On the Yosida approximation and the Widder-Arendt representation theorem
Studia Mathematica (1997)
- Volume: 124, Issue: 3, page 281-290
- ISSN: 0039-3223
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topBobrowski, Adam. "On the Yosida approximation and the Widder-Arendt representation theorem." Studia Mathematica 124.3 (1997): 281-290. <http://eudml.org/doc/216415>.
@article{Bobrowski1997,
abstract = {The Yosida approximation is treated as an inversion formula for the Laplace transform.},
author = {Bobrowski, Adam},
journal = {Studia Mathematica},
keywords = {Widder-Arendt representation theorem; Laplace transform; Yosida approximation; continuous semigroups},
language = {eng},
number = {3},
pages = {281-290},
title = {On the Yosida approximation and the Widder-Arendt representation theorem},
url = {http://eudml.org/doc/216415},
volume = {124},
year = {1997},
}
TY - JOUR
AU - Bobrowski, Adam
TI - On the Yosida approximation and the Widder-Arendt representation theorem
JO - Studia Mathematica
PY - 1997
VL - 124
IS - 3
SP - 281
EP - 290
AB - The Yosida approximation is treated as an inversion formula for the Laplace transform.
LA - eng
KW - Widder-Arendt representation theorem; Laplace transform; Yosida approximation; continuous semigroups
UR - http://eudml.org/doc/216415
ER -
References
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- [3] G. Da Prato, Semigruppi regolarizzabili, Ricerche Mat. 15 (1966), 223-248.
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- [6] B. Hennig and F. Neubrander, On representations, inversions, and approximations of Laplace transforms in Banach spaces, Appl. Anal. 49 (1993), 151-170. Zbl0791.44002
- [7] E. Hille and R. S. Phillips, Functional Analysis and Semi-Groups, Amer. Math. Soc. Colloq. Publ. 31, Providence, R.I., 1957. Zbl0078.10004
- [8] F. Neubrander, The Laplace-Stieltjes transform in Banach spaces and abstract Cauchy problems, in: Proc. 3rd International Workshop Conference in Evolution Equations, Control Theory and Biomathematics, Han-sur-Lesse, P. Clément and G. Lumer (eds.), Lecture Notes in Pure and Appl. Math. 155, Dekker, 1994, 417-431. Zbl0817.46046
- [9] A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Appl. Math. Sci. 44, 1983, Springer, New York, 1983.
- [10] R. S. Phillips, An inversion formula for the Laplace transform and semigroups of linear operators, Ann. of Math. 59 (1954), 325-356. Zbl0059.10704
- [11] D. V. Widder, The Laplace Transform, Princeton Univ. Press, 1946. Zbl0060.24801
- [12] K. Yosida, Functional Analysis, Springer, Berlin, 1968.
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