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Hyperfunction solutions of the abstract Cauchy problem. (English) Zbl 0234.46045


MSC:

46F15 Hyperfunctions, analytic functionals
Full Text: DOI

References:

[1] J. Chazarain: Probleme de Cauchy et applications a quelques problemes mixtes (to appear in J. Functional Analysis). · Zbl 0211.12902 · doi:10.1016/0022-1236(71)90027-9
[2] G. Da Prato and U. Mosco: Semi gruppi distribuzioni analitici. Ann. Sc. Norm. Sup. Pisa, 19, 367-396 (1965). · Zbl 0198.47202
[3] D. Fujiwara: A characterisation of exponential distribution semi-groups. J. Math. Soc. Japan, 18(3), 267-274 (1966). · Zbl 0148.13001 · doi:10.2969/jmsj/01830267
[4] J. L. Lions: Les semi groupes distributions. Portug. Math., 19, 141-164 (1960). · Zbl 0103.09001
[5] K. Masuda: On the holomorphic semi-group (to appear). · Zbl 0662.46074
[6] M. Sato: The theory of hyperfunctions. I. J. Fac. Sci. Univ. Tokyo, 8, 139-194 (1959). · Zbl 0087.31402
[7] T. Ushijima: Some properties of regular distribution semi-groups. Proc. Japan Acad., 45, 224-227 (1969). · Zbl 0184.16403 · doi:10.3792/pja/1195520796
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