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On the asymptotic behavior of spectral functions and resolvent kernels of elliptic operators

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Abstract

Asymptotic formulas with remainder estimates are derived for spectral functions of general elliptic operators. The estimates are based on asymptotic expansion of resolvent kernels in the complex plane.

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Authors and Affiliations

  1. The Hebrew University of Jerusalem, Israel

    Shmuel Agmon & Yakar Kannai

  2. The Israel Institute for Biological Research, Israel

    Shmuel Agmon & Yakar Kannai

Authors
  1. Shmuel Agmon
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  2. Yakar Kannai
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Additional information

The research of the first author reported in this document has been sponsored by the Air Force Office of Scientific Research under Grant AF EOAR 66–18, through the European Office of Aerospace Research (OAR) United States Air Force.

This paper is to be part of the second author’s Ph.D. thesis written under the direction of the first author at the Hebrew University of Jerusalem.

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Agmon, S., Kannai, Y. On the asymptotic behavior of spectral functions and resolvent kernels of elliptic operators. Israel J. Math. 5, 1–30 (1967). https://doi.org/10.1007/BF02771593

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  • DOI: https://doi.org/10.1007/BF02771593

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