Item description for Vector-Valued Laplace Transforms and Cauchy Problems by Wolfgang Arendt...
This monograph gives a systematic account of the theory of vector-valued Laplace transforms, ranging from representation theory to Tauberian theorems. In parallel, the theory of linear Cauchy problems and semigroups of operators is developed completely in the spirit of Laplace transforms. Existence and uniqueness, regularity, approximation and above all asymptotic behaviour of solutions are studied. Diverse applications to partial differential equations are given. The book contains an introduction to the Bochner integral and several appendices on background material. It is addressed to students and researchers interested in evolution equations, Laplace and Fourier transforms, and functional analysis.
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Est. Packaging Dimensions: Length: 9.3" Width: 6.5" Height: 1.3" Weight: 2.45 lbs.
Release Date Nov 11, 2002
Publisher Birkhäuser Basel
ISBN 3764365498 ISBN13 9783764365493
Availability 0 units.
More About Wolfgang Arendt
Wolfgang Arendt has an academic affiliation as follows - University of Ulm.
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A brief statement on "Vector-valued Laplace Transforms and Cauchy Problems" Jan 29, 2008
The book we report on is one of the few available unitary treatments of vector-valued functions (i.e. functions with values in a Banach or Frechet space) and the needed additional knowledge of functional analysis required in this context. The book contains a useful appendix on vector-valued holomorphic functions. A study of this book might allow the reader to dream of a theory of vector-valued CR functions - say locally defined on a smooth real hypersurface in the complex space - to be developed both from the point of view of complex analysis (in several complex variables) and PDEs.