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Applicable Analysis
An International Journal
Volume 49, 1993 - Issue 3-4
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Original Articles

On representations, inversions, and approximations of laplace transforms in banach spaces

Brigitta Hennig Mathematisches Institut,Universität Tübingen, Tubingen, FRG, 7400Auf der Morgenstelle 10
&
Frank Neubrander Department of Mathematics, Louisiana State University, Baton Rouge, La, 70803, USA
Pages 151-170 | Published online: 02 May 2007

Citations (13)

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Marko Kostić. (2014) Abstract Volterra Integro-Differential Equations: Approximation and Convergence of Resolvent Operator Families. Numerical Functional Analysis and Optimization 35:12, pages 1579-1606.
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Articles from other publishers (12)

A. Bobrowski. (2018) Notes on Jan Maria Kisynski's Life and Scientific Work. Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software" 11:3, pages 123-133.
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. 2015. Abstract Volterra Integro-Differential Equations. Abstract Volterra Integro-Differential Equations 431 451 .
Chunjing Liu, Xiaoqiu Song & Tao Wang. (2011) Some Conclusions about alpha-times Integrated C Semigroups. Some Conclusions about alpha-times Integrated C Semigroups.
Chung-Cheng Kuo. (2009) ON EXISTENCE AND APPROXIMATION OF SOLUTIONS OF ABSTRACT CAUCHY PROBLEM. Taiwanese Journal of Mathematics 13:1.
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Mi-Hi Kim. (2004) TROTTER-KATO TYPE APPROXIMATIONS OF CONVOLUTED SOLUTION OPERATOR FAMILIES. Communications of the Korean Mathematical Society 19:2, pages 293-305.
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Adam Bobrowski. (2001) Inversion of the Laplace Transform and Generation of Abel Summable Semigroups. Journal of Functional Analysis 186:1, pages 1-24.
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Carlos Lizama. (2001) On approximation and representation of K-regularized resolvent families. Integral Equations and Operator Theory 41:2, pages 223-229.
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Ti-Jun Xiao & Jin Liang. (2000) Approximations of Laplace Transforms and Integrated Semigroups. Journal of Functional Analysis 172:1, pages 202-220.
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Wojciech Chojnacki. (1998) On the equivalence of a theorem of Kisynski and the Hille-Yosida generation theorem. Proceedings of the American Mathematical Society 126:2, pages 491-497.
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Carlos Lizama. (1997) A Representation Formula for Strongly Continuous Resolvent Families. Journal of Integral Equations and Applications 9:4.
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R. DeLaubenfels, Z. Huang, S. Wang & Y. Wang. (1997) Laplace transforms of polynomially bounded vector-valued functions and semigroups of operators. Israel Journal of Mathematics 98:1, pages 189-207.
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Adam Bobrowski. (1997) On the generation of non-continuous semigroups. Semigroup Forum 54:1, pages 237-252.
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