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


MSC:

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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[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).
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[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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