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Zbl 0826.35144
Ishimura, Ryuichi; Okada, Yasunori
The existence and the continuation of holomorphic solutions for convolution equations in tube domains. (English)
[J] Bull. Soc. Math. Fr. 122, No.3, 413-433 (1994). ISSN 0037-9484

For a hyperfunction $\mu = \mu(x)$ with compact support, the authors prove the solvability of the convolution equation $\mu* f = g$ $(f,g$ holomorphic), as well as the analytic continuation of the homogeneous equation $ \mu* f = 0$.
[J.Appell (Würzburg)]

MSC 2000:: *35R50 PDE of infinite order
46F15 Hyperfunctions, analytic functionals
32A15 Entire functions (several variables)

Keywords: solvability of the convolution equation; analytic continuation

Cited in: Zbl 0967.45002 Zbl 0930.45001 Zbl 0921.32003

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