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Title: The Laplace transform of analytic vector-valued functions (real conditions) (English)
Author: Sova, Miroslav
Language: English
Journal: Časopis pro pěstování matematiky
ISSN: 0528-2195
Volume: 104
Issue: 2
Year: 1979
Pages: 188-199
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Category: math
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MSC: 46F12
idZBL: Zbl 0434.46023
idMR: MR531931
DOI: 10.21136/CPM.1979.118016
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Date available: 2009-09-23T08:59:01Z
Last updated: 2020-07-29
Stable URL: http://hdl.handle.net/10338.dmlcz/118016
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Reference: [1] Sova M.: Linear differential equations in Banach spaces.Rozpravy Československé akademie věd, Řada matematických a přírodních věd, 85 (1975), No. 6, 1-82. Zbl 0333.34055, MR 0481342
Reference: [2] Sova M.: The Laplace transform of exponentially Lipschitzian vector-valued functions.(to appear in this Journal). MR 0553171
Reference: [3] Sova M.: The Laplace transform of exponentially weakly compactly bounded vector-valued functions.(to appear in this Journal).
Reference: [4] Miyadera I.: On the representation theorem by the Laplace transform of vector-valued functions.Tohoku Math. J., 8 (1956), 170-180. MR 0083701
Reference: [5] Widder D. V.: The Laplace Transform.1946. Zbl 0139.29504
Reference: [6] Yosida K.: On the differentiability of semi-groups of linear operators.Proc. Japan Acad. 34 (1958), 337-340. Zbl 0083.11003, MR 0098990
Reference: [7] Yosida K.: Functional analysis.1974. Zbl 0830.46001, MR 0350358
Reference: [8] Hille E., Phillips R. S.: Functional analysis and semigroups.1957. Zbl 0078.10004
Reference: [9] Mizohata S.: The theory of partial differential equations.1973. Zbl 0263.35001, MR 0599580
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