Hirschowitz, A.; Piriou, A. Propriétés de transmission pour les distributions intégrals de Fourier. (French) Zbl 0456.58028 Commun. Partial Differ. Equations 4, 113-217 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 4 Documents MSC: 58J40 Pseudodifferential and Fourier integral operators on manifolds 58J45 Hyperbolic equations on manifolds 58J47 Propagation of singularities; initial value problems on manifolds Keywords:hyperbolic operator with characteristics of constant multiplicity; Fourier integral operators; transmission property for Fourier distributions; strongly hyperbolic operator Citations:Zbl 0206.394; Zbl 0369.35062; Zbl 0247.47010 PDFBibTeX XMLCite \textit{A. Hirschowitz} and \textit{A. Piriou}, Commun. Partial Differ. Equations 4, 113--217 (1979; Zbl 0456.58028) Full Text: DOI References: [1] Melrose Andersson, Invent. math 41 pp 197– (1977) · Zbl 0373.35053 · doi:10.1007/BF01403048 [2] Bott-Garoing Atiyah, Acta Mathemtica 124 pp 109– (1970) · Zbl 0191.11203 · doi:10.1007/BF02394570 [3] Bott-Garding Atiyah, Acta Mathematics 131 pp 145– (1973) · Zbl 0266.35045 · doi:10.1007/BF02392039 [4] de Monvel Boutet, Acta Mathetratica 126 pp 11– (1971) · Zbl 0206.39401 · doi:10.1007/BF02392024 [5] Chazarain, Ann. Inst. Fourier, Grenoble 24 (1) pp 173– (1974) · Zbl 0274.35045 · doi:10.5802/aif.497 [6] Chazarain, Astéisque pp 165– (1976) [7] Chazarain, Reflection of C singularities for a class of operators with multiple characteristics (1976) · Zbl 0365.35050 · doi:10.2977/prims/1195196596 [8] Duistermaat, Courant Institute of Math. Sciences. New York University (1973) [9] Duistermaat, Comm. Pure and Applied Math. pp 207– (1974) · Zbl 0285.35010 · doi:10.1002/cpa.3160270205 [10] Hormander Duistermaat, Acta Mathematics 128 pp 183– (1972) · Zbl 0232.47055 · doi:10.1007/BF02392165 [11] Eskin. 1967. The Cauchy problem for hyperbolic systems convolution.Trad. Math. USSR Sbornik, 3(2) [12] Garding, Sharp fronts of paired oscillatory integrals (1976) · Zbl 0369.35062 · doi:10.2977/prims/1195196597 [13] Chilov Guelfand, Les distributions (1962) [14] Piriou Hirschowitz, Séminaire Gouladuic-Schwartz (1976) [15] Hormander, Linear Partial Differential Operators (1969) · doi:10.1007/978-3-662-30722-9 [16] Hormander, Acta Mathernatica 127 pp 79– (1971) · Zbl 0212.46601 · doi:10.1007/BF02392052 [17] Kato J., Jap. Acad. 47 pp 67– (1971) · Zbl 0218.35058 · doi:10.3792/pja/1195520114 [18] Leray, Sérninaire EDP, Collége de France (1972) [19] Maslov, Théorie des perturbations et méthods asyrnptotiques. Duond (1972) [20] Maslov, Actes Congrhs Intern. Math. Nice 2 pp 755– (1970) [21] Melrose, Invent. Math. 37 pp 165– (1976) · Zbl 0354.53033 · doi:10.1007/BF01390317 [22] Nirenberg, Aegional Conf. series In Math. (1973) · doi:10.1090/cbms/017 [23] Peetre, Math. Scand. 7 pp 211– (1959) · Zbl 0089.32502 · doi:10.7146/math.scand.a-10574 [24] Piriou, Journées E.D.P.Lecture Notes in Math. pp 172– (1937) [25] Massey Rauch, Trans. Amer. Math. Soc. 189 pp 303– (1974) [26] Schwartz, Thkorie des distributions (1966) [27] Taylor, Comm. Pure Appl. Math. 28 pp 457– (1975) · Zbl 0332.35058 · doi:10.1002/cpa.3160280403 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.