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Complete Heat Trace, Resolvent and Zeta Expansions for General Atiyah-Patodi-Singer Problems

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Partial Differential Equations and Mathematical Physics

Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 21))

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Abstract

The results presented in this talk were obtained jointly with R. T. Seeley in [GS1], [GS2].

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References

  1. M. S. Agranovie, Some asymptotic formulas for elliptic pseudodifferential operators, Functional Anal. Appl. 21 (1987), 63–65.

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  2. M. F. Atiyah, V. K. Patodi and I. M. Singer, Spectral asymmetry and Riemann- ian geometry, I, Math. Proc. Cambridge Philos. Soc. 77 (1975), 43–69.

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  3. G. Grubb, Functional Calculus of Pseudo-Differential Boundary Problems, Progress in Math., Vol. 65, Birkhäuser, Boston, 1986.

    Book  Google Scholar 

  4. G2], Heat operator trace expansions and index for general Atiyah-Patodi- Singer boundary problems,Comm. Partial Diff. Eq. 17 (1992), 2031–2077.

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  5. GS1] G. Grubb and R. T. Seeley, Zeta and eta functions for Atiyah-Patodi-Singer operators,J. Geom. Anal. (to appear).

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  6. GS2], Weakly parametric pseudodifferential operators and Atiyah-Patodi- Singer boundary problems,Inventiones Math. 121 (1995), 481–529.

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  7. L. Hörmander, Pseudo-differential operators and hypoelliptic equations, Proc. Symp. Pure Math., vol. 10, 1967, pp. 138–183.

    Article  Google Scholar 

  8. H2], The analysis of linear Partial Differential Operators, III, Springer Ver- lag, Heidelberg, 1985.

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  9. S] R. T. Seeley, Topics in pseudo-differential operators,CIME Conference on Pseudo-Differential Operators 1968, Edizioni Cremonese, Roma, 1969, pp. 169305.

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  10. M. A. Shubin, Pseudodifferential Operators and Spectral Theory, Nauka, Moscow, 1978.

    MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Copenhagen, Universitetsparken 5, DK-2100, Copenhagen, Denmark

    Gerd Grubb

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  1. Gerd Grubb
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Lund, S-221 00, Lund, Sweden

    Lars Hörmander  & Anders Melin  & 

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© 1996 Springer Science+Business Media New York

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Grubb, G. (1996). Complete Heat Trace, Resolvent and Zeta Expansions for General Atiyah-Patodi-Singer Problems. In: Hörmander, L., Melin, A. (eds) Partial Differential Equations and Mathematical Physics. Progress in Nonlinear Differential Equations and Their Applications, vol 21. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0775-7_10

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  • DOI: https://doi.org/10.1007/978-1-4612-0775-7_10

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6897-0

  • Online ISBN: 978-1-4612-0775-7

  • eBook Packages: Springer Book Archive

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