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Volumn 8, Issue 1, 1998, Pages 35-46

Dirichlet and Neumann heat invariants for Euclidean balls

Author keywords

Asymplotics; Heat equation; Laplacian; Partition function; Spectral invariants

Indexed keywords


EID: 0031990339     PISSN: 09262245     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0926-2245(97)00016-8     Document Type: Article
Times cited : (9)

References (13)
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    • High orders of the Weyl expansion for quantum billiards - Resurgence of periodic orbits, and the Stokes phenomenon
    • [2] M.V. Berry and C.J. Howls, High orders of the Weyl expansion for quantum billiards - resurgence of periodic orbits, and the Stokes phenomenon, Proc. Royal Soc. London Ser. A 447 (1994) 527-555.
    • (1994) Proc. Royal Soc. London Ser. A , vol.447 , pp. 527-555
    • Berry, M.V.1    Howls, C.J.2
  • 3
    • 0030540873 scopus 로고    scopus 로고
    • Heat kernel coefficients of the Laplace operator on the D-dimensional ball
    • [3] M. Bordag, K. Kirsten and E. Elizalde, Heat kernel coefficients of the Laplace operator on the D-dimensional ball, J. Math. Phys. 37 (1996) 895-916.
    • (1996) J. Math. Phys. , vol.37 , pp. 895-916
    • Bordag, M.1    Kirsten, K.2    Elizalde, E.3
  • 4
    • 84953832735 scopus 로고
    • The asymptotics of the Laplacian on a manifold with boundary
    • [4] T. Branson and P. Gilkey, The asymptotics of the Laplacian on a manifold with boundary, Commun. Partial Diff. Equat. 15 (1990) 245-272.
    • (1990) Commun. Partial Diff. Equat. , vol.15 , pp. 245-272
    • Branson, T.1    Gilkey, P.2
  • 5
    • 0001846518 scopus 로고    scopus 로고
    • The asymptotics of the Laplacian on a manifold with boundary
    • [5] T. Branson, P. Gilkey and D. Vassilevich, The asymptotics of the Laplacian on a manifold with boundary, Boll. Un. Math. It. B 11 (2, suppl.) (1997) 39-67.
    • (1997) Boll. Un. Math. It. B , vol.11 , Issue.2 SUPPL. , pp. 39-67
    • Branson, T.1    Gilkey, P.2    Vassilevich, D.3
  • 7
    • 0003279198 scopus 로고
    • Functional calculus of pseudo-differential boundary problems
    • Birkhäuser, Boston
    • [7] G. Grubb, Functional Calculus of Pseudo-differential Boundary Problems, Progress in Math. 65 (Birkhäuser, Boston, 1986).
    • (1986) Progress in Math. , vol.65
    • Grubb, G.1
  • 9
    • 0001481434 scopus 로고
    • Boundary terms in the Schwinger-DeWitt expansion: Flat space results
    • [9] G. Kennedy, Boundary terms in the Schwinger-DeWitt expansion: flat space results, J. Phys. A 11 (1978) L173-L178.
    • (1978) J. Phys. A , vol.11
    • Kennedy, G.1
  • 11
    • 84972530647 scopus 로고
    • Curvature and eigenvalues of the Laplacian
    • [11] H.P. McKean and I.M. Singer, Curvature and eigenvalues of the Laplacian, J. Diff. Geom. 1 (1967) 43-69.
    • (1967) J. Diff. Geom. , vol.1 , pp. 43-69
    • McKean, H.P.1    Singer, I.M.2
  • 12
    • 84976163854 scopus 로고
    • On hearing the shape of a drum: Further results
    • [12] K. Stewartson and R.T. Waechter, On hearing the shape of a drum: further results, Proc. Cambridge Phil. Soc. 69 (1971) 353-363.
    • (1971) Proc. Cambridge Phil. Soc. , vol.69 , pp. 353-363
    • Stewartson, K.1    Waechter, R.T.2
  • 13
    • 84971722398 scopus 로고
    • On hearing the shape of a drum: An extension to higher dimensions
    • [13] R.T. Waechter, On hearing the shape of a drum: an extension to higher dimensions, Proc. Cambridge Phil. Soc. 72 (1972) 439-447.
    • (1972) Proc. Cambridge Phil. Soc. , vol.72 , pp. 439-447
    • Waechter, R.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.