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

60 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

Access to Document

10.1007/BF02771593

Cite this

@article{7bfe43e020d94dfca3082bd287b36a59,

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.",

author = "Shmuel Agmon and Yakar Kannai",

year = "1967",

month = jan,

doi = "10.1007/BF02771593",

language = "אנגלית",

volume = "5",

pages = "1--30",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - On the asymptotic behavior of spectral functions and resolvent kernels of elliptic operators

AU - Agmon, Shmuel

AU - Kannai, Yakar

PY - 1967/1

Y1 - 1967/1

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/51249189640

U2 - 10.1007/BF02771593

DO - 10.1007/BF02771593

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:51249189640

SN - 0021-2172

VL - 5

SP - 1

EP - 30

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 1

ER -

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

Abstract

Access to Document

Other files and links

Fingerprint

Cite this