Literatur
Agmon, S.: Lectures on elliptic boundary value problems. Princeton: Van Nostrand 1965
Agmon, S., Kannai, Y.: On the asymptotic behavior of spectral functions and resolvent kernels of elliptic operators. Israel J. Math.5, 1–30 (1967)
Agmon, S.: Asymptotic formulas with remainder estimates for eigenvalues of elliptic operators. Arch. rat. Mech. Analysis28, 165–183 (1968)
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
Avakumović, V. G.: Seminar über elliptische Eigenwertprobleme. Ausarbeitung Aachen 1965
Courant, R., Hilbert, D.: Methoden der mathematischen Physik I. Berlin: Springer 1930
Gårding, L.: Eigenfunction expansions connected with elliptic differential operators. In: Tolfte Skandinaviska Matematikerkongressen (Lund, 1953) pp. 44–55. Lund: Lunds Universitets Matematiska Institution 1954
Gromes, W.: Über das asymptotische Verhalten der Spektralfunktion elliptischer Systeme. Math. Z.118, 254–270 (1970)
Gromes, W.: Über die Spektralfunktion elliptischer Systeme auf Riemannschen Mannigfaltigkeiten. Math. Z.123, 340–350 (1971)
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
Hörmander, L.: The spectral function of an elliptic operator. Acta math.121, 193–218 (1968)
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)
Niemeyer, H.: Eine Verschärfung der asymptotischen Gesetze der Hohlraumschwingungen. Arch. rat. Mech. Analysis7, 412–433 (1961)
Niemeyer, H.: Über die elastischen Eigenschwingungen endlicher Körper. Arch. rat. Mech. Analysis19, 24–61 (1965)
Tulovskii, V. N.: Asymptotic distribution of eigenvalues of differential operators with variable coefficients. Soviet. Math., Doklady13, 1341–1344 (1972)
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Brüning, J. Zur Abschätzung der Spektralfunktion elliptischer Operatoren. Math Z 137, 75–85 (1974). https://doi.org/10.1007/BF01213936
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DOI: https://doi.org/10.1007/BF01213936