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 |
. |
Category:
|
math |
. |
MSC:
|
44A10 |
idZBL:
|
Zbl 0517.44001 |
idMR:
|
MR651083 |
DOI:
|
10.21136/CPM.1982.108317 |
. |
Date available:
|
2009-09-23T09:13:28Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/108317 |
. |
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 |
. |