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Vector-Valued Laplace Transforms and Cauchy Problems [Hardcover]

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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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Item Specifications...

Pages   538
Est. Packaging Dimensions:   Length: 9.3" Width: 6.5" Height: 1.3"
Weight:   2.45 lbs.
Binding  Hardcover
Release Date   Nov 11, 2002
Publisher   Birkhäuser Basel
ISBN  3764365498  
ISBN13  9783764365493  

Availability  0 units.

More About Wolfgang Arendt

Register your artisan biography and upload your photo! Wolfgang Arendt has an academic affiliation as follows - University of Ulm.

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Product Categories

1Books > Special Features > New & Used Textbooks > Sciences > Mathematics > Calculus
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Applied > Differential Equations
3Books > Subjects > Professional & Technical > Professional Science > Mathematics > Mathematical Analysis
4Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Calculus
5Books > Subjects > Science > Evolution > General
6Books > Subjects > Science > General
7Books > Subjects > Science > Mathematics > Applied > Differential Equations
8Books > Subjects > Science > Mathematics > General
9Books > Subjects > Science > Mathematics > Mathematical Analysis
10Books > Subjects > Science > Mathematics > Pure Mathematics > Calculus

Reviews - What do customers think about Vector-Valued Laplace Transforms and Cauchy Problems?

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.

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