. Gen. , vol.28 , pp. 755
    • Bordag, M.1
  • 11
    • 0040268597 scopus 로고
    • Heat equation asymptotics for singular Sturm-Liouville operators
    • Brüning, J.: Heat equation asymptotics for singular Sturm-Liouville operators. Math. Ann. 268, 173 (1984)
    • (1984) Math. Ann. , vol.268 , pp. 173
    • Brüning, J.1
  • 12
    • 0000388245 scopus 로고
    • The resolvent expansion for second order regular singular operators
    • Brüning, J., Seeley, R.: The resolvent expansion for second order regular singular operators. J. Func. Anal. 73, 369 (1987)
    • (1987) J. Func. Anal. , vol.73 , pp. 369
    • Seeley, R.1
  • 13
    • 0001140929 scopus 로고
    • Vacuum energy on orbifold factors of spheres
    • Chang, P., Dowker, J.S.: Vacuum energy on orbifold factors of spheres. Nucl. Phys. B395, 407 (1993)
    • (1993) Nucl. Phys. , vol.B395 , pp. 407
    • Chang, P.1    Dowker, J.S.2
  • 14
    • 84972545480 scopus 로고
    • Spectral geometry of singular riemannian spaces
    • Cheeger, J.: Spectral geometry of singular riemannian spaces. J. Diff. Geom. 18, 575 (1983)
    • (1983) J. Diff. Geom. , vol.18 , pp. 575
    • Cheeger, J.1
  • 15
    • 0001635540 scopus 로고
    • Gravitational contribution to the Casimir energy in Kaluza-Klein theories
    • Chodos, A., Myers, E.: Gravitational contribution to the Casimir energy in Kaluza-Klein theories. Ann. Phys. (N.Y.) 156, 412 (1984)
    • (1984) Ann. Phys. (N.Y.) , vol.156 , pp. 412
    • Chodos, A.1    Myers, E.2
  • 16
    • 33747870766 scopus 로고
    • Functional determinants on spheres and sectors
    • Dowker, J.S.: Functional determinants on spheres and sectors. J. Math. Phys. 35, 4989 (1994)
    • (1994) J. Math. Phys. , vol.35 , pp. 4989
    • Dowker, J.S.1
  • 17
    • 0000993237 scopus 로고
    • Heat-kernel expansion on a generalized cone
    • Dowker, J.S.: Heat-kernel expansion on a generalized cone. J. Math. Phys. 30, 770 (1989)
    • (1989) J. Math. Phys. , vol.30 , pp. 770
    • Dowker, J.S.1
  • 18
    • 0000908298 scopus 로고
    • Quantum field theory on Clifford-Klein space-times: The effective Lagrangian and vacuum stress-energy tensor
    • Dowker, J.S., Banach, R.: Quantum field theory on Clifford-Klein space-times: The effective lagrangian and vacuum stress-energy tensor. J. Phys. A11, 2255 (1978)
    • (1978) J. Phys. , vol.A11 , pp. 2255
    • Dowker, J.S.1    Banach, R.2
  • 21
    • 21344439764 scopus 로고    scopus 로고
    • Robin conditions on the Euclidean ball
    • Dowker, J.S.: Robin conditions on the Euclidean ball. Class. Quant. Grav. 13, 1 (1996)
    • (1996) Class. Quant. Grav. , vol.13 , pp. 1
    • Dowker, J.S.1
  • 23
    • 0004291830 scopus 로고
    • Quantum gravity, quantum cosmology and Lorentzian geometries
    • Berlin: Springer-Verlag
    • Esposito, G.: Quantum Gravity, Quantum Cosmology and Lorentzian Geometries. Lecture Notes in Physics, Monographs, Vol. m12, Berlin: Springer-Verlag, 1994
    • (1994) Lecture Notes in Physics, Monographs , vol.M12
    • Esposito, G.1
  • 27
    • 0000928594 scopus 로고
    • Zeta function technique for quantum cosmology: The contributions of matter fields to the Hartle-Hawking wave function of the universe
    • Kamenshchik, A.Yu., Mishakov, I.V.: Zeta function technique for quantum cosmology: The contributions of matter fields to the Hartle-Hawking wave function of the universe. Int. J. Mod. Phys. A 7, 3713 (1992)
    • (1992) Int. J. Mod. Phys. A , vol.7 , pp. 3713
    • Kamenshchik, A.Yu.1    Mishakov, I.V.2
  • 29
    • 0001481434 scopus 로고
    • Boundary terms in the Schwinger-DeWitt expansion: Flat space results
    • Kennedy, G.: Boundary terms in the Schwinger-DeWitt expansion: Flat space results. J. Phys. A: Math. Gen. 11, L173 (1978)
    • (1978) J. Phys. A: Math. Gen. , vol.11
    • Kennedy, G.1
  • 31
    • 21344472153 scopus 로고    scopus 로고
    • Diffeomorphism invariant eigenvalue problem for metric perturbations in a bounded region
    • Marachevsky, V.N., Vassilevich, D.V.: Diffeomorphism invariant eigenvalue problem for metric perturbations in a bounded region. Class. Quantum Grav. 13, 645 (1996)
    • (1996) Class. Quantum Grav. , vol.13 , pp. 645
    • Marachevsky, V.N.1    Vassilevich, D.V.2
  • 32
    • 0001145563 scopus 로고
    • Vacuum polarization effects in global monopole space-times
    • Mazzitelli, F.D., Lousto, C.O.: Vacuum polarization effects in global monopole space-times. Phys. Rev. D 43, 468 (1991)
    • (1991) Phys. Rev. D , vol.43 , pp. 468
    • Mazzitelli, F.D.1    Lousto, C.O.2
  • 33
    • 0000328519 scopus 로고
    • Some properties of the eigenfunctions of the Laplace operator on Riemannian manifolds
    • Minakshisundaram, S., Pleijel, A.: Some properties of the eigenfunctions of the Laplace operator on Riemannian manifolds. Can. J. Math. 1, 242 (1949)
    • (1949) Can. J. Math. , vol.1 , pp. 242
    • Minakshisundaram, S.1    Pleijel, A.2
  • 34
    • 34250578938 scopus 로고
    • Mémoire sur les polynomes de bernoulli
    • Nörlund, N.B.: Mémoire sur les polynomes de Bernoulli. Acta Math. 43, 121 (1922)
    • (1922) Acta Math. , vol.43 , pp. 121
    • Nörlund, N.B.1
  • 35
    • 0000611182 scopus 로고
    • The asymptotic expansion of Bessel functions of large order
    • Olver, F.W.: The asymptotic expansion of Bessel functions of large order. Phil. Trans. Roy. Soc. A247, 328 (1954)
    • (1954) Phil. Trans. Roy. Soc. , vol.A247 , pp. 328
    • Olver, F.W.1
  • 36
    • 0039675393 scopus 로고
    • Structure of the curvature tensor on conical singularities
    • Sokolov, D.D., Starobinsky, A.A.: Structure of the curvature tensor on conical singularities. Dokl. Akad. Nauk. USSR 234, 1043 (1977)
    • (1977) Dokl. Akad. Nauk. USSR , vol.234 , pp. 1043
    • Sokolov, D.D.1    Starobinsky, A.A.2
  • 37
    • 0001204425 scopus 로고
    • The asymptotic expansion of Legendre functions of large degree and order
    • Thorne, R.C.: The asymptotic expansion of Legendre functions of large degree and order. Phil. Trans. Roy. Soc. A249, 597 (1957)
    • (1957) Phil. Trans. Roy. Soc. , vol.A249 , pp. 597
    • Thorne, R.C.1
  • 38
    • 0009086229 scopus 로고
    • Heat kernel for antisymmetric tensor field on a disk
    • Vassilevich, D.V.: Heat kernel for antisymmetric tensor field on a disk. Phys. Lett. B 348, 39 (1995)
    • (1995) Phys. Lett. B , vol.348 , pp. 39
    • Vassilevich, D.V.1
  • 39
    • 22244446790 scopus 로고
    • Spectral functions, special functions and the Selberg zeta function
    • Voros, A.: Spectral functions, special functions and the Selberg zeta function. Commun. Math. Phys. 110, 439 (1987)
    • (1987) Commun. Math. Phys. , vol.110 , pp. 439
    • Voros, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.