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On the eigenvalues of a class of hypoelliptic operators. (English) Zbl 0375.35014

35H10 Hypoelliptic equations
35P20 Asymptotic distributions of eigenvalues in context of PDEs
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[1] Bolley, C., Camus, J., Pham, T.: Colloque d’?quations aux d?riv?es partielles de St-Jean-de-Monts (June 1977). Lecture Notes in Mathematics. Berlin, Heidelberg, New York: Springer (to appear)
[2] Boutet de Monvel, L.: Hypoelliptic operators with double characteristics and related pseudo-differential operators. Comm. Pure Appl. Math.27, 585-639 (1974) · Zbl 0294.35020
[3] Boutel de Monvel, L., Treves, F.: On a dass of pseudo-differential operators with double characteristics. Invent. Math.24, 1-34 (1974) · Zbl 0281.35083
[4] Boutel de Monvel, L., Treves, F.: On a class of pseudo-differential equations with double characteristics. Comm. Pure Appl. Math.27, 59-89 (1974) · Zbl 0286.35065
[5] Gaveau, B.: Principe de moindre action, propagation de la chaleur et estim?es sous elliptiques sur certains groupes nilpotents. Acta Math.139 (1977) · Zbl 0366.22010
[6] H?rmander, L.: The spectral function of an elliptic operator. Acta Math.121, 193-218 (1968) · Zbl 0164.13201
[7] Karamata, J.: Neuer Beweis und Verallgemeinerung der Tauberschen S?tze welche die Laplacesche und Stieltijesche Transformationen betreffen. J. Reine u. Angew. Math.164, 27-39 (1931) · JFM 57.0262.01
[8] Kucherenko, V.: Asymptotic solutions of equations with complex characteristics. Math. Sb.137, 163-213 (1974) · Zbl 0311.35007
[9] Melin, A.: Lower bounds for pseudo-differential operators. Arkiv f?r Math.9, 117-140 (1971) · Zbl 0211.17102
[10] Melin, A., Sj?strand, J.: Fourier integral operators with complex-valued phase functions. Lecture Notes in Mathematics 459, pp. 120-233. Berlin, Heidelberg, New York: Springer 1975 · Zbl 0306.42007
[11] Melin, A., Sj?strand, J.: Fourier integral operators with complex phase functions and a parametrix for an interior boundary value problem. Comm. P.D.E.1, 313-400 (1976) · Zbl 0364.35049
[12] Metivier, G.: Fonction spectrale et valeurs propres d’une class d’operateurs non elliptiques. Comm. P.D.E.1, 467-519 (1976) · Zbl 0376.35012
[13] Sj?strand, J.: Parametrices for pseudodifferential operators with multiple characteristics. Arkiv f?r Mat.12, 85-130 (1974) · Zbl 0317.35076
[14] Sj?strand, J.: Applications of Fourier distributions with complex phase function. Lecture Notes in Mathematics 459, 255-282. Berlin, Heidelberg, New York: Springer 1975
[15] Treves, F.: Solution of Cauchy problems modulo flat functions. Comm. P.D.E.1, 45-72 (1976)
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