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Symbols and formal symbols of pseudodifferential operators. (English) Zbl 0579.58029

Group representations and systems of differential equations, Proc. Symp., Tokyo 1982, Adv. Stud. Pure Math. 4, 181-208 (1984).
[For the entire collection see Zbl 0566.00014.]
A calculus of pseudodifferential operators in the analytic category is presented. Operators of infinite order are included in three classes of operators. An approach initiated by Kataoka, using Radon transformations, is taken.
Reviewer: G.Warnecke

MSC:

58J40 Pseudodifferential and Fourier integral operators on manifolds
35S05 Pseudodifferential operators as generalizations of partial differential operators

Citations:

Zbl 0566.00014