Heat kernel asymptotics on manifolds with conic singularities

Journal d'Analyse Mathematique

Volumn 78, Issue , 1999, Pages 1-36

  Mooers, Edith A ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001842304     PISSN: 00217670     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02791127     Document Type: Article

References (12)

1. C. J. Callias, The heat equation with singular coefficients, Comm. Math. Phys. 88 (1983), 357-385.
2. J. Cheeger, On the spectral geometry of spaces with cone-like singularities, Proc. Nat. Acad. Sci. U.S.A. 76 (1979), 2103-2106.
3. J. Cheeger, Hodge theory of complex cones, Asterique 101-102 (1983), 118-134.
4. J. Cheeger, Spectral geometry of singular Riemannian spaces, J. Differential Geom. 18 (1983), 575-657.
5. L. Hörmander, The Analysis of Linear Partial Differential Operators, Vols. I & III, Springer-Verlag, Berlin, 1985.
6. T. Kato, Perturbation Theory for Linear Operators, Springer-Verlag, Berlin, 1980.
7. R. B. Melrose, Calculus of conormal distributions on manifolds with corners, Internat. Math. Res. Notices 3 (1992), 51-61.
8. R. B. Melrose, The Atiyah-Patodi-Singer Index Theorem, Res. Notes Math., Vol. 4, A. K. Peters, Wellesley, MA, 1993.
9. E. Mooers, Heat kernels on manifolds with conic singularities, PhD. Thesis, M.I.T. Dept. of Pure Math., 1996.
10. M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vols. I & II, Academic Press, New York, 1980.
11. R. Seeley and J. Brüning, The resolvent expansion for second order regular singular operators J. Funct. Anal. 73 (1987), 369-429.
12. G. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press Cambridge 1973.