Duistermaat, J. J.; Hörmander, L. Fourier integral operators. II. (English) Zbl 0232.47055 Acta Math. 128, 183-269 (1972). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 25 ReviewsCited in 352 Documents MSC: 47G10 Integral operators 35S30 Fourier integral operators applied to PDEs 35S05 Pseudodifferential operators as generalizations of partial differential operators 47G30 Pseudodifferential operators Citations:Zbl 0235.47024; Zbl 0212.466 × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Andersson, K. G., Propagation of analyticity of solutions of partial differential equations with constant coefficients, Ark. Mat., 8, 277-302 (1970) · Zbl 0211.40502 [2] Birkhoff, G. D.,Dynamical systems. Amer. Math. Soc. Coll. Publ. 9, New York, 1927. · JFM 53.0732.01 [3] Bourbaki, N.,Espaces vectoriels topologiques. Paris, 1953-55. · Zbl 0042.35302 [4] Bjorken, J. D.; Drell, S., Relativistic quantum fields (1965), New York: Mc Graw-Hill, New York · Zbl 0184.54201 [5] Courant, R.; Lax, P. D., The propagation of discontinuities in wave motion, Proc. Nat. Acad. Sci. USA, 42, 873-876 (1956) · Zbl 0072.30803 · doi:10.1073/pnas.42.11.872 [6] DeWitt, B. S., Dynamical theory of groups and fields.Relativity, groups and topology, 585-820 (1964), New York-London: Gordon and Breach, New York-London · Zbl 0148.46102 [7] Dieudonne, J.; Schwartz, L., La dualité dans les espaces (£) et (ℒ£), Ann. Inst. Fourier (Grenoble), 1, 61-101 (1949) · Zbl 0035.35501 [8] Dugundji, J.; Antosiewicz, H. A., Parallelizable flows and Lyapunov’s second method, Ann. of Math., 73, 543-555 (1961) · Zbl 0101.30302 · doi:10.2307/1970316 [9] Gårding, L.; Kotake, T.; Leray, J., Uniformisation et développement asymptotique de la solution du problème de Cauchy linéaire, à données holomorphes; analogie avec la théorie des ondes asymptotiques et approchées (Problème de Cauchy Ibis et VI), Bull. Soc. Math. France, 92, 263-361 (1964) · Zbl 0147.08101 [10] Grušin, V. V., The extension of smoothness of solutions of differential equations of principal type, Dokl. Akad. Nauk SSSR, 148, 1241-1244 (1963) · Zbl 0166.36403 [11] Hadamard, J., Le problème de Cauchy et les équations aux dérivées partielles linéaires hyperboliques (1932), Paris: Hermann, Paris · JFM 58.0519.16 [12] Haefliger, A., Variétés feuilletées, Ann. Scuola Norm. Sup. Pisa, 16, 367-397 (1962) · Zbl 0122.40702 [13] Hörmander, L., Introduction to complex analysis in several variables (1965), Princeton, N. J.: D. van Nostrand Publ. Co., Princeton, N. J. · Zbl 0138.06203 [14] Hörmander, L., Pseudo-differential operators and non-elliptic boundary problems, Ann. of Math., 83, 129-209 (1966) · Zbl 0132.07402 · doi:10.2307/1970473 [15] Hörmander, L., On the singularities of solutions of partial differential equations, Comm. Pure Appl. Math., 23, 329-358 (1970) · Zbl 0193.06603 [16] Hörmander, L., Uniqueness theorems and wave front sets for solutions of linear differential equations with analytic coefficients, Comm. Pure Appl. Math., 24, 671-704 (1971) · Zbl 0226.35019 [17] Hörmander, L., Linear differential operators, Actes Congr. Intern. Math. Nice, 1, 121-133 (1970) · Zbl 0223.35083 [18] Hörmander, L., On the existence and the regularity of solutions of linear pseudo-differential equations, L’Enseignement Math., 17, 99-163 (1971) · Zbl 0224.35084 [19] Palais, R., A global formulation of the Lie theory of transformation groups.Mem. Amer. Math. Soc., 22 (1957). · Zbl 0178.26502 [20] Malgrange,B., Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution.Ann. Inst. Fourier (Grenoble), 6 (1955-56), 271-355. · Zbl 0071.09002 [21] Riesz, M., L’intégrale de Riemann-Liouville et le problème de Cauchy, Acta Math., 81, 1-223 (1949) · Zbl 0033.27601 · doi:10.1007/BF02395016 [22] Steenrod, N., The topology of fiber bundles (1951), Princeton: Princeton Univ. Press, Princeton · Zbl 0054.07103 [23] Unterberger, A.; Bokobza, J., Les opérateurs pseudo-différentiels d’ordre variable, C. R. Acad. Sci. Paris, 261, 2271-2273 (1965) · Zbl 0143.37003 [24] Whitney, H., Regular families of curves, Ann. of Math., 34, 244-270 (1933) · JFM 59.1256.04 · doi:10.2307/1968202 [25] Zerner, M., Solutions singulières d’équations aux dérivées partielles, Bull. Soc. Math. France, 91, 203-226 (1963) · Zbl 0196.39001 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.