@article{ASENS_1996_4_29_6_669_0, author = {Leichtnam, \'Eric and Golse, Fran\c{c}ois and Stenzel, Matthew}, title = {Intrinsic microlocal analysis and inversion formulae for the heat equation on compact real-analytic riemannian manifolds}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {669--736}, publisher = {Elsevier}, volume = {Ser. 4, 29}, number = {6}, year = {1996}, doi = {10.24033/asens.1751}, mrnumber = {97h:58153}, zbl = {0889.32037}, language = {en}, url = {http://www.numdam.org/articles/10.24033/asens.1751/} }
TY - JOUR AU - Leichtnam, Éric AU - Golse, François AU - Stenzel, Matthew TI - Intrinsic microlocal analysis and inversion formulae for the heat equation on compact real-analytic riemannian manifolds JO - Annales scientifiques de l'École Normale Supérieure PY - 1996 SP - 669 EP - 736 VL - 29 IS - 6 PB - Elsevier UR - http://www.numdam.org/articles/10.24033/asens.1751/ DO - 10.24033/asens.1751 LA - en ID - ASENS_1996_4_29_6_669_0 ER -
%0 Journal Article %A Leichtnam, Éric %A Golse, François %A Stenzel, Matthew %T Intrinsic microlocal analysis and inversion formulae for the heat equation on compact real-analytic riemannian manifolds %J Annales scientifiques de l'École Normale Supérieure %D 1996 %P 669-736 %V 29 %N 6 %I Elsevier %U http://www.numdam.org/articles/10.24033/asens.1751/ %R 10.24033/asens.1751 %G en %F ASENS_1996_4_29_6_669_0
Leichtnam, Éric; Golse, François; Stenzel, Matthew. Intrinsic microlocal analysis and inversion formulae for the heat equation on compact real-analytic riemannian manifolds. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 29 (1996) no. 6, pp. 669-736. doi : 10.24033/asens.1751. http://www.numdam.org/articles/10.24033/asens.1751/
[B-L-R] Scattering Frequencies and Gevrey 3 Singularities (Inv. Math., Vol. 90, 1987, pp. 77-114). | MR | Zbl
, and ,[B-G-M] Le Spectre d'une Variété Riemannienne (Lecture Notes in Mathematics, 194, Springer Verlag). | MR | Zbl
, and ,[BdM] Convergence dans le domaine complexe des séries de fonctions propres (C. R. Acad. Sc. Paris, T. 287, Series A, 1978, pp. 855-856). | MR | Zbl
,[Bo] Compact Clifford-Klein forms of symmetric spaces (Topology, Vol. 2, 1963, pp. 111-122). | MR | Zbl
,[B-W] Quelques propriétés fondamentales des ensembles analytiques-réels (Commentarii Math. Helvet., Vol. 33, 1959, pp. 132-160). | MR | Zbl
and ,[C-P] Introduction à la Théorie des Équations aux Dérivées Partielles Linéaires, Gauthier-Villars. | Zbl
,[C] Noncommutative Geometry (Academic Press, New York 1994). | MR | Zbl
,[D] FBI Transformation, Second Microlocalization and Semilinear Caustics, (Lecture Notes in Mathematics, 1522, Springer Verlag). | Zbl
,[D-G] The Spectrum of Positive Elliptic Operators and Periodic Bicharacteristics (Inv. Math., Vol. 29, 1975, pp. 39-79). | MR | Zbl
and ,[E-M] Shrinking tubes and the ∂-Neumann problem, preprint 1991.
and ,[G] Toeplitz Operators in n-dimensions, Integral Equations and Operator Theory, Vol. 7, 1984, pp. 145-205. | MR | Zbl
,[G-S1] Grauert tubes and the homogeneous Monge-Ampère equation. I (J. Differential Geometry, Vol. 34, 1991, pp. 561-570). | MR | Zbl
and ,[G-S2] Grauert tubes and the homogeneous Monge-Ampère equation. II (J. Differential Geometry, Vol. 35, 1992, pp. 627-641). | MR | Zbl
and ,[He1] Differential Geometry, Lie Groups, and Symmetric Spaces, 2nd ed. (Academic Press, 1978). | Zbl
,[He2] Groups and Geometric Analysis (Academic Press, 1984). | MR | Zbl
,[Hz] Equivariant holomorphic extensions of real analytic manifolds, (Bull. Soc. Math. France, Vol. 121, 1993, pp. 445-463). | Numdam | MR | Zbl
,[Ho] The Structure of Lie Groups Holden-Day, 1965. | MR | Zbl
,[K] Off diagonal short time asymptotics for fundamental solutions of diffusion equations (Communication in P.D.E., Vol. 2, 1977, pp. 781-830). | MR | Zbl
,[L1] Contrôle analytique I : estimations a priori (Duke Math. J., Vol. 68, 1992, pp. 1-30). | MR | Zbl
,[L2] Deuxième microlocalisation sur les sous-variétés isotropes (Annales de l'Institut Fourier, Vol. 35, 1985, pp. 145-217). | Numdam | MR | Zbl
,[Le] Le problème de Cauchy ramifié linéaire pour des données à singularités algébriques (Mémoire de la SMF n° 53, 1993). | Numdam | MR | Zbl
,[L-S] Global solutions of the homogeneous complex Monge-Ampère equation and complex structures on the tangent bundle of Riemannian manifolds (Math. Ann., Vol. 290, 1991, pp. 689-712). | MR | Zbl
and ,[Sj] Singularités analytiques microlocales (Astérisque 95, 1982). | Numdam | MR | Zbl
,[W] Spaces of Constant Curvature, 2nd ed. Publish or Perish 1972. | MR | Zbl
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