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Title: General representability problem for the Laplace transform of exponentially bounded vector-valued functions (English)
Author: Sova, Miroslav
Language: English
Journal: Časopis pro pěstování matematiky
ISSN: 0528-2195
Volume: 107
Issue: 1
Year: 1982
Pages: 69-89
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Category: math
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MSC: 44A10
idZBL: Zbl 0517.44001
idMR: MR651083
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Date available: 2009-09-23T09:13:28Z
Last updated: 2012-05-12
Stable URL: http://hdl.handle.net/10338.dmlcz/108317
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Reference: [1] M. Sova: Relation between real and complex properties of the Laplace transform.Čas. pěst. mat., 105 (1980), 111-119. Zbl 0437.44002, MR 0573105
Reference: [2] H. Berens P. L. Butzer: Über die Darstellung vektorwertiger holomorpher Funktionen durch Laplace-Integrale.Math. Ann. 158 (1965), 269-283. MR 0176289
Reference: [3] J. L. B. Cooper: The representation of functions as Laplace transforms.Math. Ann. 159 (1965), 223-233. Zbl 0134.10402, MR 0180811
Reference: [4] P. L. Butzer R. J. Nessel: Fourier analysis and approximation. I.1971. MR 0510857
Reference: [5] E. Hewitt K. Stromberg: Real and abstract analysis.1965.
Reference: [6] E. Hille R. S. Phillips: Functional analysis and semigroups.1957.
Reference: [7] I. P. Natanson: Теория функций вещественной переменной.1957. Zbl 1045.01516
Reference: [8] D. K. Faddeev: O представлении суммируемых функций сингулярными интегралами в точках Лебега.Matem. sbornik, 1 (1936), 351 - 368.
Reference: [9] A. Erdélyi: Tables of integral transforms, I.1954.
Reference: [10] D. V. Widder: The Laplace transform.1946. Zbl 0139.29504
Reference: [11] P. G. Rooney: A new representation and inversion theory for the Laplace transformation.Can. J. Math., 4 (1952), 436-444. Zbl 0047.34803, MR 0051969
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