Finite and local Laplace transforms in Banach spaces

Proceedings of the Edinburgh Mathematical Society

Volumn 46, Issue 2, 2003, Pages 357-372

  Keyantuo, Valentin ^a   Müller, Claus ^b   Vieten, Peter ^b  

^a UNIVERSITY OF PUERTO RICO   (Puerto Rico)

^b University of Koblenz Landau   (Germany)

Author keywords

Finite Laplace transform; Local Laplace transform; Moment sequence; Nilpotent semigroup

Indexed keywords

EID: 0042203172     PISSN: 00130915     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0013091501001092     Document Type: Conference Paper

References (8)

1. W. ARENDT, Vector-valued Laplace transforms and Cauchy problems, Israel J. Math. 59 (1987), 327-352.
2. W. ARENDT, C. J. K. BATTY, M. HIEBER AND F. NEUBRANDER, Vector-valued Laplace transforms and Cauchy problems, Monographs in Mathematics, vol. 96 (Birkhäuser, 2001).
3. E. HILLE AND R. S. PHILLIPS, Functional analysis and semigroups, American Mathematical Society Colloquium Publications, vol. 31 (American Mathematical Society, Providence, RI, 1957).
4. Yu. I. LJUBICH, The classical and local Laplace transformation in the abstract Cauchy problem, Russ. Math. Surv. 1 (1966), 1-52.
5. Yu. I. LJUBICH AND S. TKACHENKO, Theory and applications of the local Laplace transform, American Mathematical Society Translations II, vol. 74, pp. 169-193 (1968).
6. R. S. PHILLIPS, An inversion of the Laplace transform and semigroups of linear operators, Ann. Math. 69 (1954), 325-356.
7. P. VIETEN, Holomorphie und Laplace Transformation Banachraumwertiger Funktionen, PhD thesis, Shaker, Aachen (1995).
8. D. V. WIDDER, The Laplace transform (Princeton University Press, Princeton, NJ, 1946).