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A characterization of holomorphic semigroups. (English) Zbl 0199.45604

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[1] Einar Hille and Ralph S. Phillips, Functional analysis and semi-groups, American Mathematical Society Colloquium Publications, vol. 31, American Mathematical Society, Providence, R. I., 1957. rev. ed. · Zbl 0078.10004
[2] J. W. Neuberger Analyticity and quasi-analyticity for one-parameter semi-groups, (to appear). · Zbl 0194.44102
[3] Kôsaku Yosida, On the differentiability of semigroups of linear operators, Proc. Japan Acad. 34 (1958), 337 – 340. · Zbl 0083.11003
[4] Tosio Kato, Perturbation theory for linear operators, Die Grundlehren der mathematischen Wissenschaften, Band 132, Springer-Verlag New York, Inc., New York, 1966. · Zbl 0148.12601
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