×

Front d’onde analytique et décomposition microlocale des distributions. (French) Zbl 0488.35078


MSC:

35S05 Pseudodifferential operators as generalizations of partial differential operators
46F12 Integral transforms in distribution spaces
46F20 Distributions and ultradistributions as boundary values of analytic functions
42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type

References:

[1] [1] , , Décomposition microlocale analytique des distributions, Ann. Inst. Fourier, Grenoble, 29-3 (1979), 101-124. · Zbl 0396.46039
[2] [2] , Propagation des singularités diff��rentiables pour une classe d’opérateurs différentiels à coefficients analytiques, Astérisque, 34-35 (1976), 43-91. · Zbl 0344.35075
[3] [3] , , Causality and local analyticity : mathematical study, Ann. Inst. H. Poincaré, section A, 18 (2) (1973), 147-184. · Zbl 0286.42016
[4] [4] , , Tuboïdes dans Cn et généralisation d’un théorème de Grauert, Ann. Inst. Fourier, Grenoble, 26-3 (1976), 49-72. · Zbl 0336.32003
[5] [5] , An introduction to complex analysis in several variables, North-Holland Publ. Comp., 1973. · Zbl 0271.32001
[6] [6] , Sur le “wave front set” analytique d’une distribution, Bull. Acad. Roy. Belgique, (1982), 782-796. · Zbl 0517.35066
[7] [7] , Fonctions harmoniques et spectre singulier, Ann. Sc. Ec. Norm. Sup., 4e série, 13 (2) (1980), 269-291. · Zbl 0446.46035
[8] [8] , Decomposition of analytic functions on Rn in sum of holomorphic functions in conic tubes, Bull. Soc. Sc. Liège, 49e année, 9-10 (1980), 347-357. · Zbl 0476.32018
[9] [3] , , The longitudinal index theorem for foliations · Zbl 0575.58030
[10] [10] , , Fourier integral operators with complex phase functions and parametrix for an interior boundary value problem, Comm. in Part. Diff. Eq., 1 (4) (1976), 313-400. · Zbl 0364.35049
[11] [11] , , , Hyperfunctions and pseudo-differential equations, Springer Lecture Notes in Math., 287 (1971), 265-529. · Zbl 0277.46039
[12] [12] , Théorie des hyperfonctions, Springer Lecture Notes in Math., 126 (1970). · Zbl 0192.47305
[13] [13] , Propagation of analytic singularities for second order Dirichlet problems, Comm. in Part. Diff. Eq., 5 (1) (1980), 41-94. · Zbl 0458.35026
[14] [14] , Analytic singularities and microhyperbolic boundary value problems, Math. Ann., 254 (1980), 211-256. · Zbl 0459.35007
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.