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On hyperfunctions with analytic parameters. (English) Zbl 0682.32004
Algebraic analysis, Pap. Dedicated to Prof. Mikio Sato on the Occas. of his Sixtieth Birthday, Vol. 1, 267-276 (1989).
[For the entire collection see Zbl 0665.00008.]
At first the author exposes the notion of hyperfunctions with analytic parameters, surveys their fundamental properties and stresses the unique continuation properties. For example, he gives a sketch of an elemental proof of the theorem of Holmgren type due to M. Kashiwara, T. Kawai and T. Kimura [Foundations of algebraic analysis (1986; Zbl 0605.35001) (original Japanese 1980)], proves analyticity discrete loci and applies to germs of solutions of the wave equation.
Reviewer: J.Kajiwara

MSC:
32A45 Hyperfunctions
58J40 Pseudodifferential and Fourier integral operators on manifolds