On the asymptotic behavior of resolvent kernels for elliptic operators

Michihiro NAGASE

doi:10.2969/jmsj/02530464

Michihiro NAGASE

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JOURNAL FREE ACCESS

1973 Volume 25 Issue 3 Pages 464-474

DOI https://doi.org/10.2969/jmsj/02530464

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Published: 1973 Received: June 01, 1972 Available on J-STAGE: September 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) S. Agmon, Lecture on elliptic boundary value problems, VAN NOSTRAND,1965.
2) S. Agmon, On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems, Comm. Pure Appl. Math., 18 (1965), 627-663.
3) S. Agmon, Asymptotic formulas with remainder estimates for eigenvalues of elliptic operators, Arch. Rational Mech. Anal., 28 (1967), 165-183.
4) S. Agmon and Y. Kannai, On the asymptotic behavior of spectral functions and resolvent kernels of elliptic operators, Israel J. Math., 5 (1967), 1-30.
5) L. Hörmander, On the Riesz means of spectral functions and eigenfunction expansions for elliptic differential operators, Yeshiva Univ., 1966.
6) L. Hörmander, Pseudo-differential operators and hypoelliptic equations, Proc. Symposium on Singular Integrals, Amer. Math. Soc., 10 (1967), 288-307.
7) Y. Kannai, On the asymptotic behavior of resolvent kernels, spectral functions and eigenvalues of semi-elliptic systems, Ann. Scuola Norm. Sup. Pisa, Ser. 3, 23 (1969), 563-584.
8) H. Kumano-go, Algebras of pseudo-differential operators, J. Fac. Sci. Univ. Tokyo, 17 (1970), 31-50.
9) K. Maruo, Asymptotic distribution of eigenvalues of non-symmetric operators associated with strongly elliptic sesquilinear forms, to appear.

Right : [1] S. Agmon, Lecture on elliptic boundary value problems, VAN NOSTRAND, 1965.
[2] S. Agmon, On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems, Comm. Pure Appl. Math., 18 (1965), 627-663.
[3] S. Agmon, Asymptotic formulas with remainder estimates for eigenvalues of elliptic operators, Arch. Rational Mech. Anal., 28 (1967), 165-183.
[4] S. Agmon and Y. Kannai, On the asymptotic behavior of spectral functions and resolvent kernels of elliptic operators, Israel J. Math., 5 (1967), 1-30.
[5] L. Hörmander, On the Riesz means of spectral functions and eigenfunction expansions for elliptic differential operators, Yeshiva Univ., 1966.
[6] L. Hörmander, Pseudo-differential operators and hypoelliptic equations, Proc. Symposium on Singular Integrals, Amer. Math. Soc., 10 (1967), 288-307.
[7] Y. Kannai, On the asymptotic behavior of resolvent kernels, spectral functions and eigenvalues of semi-elliptic systems, Ann. Scuola Norm. Sup. Pisa, Ser. 3, 23 (1969), 563-584.
[8] H. Kumano-go, Algebras of pseudo-differential operators, J. Fac. Sci. Univ. Tokyo, 17 (1970), 31-50.
[9] K. Maruo, Asymptotic distribution of eigenvalues of non-symmetric operators associated with strongly elliptic sesquilinear forms, to appear.

Date of correction: September 29, 2006 Reason for correction: - Correction: PDF FILE Details: -

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