Invertibility of microdifferential operators of infinite order. (English) Zbl 0512.35077


35S05 Pseudodifferential operators as generalizations of partial differential operators
32A10 Holomorphic functions of several complex variables
58J40 Pseudodifferential and Fourier integral operators on manifolds
32A22 Nevanlinna theory; growth estimates; other inequalities of several complex variables
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[1] L. Boutet de Monvel, Operateurs pseudo-differentiels analytiques et operateurs d’ordre infini, Ann. Inst. Fourier, Grenoble, 22 (1972), 229-268. · Zbl 0235.47029
[2] M. Kashiwara and T. Kawai, On holonomic systems of microdifferential equations III, Publ. RIMS, Kyoto Univ., 17 (1981), 813-979. · Zbl 0505.58033
[3] , Second-microlocalization and asymptotic expansions, Lect. Notes in Phys. No. 126, Springer, pp. 21-76 (1980). · Zbl 0458.46027
[4] M. Kashiwara and P. Schapira, Probleme de Cauchy pour les systemes micro- dirfe’rentiels dans le domaine complexe, Inventiones math. 46 (1978), 17-38. · Zbl 0369.35061
[5] , Micro-hyperbolic systems, Acta Math. 142 (1979), 1-55. · Zbl 0413.35049
[6] K. Kataoka, On the theory of Radon transformations of hyperfunctions, Master’s thesis in the Univ. of Tokyo (1976, in Japanese).
[7] j On the theory of Radon transformations of hyperfunctions, J. Fac. Sci. Univ. Tokyo, Sect. I A, 28, (1981), 331-413. · Zbl 0576.32008
[8] T. Kawai, On the theory of Fourier hyperfunctions and its applications to partial differential equations with constant coefficients, J. Fac. Sci. Univ. Tokyo, Sect. I A, 17 (1970), 467-517. · Zbl 0212.46101
[9] H. Komatsu, Ultradistributions, II, The kernel theorem and ultradistributions with support in a submanifold, J. Fac. Sci. Univ. Tokyo, Sect. I A, 24 (1977), 607-628. · Zbl 0385.46027
[10] M. Sato, T. Kawai and M. Kashiwara, Hyperfunctions and pseudo-differential equa- tions, Lect. Notes in Math. 287, Springer, (1973) 265-529. · Zbl 0277.46039
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