Théorie spectrale d'une classe d'opérateurs différentiels hypoelliptiques
Journées équations aux dérivées partielles (1976), article no. 13, 59 p.
@incollection{JEDP_1976____A13_0,
     author = {Pham The Lai},
     title = {Th\'eorie spectrale d'une classe d'op\'erateurs diff\'erentiels hypoelliptiques},
     booktitle = {},
     series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     eid = {13},
     pages = {1--59},
     publisher = {Ecole polytechnique},
     year = {1976},
     language = {fr},
     url = {http://www.numdam.org/item/JEDP_1976____A13_0/}
}
TY  - JOUR
AU  - Pham The Lai
TI  - Théorie spectrale d'une classe d'opérateurs différentiels hypoelliptiques
JO  - Journées équations aux dérivées partielles
PY  - 1976
SP  - 1
EP  - 59
PB  - Ecole polytechnique
UR  - http://www.numdam.org/item/JEDP_1976____A13_0/
LA  - fr
ID  - JEDP_1976____A13_0
ER  - 
%0 Journal Article
%A Pham The Lai
%T Théorie spectrale d'une classe d'opérateurs différentiels hypoelliptiques
%J Journées équations aux dérivées partielles
%D 1976
%P 1-59
%I Ecole polytechnique
%U http://www.numdam.org/item/JEDP_1976____A13_0/
%G fr
%F JEDP_1976____A13_0
Pham The Lai. Théorie spectrale d'une classe d'opérateurs différentiels hypoelliptiques. Journées équations aux dérivées partielles (1976), article  no. 13, 59 p. http://www.numdam.org/item/JEDP_1976____A13_0/

[1] S. Agmon - Y. Kannai, On the asymptotic behavior of spectral functions and resolvent kernels of elliptic operators, Israel J. Math, 5 (1967), 1-30. | MR | Zbl

[2] R. Beals, Spacially inhomogeneous pseudo-differential operator II, Comm. Pure Appl. Math, 27 (1974), 161-205. | MR | Zbl

[3] R. Beals - C. Fefferman, Spatially inhomogeneous pseudo-differential operator I, Comm. Pure Appl. Math., 27 (1974), 1-24. | MR | Zbl

[4] G. Eskin, Asymptotics near the boundary of spectral functions of elliptic self-adjoint boundary problems, Israel J. Math. 22 (1975), 214-246. | MR | Zbl

[5] L. Hörmander, Pseudo-differential operators and hypoelliptic equations, Amer. Math. Soc. Proc. Symp. Pure Math., 10 (1966), 138-183. | Zbl

[6] L. Hörmander, The spectral function of an elliptic operator, Acta Math., 121 (1968), 193-218. | MR | Zbl

[7] Y. Kannai, On the asymptotic behavior of resolvents kernels, spectral functions and eigenvalues of semi-elliptic systems, Annali Sc. Norm. Sup. Pisa, 23 (1969), 563-634. | Numdam | MR | Zbl

[8] J. Milnor, Singular points of complex hypersurfaces, Princeton Univ. Press, Ann. Math. Studies, 61 (1968). | MR | Zbl

[9] N. Nilsson, Some estimates for eigenfunction expansions and spectral functions corresponding to elliptic differential operators, Math. Scand., 9 (1961), 107-121. | MR | Zbl

[10] N. Nilsson, Asymptotic estimates for spectral functions connected with hypoelliptic differential operators, Arch. för Math., 35 (1964), 527-540. | MR | Zbl

[11] N. Nilsson, Some estimates for spectral functions connected with formally hypoelliptic differential operators, Arch. för Math., 10 (1972), 251-275. | MR | Zbl

[12] Pham The Lai, Comportement asymptotique du noyau de la résolvante et des valeurs propres d'un opérateur elliptique non nécessairement auto-adjoint, à paraître dans Israel J. Math. | Zbl

[13] S. A. Smagin, Fractional powers of an hypoelliptic operator in ℝn, Soviet Math. Dokl., 14 (1973), 585-588. | MR | Zbl

[14] A. Tsutsumi, On the asymptotic behaviour of resolvant kernels and spectral functions for some class of hypoelliptic operators, J. Diff. Eq., 18 (1975), 366-385. | MR | Zbl