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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

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The resolvent parametrix of the general elliptic linear differential operator: a closed form for the intrinsic symbol
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by S. A. Fulling and G. Kennedy PDF
Trans. Amer. Math. Soc. 310 (1988), 583-617 Request permission

Abstract:

Nonrecursive, explicit expressions are obtained for the term of arbitrary order in the asymptotic expansion of the intrinsic symbol of a resolvent parametrix of an elliptic linear differential operator, of arbitrary order and algebraic structure, which acts on sections of a vector bundle over a manifold. Results for the conventional symbol are included as a special case.
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 310 (1988), 583-617
  • MSC: Primary 58G15; Secondary 35J30, 35S05
  • DOI: https://doi.org/10.1090/S0002-9947-1988-0973171-5
  • MathSciNet review: 973171