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A closed form for the symbol of the resolvent parametrix of an elliptic operator

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Differential Equations and Mathematical Physics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1285))

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References

  1. F. Treves, Introduction to Pseudodifferential and Fourier Integral Operators, Vol. 1, Plenum, New York, 1980; M. E. Taylor, Pseudodifferential Operators, Princeton Univ. Press, Princeton, 1981; H. Kumano-Go, Pseudo-Differential Operators, M.I.T. Press, Cambridge, Mass., 1982; B. E. Petersen, Introduction to the Fourier Transform and Pseudo-Differential Operators, Pitman, Boston, 1983; P. B. Gilkey, Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem, Publish or Perish, Wilmington, 1984.

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  2. H. Widom, A complete symbolic calculus for pseudodifferential operators, Bull. Sci. Math. 104, 19–63 (1980); L. Drager, On the Intrinsic Symbol Calculus for Pseudo-Differential Operators on Manifolds, Ph.D. Dissertation, Brandeis University, 1978; J. Bokobza-Haggiag, Opérateurs pseudo-différentiels sur une variété différentiable, Ann. Inst. Fourier (Grenoble) 19, 125–177 (1969).

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  3. N. H. Barth and S. M. Christensen, Quantizing fourth order gravity theories: The functional integral, Phys. Rev. D 28, 1876–1893 (1983).

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  4. S. A. Fulling and G. Kennedy, The resolvent parametrix of the general elliptic linear differential operator: A closed form for the intrinsic symbol, in preparation.

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  5. S. A. Fulling and G. Kennedy, A closed form for the intrinsic symbol of the resolvent parametrix of an elliptic operator, in the proceedings of the First International Conference on the Physics of Phase Space (College Park, 1986), Springer Lecture Notes in Physics, to appear.

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Authors and Affiliations

  1. Mathematics Department, Texas A & M University, 77843, College Station, Texas

    S. A. Fulling (speaker) & G. Kennedy

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  1. S. A. Fulling
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  2. G. Kennedy
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Ian W. Knowles Yoshimi Saitō

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© 1987 Springer-Verlag

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Fulling, S.A., Kennedy, G. (1987). A closed form for the symbol of the resolvent parametrix of an elliptic operator. In: Knowles, I.W., Saitō, Y. (eds) Differential Equations and Mathematical Physics. Lecture Notes in Mathematics, vol 1285. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080588

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  • DOI: https://doi.org/10.1007/BFb0080588

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18479-9

  • Online ISBN: 978-3-540-47983-3

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