General representability problem for the Laplace transform of exponentially bounded vector-valued functions

Miroslav Sova

Časopis pro pěstování matematiky (1982)

  • Volume: 107, Issue: 1, page 69-89
  • ISSN: 0528-2195

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Sova, Miroslav. "General representability problem for the Laplace transform of exponentially bounded vector-valued functions." Časopis pro pěstování matematiky 107.1 (1982): 69-89. <http://eudml.org/doc/19147>.

@article{Sova1982,
author = {Sova, Miroslav},
journal = {Časopis pro pěstování matematiky},
keywords = {representability problem; test sequences; exponentially bounded measurable vector-valued function; reflexive Banach spaces},
language = {eng},
number = {1},
pages = {69-89},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {General representability problem for the Laplace transform of exponentially bounded vector-valued functions},
url = {http://eudml.org/doc/19147},
volume = {107},
year = {1982},
}

TY - JOUR
AU - Sova, Miroslav
TI - General representability problem for the Laplace transform of exponentially bounded vector-valued functions
JO - Časopis pro pěstování matematiky
PY - 1982
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 107
IS - 1
SP - 69
EP - 89
LA - eng
KW - representability problem; test sequences; exponentially bounded measurable vector-valued function; reflexive Banach spaces
UR - http://eudml.org/doc/19147
ER -

References

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  1. M. Sova, Relation between real and complex properties of the Laplace transform, Čas. pěst. mat., 105 (1980), 111-119. (1980) Zbl0437.44002MR0573105
  2. H. Berens P. L. Butzer, Über die Darstellung vektorwertiger holomorpher Funktionen durch Laplace-Integrale, Math. Ann. 158 (1965), 269-283. (1965) Zbl0127.06002MR0176289
  3. J. L. B. Cooper, The representation of functions as Laplace transforms, Math. Ann. 159 (1965), 223-233. (1965) Zbl0134.10402MR0180811
  4. P. L. Butzer R. J. Nessel, Fourier analysis and approximation. I, 1971. MR0510857
  5. E. Hewitt K. Stromberg, Real and abstract analysis, 1965. Zbl0137.03202
  6. E. Hille R. S. Phillips, Functional analysis and semigroups, 1957. Zbl0078.10004
  7. I. P. Natanson, Теория функций вещественной переменной, 1957. Zbl1045.01516
  8. D. K. Faddeev, O представлении суммируемых функций сингулярными интегралами в точках Лебега, Matem. sbornik, 1 (1936), 351 - 368. (1936) 
  9. A. Erdélyi, Tables of integral transforms, I, 1954. Zbl0055.36401
  10. D. V. Widder, The Laplace transform, 1946. Zbl0139.29504
  11. P. G. Rooney, A new representation and inversion theory for the Laplace transformation, Can. J. Math., 4 (1952), 436-444. (1952) Zbl0047.34803MR0051969

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