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Interpolation Theory

  • Alessandra Lunardi

Part of the CRM Series book series (PSNS, volume 16)

Also part of the Lecture Notes (Scuola Normale Superiore) book sub series (LNSNS, volume 16)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Alessandra Lunardi
    Pages 1-44
  3. Alessandra Lunardi
    Pages 45-62
  4. Alessandra Lunardi
    Pages 63-83
  5. Alessandra Lunardi
    Pages 85-128
  6. Alessandra Lunardi
    Pages 129-159
  7. Alessandra Lunardi
    Pages 161-179
  8. Back Matter
    Pages 181-199

About this book

Introduction

This book is the third edition of the 1999 lecture notes of the courses on interpolation theory that the author delivered at the Scuola Normale in 1998 and 1999.

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 book 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.


Keywords

Interpolation Bochner integral analytic semigroups elliptic PDE’s Hilbert spaces K-method trace method

Authors and affiliations

  • Alessandra Lunardi
    • 1
  1. 1.Dipartimento di Scienze Matematiche, Fisiche e InformaticheUniversità di ParmaParmaItalia

Bibliographic information

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