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Vector-valued Laplace transforms and Cauchy problems

Publisher: Basel ; Boston ; Berlin : Birkhäuser, cop. 2001.
Series: Monographs in mathematics, 96
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

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  Read more...

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Document Type: Book
ISBN: 3764365498 9783764365493
OCLC Number: 468598870
Notes: Bibliogr. p. [487]-510. Index.
Description: XI-523 p. ; 24 cm.
Contents: Part 1 Laplace transforms and well-posedness of Cauchy problems: the Laplace integral; the Laplace transform; Cauchy problems. Part 2 Tauberian theorems and Cauchy problems: asymptotics of Laplace transforms; asymptotics of solutions of Cauchy problems. Part 3 Applications and examples: the heat equation; the wave equation; translation invariant operators on "Lp(Rn)"; appendices.
Series Title: Monographs in mathematics, 96
Responsibility: Wolfgang Arendt, Charles J.K. Batty, Matthias Hieber ... [et al.].
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