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.

List of contents

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.

About the author

Alessandra Lunardi is a professor of mathematics at the University of Parma, Italy.

Product details

• Authors: Alessandra Lunardi
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 27.05.2013
• EAN: 9788876423420
• ISBN: 978-88-7642-342-0
• No. of pages: 191
• Dimensions: 152 mm x 240 mm x 17 mm
• Weight: 420 g
• Illustrations: 7 SW-Abb.
• Series: Publications of the Scuola Normale Superiore; Publications of the Scuola Normale Superiore / Lecture Notes (Scuola Normale Superiore); Lecture Notes (Scuola Normale Superiore); Publications of the Scuola Nor
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis