On the inversion of the Laplace transform for resolvent families in \(UMD\) spaces

DOI10.1007/s00013-003-0536-3zbMath1043.44002OpenAlexW2081921722MaRDI QIDQ1423776

Carlos Lizama, Ioana Cioranescu

Publication date: 7 March 2004

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-003-0536-3

zbMATH Keywords

Hilbert transformBanach space\(C_0\)-semigroupinversion of the Laplace transformresolvent families\(UMD\) spaceVolterra integral equation of convolution type

Mathematics Subject Classification ID

Laplace transform (44A10) Volterra integral equations (45D05) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (7)

The complex inversion formula in UMD spaces for families of bounded operators ⋮ Resolvent characterisation of generators of cosine functions and \(C_0\)-groups ⋮ THE COMPLEX INVERSION FORMULA REVISITED ⋮ Optimal control for evolution equations with memory ⋮ On the complex inversion formula and admissibility for a class of Volterra systems ⋮ The regularity of fractional stochastic evolution equations in Hilbert space ⋮ On a class of time-fractional differential equations

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