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

Shmuel Agmon; Yakar Kannai

doi:10.1007/BF02771593

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

Shmuel Agmon^*, Yakar Kannai

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

58 Scopus citations

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.

Original language	English
Pages (from-to)	1-30
Number of pages	30
Journal	Israel Journal of Mathematics
Volume	5
Issue number	1
DOIs	https://doi.org/10.1007/BF02771593
State	Published - Jan 1967

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title = "On the asymptotic behavior of spectral functions and resolvent kernels of elliptic operators",

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

Abstract

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