Interpolation theory
(Sprache: Englisch)
This book illustrates the principles of interpolation theory. It reduces the abstract theory as far as possible and gives many examples and applications, especially to operator theory and to regularity in partial differential equations.
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Produktinformationen zu „Interpolation theory “
This book illustrates the principles of interpolation theory. It reduces the abstract theory as far as possible and gives many examples and applications, especially to operator theory and to regularity in partial differential equations.
Klappentext zu „Interpolation theory “
This book contains the lecture notes of a basic course in interpolation theory. In the mathematical literature there are many good books on the subject, but none of them is very elementary, and in many cases the basic principles are hidden below great generality. In this second edition, the principles of interpolation theory are illustrated aiming at simplification rather than at generality. The abstract theory is reduced as far as possible, and many examples and applications are given, especially to operator theory and to regularity in partial differential equations. Moreover the treatment is self-contained, the only prerequisite being the knowledge of basic functional analysis.
This book contains the lecture notes of a basic course in interpolation theory. In the mathematical literature there are many good books on the subject, but none of them is very elementary, and in many cases the basic principles are hidden below great generality. In this second edition, the principles of interpolation theory are illustrated aiming at simplification rather than at generality. The abstract theory is reduced as far as possible, and many examples and applications are given, especially to operator theory and to regularity in partial differential equations. Moreover the treatment is self-contained, the only prerequisite being the knowledge of basic functional analysis.
Inhaltsverzeichnis zu „Interpolation theory “
1 Real interpolation.2 Complex interpolation.
3 Interpolation and domains of operators.
4 Powers of positive operators.
5 Interpolation and semigroups.
6 Analytic semigroups and interpolation.
- Appendix: The Bochner integral
Autoren-Porträt von Alessandra Lunardi
Alessandra Lunardi is a professor of mathematics at the University of Parma, Italy.
Bibliographische Angaben
- Autor: Alessandra Lunardi
- 2009, 2. Aufl., 191 Seiten, 7 Schwarz-Weiß-Abbildungen, Maße: 15 x 23,9 cm, Kartoniert (TB), Englisch
- Verlag: Edizioni Della Normale
- ISBN-10: 8876423427
- ISBN-13: 9788876423420
Sprache:
Englisch
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