On the Yosida approximation and the Widder-Arendt representation theorem

Studia Mathematica

Volumn 124, Issue 3, 1997, Pages 281-290

  Bobrowski, Adam ^a  

^a LUBLIN UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031446345     PISSN: 00393223     EISSN: None     Source Type: Journal    
DOI: 10.4064/sm-124-3-281-290     Document Type: Article

References (12)

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4. C. Dellacherie and P. A. Meyer, Probabilities and Potential. C, North-Holland Math. Stud. 151, North-Holland, Amsterdam, 1988.
5. H. O. Fattorini, A representation theorem for distribution semigroups, J. Funct. Anal. 6 (1970), 83-96.
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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.
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.
11. D. V. Widder, The Laplace Transform, Princeton Univ. Press, 1946.
12. K. Yosida, Functional Analysis, Springer, Berlin, 1968.