Vector-valued Laplace transforms and Cauchy problems /
"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. Exis...
| Other Authors: | , , , , |
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| Format: | Book |
| Language: | English |
| Published: |
Basel ; Boston :
Birkhause Verlag,
c2001
Basel ; Boston : Birkhäuser Verlag, ©2001 Basel ; Boston : Birkhäuser Verlag, c2001 Basel ; Boston : c2001 Boston : 2001 |
| Series: | Monographs in mathematics ;
v. 96 Monographs in mathematics v. 96 |
| Subjects: |
| 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 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." -- Book Jacket |
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| Item Description: | This WorldCat-derived record is shareable under Open Data Commons ODC-BY, with attribution to OCLC |
| Physical Description: | vii, 523 pages : illustrations ; 24 cm xi, 523 p. : ill. ; 24 cm xi, 523 p. ; 24 cm xi, 523 pages : illustrations ; 24 cm |
| Bibliography: | Includes bibliographical references (p. [487]-510) and index Includes bibliographical references (pages 487-510) and index Includes bibliographical references and index |
| ISBN: | 0817665498 (alk. paper) 0817665498 3764365498 (alk. paper) 3764365498 9780817665494 (alk. paper) 9780817665494 9783764365493 (alk. paper) 9783764365493 |