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

DOI10.1080/00036819108840171zbMath0791.44002OpenAlexW2056334870WikidataQ58263966 ScholiaQ58263966MaRDI QIDQ4289389

Frank Neubrander, Brigitta Hennig

Publication date: 3 May 1994

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819108840171

zbMATH Keywords

Banach spacePost-Widder inversion formulaapproximation theoremscomplex inversion formulaLaplace transform of bounded Bochner integrable functionsLaplace- Stieltjes transform of Lipschitz continuous functionsWidder's representation theorem

Mathematics Subject Classification ID

Laplace transform (44A10) Integral operators (45P05)

Related Items (10)

Laplace transforms of polynomially bounded vector-valued functions and semigroups of operators ⋮ Abstract Volterra Integro-Differential Equations: Approximation and Convergence of Resolvent Operator Families ⋮ A representation formula for strongly continuous resolvent families ⋮ Approximations of Laplace transforms and integrated semigroups ⋮ On the generation of non-continuous semigroups ⋮ On the equivalence of a theorem of Kisynski and the Hille-Yosida generation theorem ⋮ Uniformly bounded limit of fractional homomorphisms ⋮ Inversion of the Laplace transform and generation of Abel summable semigroups ⋮ On approximation and representation of \(k\)-regularized resolvent families ⋮ Unnamed Item

Cites Work

• On the representation theorem by the Laplace transformation of vector- valued functions
• The Laplace-Stieltjes transform of vector-valued functions
• On the representation of vector-valued functions by Laplace transforms
• La représentation des fonctions vectorielles par des intégrales de Laplace-Stieltjes
• Sur un théorème de I. Miyadera concernant la représentation des fonctions vectorielles par des intégrales de Laplace
• La représentation des fonctions vectorielles par des intégrales de Laplace-Stieltjes. II
• Vector-valued Laplace transforms and Cauchy problems
• Über die Darstellung vektorwertiger holomorpher Funktionen durch Laplace-Integrale
• On the Representation of Functions as Laplace Integrals
• What is the Laplace Transform?
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On representations, inversions, and approximations of laplace transforms in banach spaces