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Sova, Miroslav
The Laplace transform of exponentially bounded vector-valued functions (real conditions). (English). Časopis pro pěstování matematiky, vol. 105 (1980), issue 1, pp. 1-13
MSC: 28B05, 44A10, 44A20, 46G99 | MR 560753 | Zbl 0423.44003 | DOI: 10.21136/CPM.1980.118039
References:
[1] Widder D. V.: Thе Laplaсе transform. 1946.
[2] Hille E., Phillips R. S.: Funсtional analysis and sеmigroups. 1957.
[3] Hewitt E., Stromberg, K: Rеal and abstгaсt analysis. 1975.
[4] Miyadera, L: On thе rеprеsеntation thеorеm by thе Laplaсе transformation of vесtor-valuеd funсtions. Tôhoku Math. J., 8 (1956), 170 - 180.
[5] Leviatan D.: Somе vесtor-vatuеd Laplaсе transforms. Isгaеl J. Math., 16 (1973), 73 - 86.
[6] Pollard, H: Rеal invеrsion formulas for Laplaсе intеgrals. Dukе Math. J., 7 (1940), 445 - 452.
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