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Zur Abschätzung der Spektralfunktion elliptischer Operatoren. (On the estimation of the spectral function of elliptic operators). (German) Zbl 0268.47053

MSC:
47F05 General theory of partial differential operators
35P05 General topics in linear spectral theory for PDEs
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References:
[1] Agmon, S.: Lectures on elliptic boundary value problems. Princeton: Van Nostrand 1965 · Zbl 0142.37401
[2] Agmon, S., Kannai, Y.: On the asymptotic behavior of spectral functions and resolvent kernels of elliptic operators. Israel J. Math.5, 1-30 (1967) · Zbl 0148.13003
[3] Agmon, S.: Asymptotic formulas with remainder estimates for eigenvalues of elliptic operators. Arch. rat. Mech. Analysis28, 165-183 (1968) · Zbl 0159.15903
[4] Agmon, S.: Asymptotic formulas with remainder estimates for eigenvalues of elliptic operators. In: Proceedings of the CIME Conference on Pseudodifferential Operators, (Stresa, 1968) pp. 1-10. Roma: Cremonese 1969 · Zbl 0159.15903
[5] Avakumovi?, V. G.: Seminar über elliptische Eigenwertprobleme. Ausarbeitung Aachen 1965
[6] Courant, R., Hilbert, D.: Methoden der mathematischen Physik I. Berlin: Springer 1930 · Zbl 0156.23201
[7] Gårding, L.: Eigenfunction expansions connected with elliptic differential operators. In: Tolfte Skandinaviska Matematikerkongressen (Lund, 1953) pp. 44-55. Lund: Lunds Universitets Matematiska Institution 1954 · Zbl 0053.39101
[8] Gromes, W.: Über das asymptotische Verhalten der Spektralfunktion elliptischer Systeme. Math. Z.118, 254-270 (1970) · Zbl 0199.42602
[9] Gromes, W.: Über die Spektralfunktion elliptischer Systeme auf Riemannschen Mannigfaltigkeiten. Math. Z.123, 340-350 (1971) · Zbl 0218.35073
[10] Hörmander, L.: On the Riesz means of spectral functions and eigenfunction expansions for elliptic differential operators. In: Some Recent Advances in the Basic Sciences, Vol. 2 (Proceedings of the Annual Science Conference, Belfer Graduate School of Sciences) (New York, 1965-1966). pp. 155-202. New York: Yeshiva University 1969
[11] Hörmander, L.: The spectral function of an elliptic operator. Acta math.121, 193-218 (1968) · Zbl 0164.13201
[12] Maruo, K., Tanabe, H.: On the asymptotic distribution of eigenvalues of operators associated with strongly elliptic sesquilinear forms. Proc. Japan Acad.47, 268-270 (1971) · Zbl 0225.35074
[13] Niemeyer, H.: Eine Verschärfung der asymptotischen Gesetze der Hohlraumschwingungen. Arch. rat. Mech. Analysis7, 412-433 (1961) · Zbl 0104.43607
[14] Niemeyer, H.: Über die elastischen Eigenschwingungen endlicher Körper. Arch. rat. Mech. Analysis19, 24-61 (1965) · Zbl 0127.05301
[15] Tulovskii, V. N.: Asymptotic distribution of eigenvalues of differential operators with variable coefficients. Soviet. Math., Doklady13, 1341-1344 (1972) · Zbl 0263.35081
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