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E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA432.SPR FCT 81730 (Browse shelf) | 1 | Available |
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QA431.SPR FCT 98463 Qualitative theory of volterra difference equations | QA431.ZEM FCT 95906 The classical theory of integral equations | QA432.SPR FCT 81296 An introduction to laplace transforms and Fourier series | QA432.SPR FCT 81730 Vector-valued laplace transforms and Cauchy problems | QA433.SPR FCT 80975 An introduction to tensors and group theory for physicists | QA433.SPR FCT 81055 Finite frames | QA433.SPR FCT 81503 Introduction to tensor analysis and the calculus of moving surfaces |
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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. The authors have succeeded admirably in bringing together a wealth of recent material, much of which appears in book form for the first time. This authoritative work is likely to become a standard reference on both the Laplace transform and its applications to the abstract Cauchy problem. … The book is an excellent textbook as well. Proofs are always transparent and complete, and many topics that could have been considered as background material are covered as well. All this makes the text very accessible and self-contained. Applications to concrete differential operators are given throughout the text. Each chapter ends with historical and bibliographical comments. … In summary, this book will be of interest to a wide audience of (functional) analysts and it should have a place in every mathematics library. Warmly recommended! Jan van Neerven, Nieuw Archief voor Wiskunde, No. 3, 2003
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