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Interpolation theory

Lunardi, Alessandra.

Interpolation theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Interpolation theoryby Alessandra Lunardi.
Author:	Lunardi, Alessandra.
Published:	Pisa :Scuola Normale Superiore :2018.
Description:	xiv, 202 p. :digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Interpolation.
Online resource:	http://dx.doi.org/10.1007/978-88-7642-638-4
ISBN:	9788876426384$q(electronic bk.)

Interpolation theory
Lunardi, Alessandra.

Interpolation theory[electronic resource] /by Alessandra Lunardi. - Pisa :Scuola Normale Superiore :2018. - xiv, 202 p. :digital ;24 cm. - CRM series ;16. - CRM series ;13..

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.

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.

ISBN: 9788876426384$q(electronic bk.)

Standard No.: 10.1007/978-88-7642-638-4doiSubjects--Topical Terms:

245439
Interpolation.

LC Class. No.: QA281 / .L863 2018

Dewey Class. No.: 511.422

Interpolation theory
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245 1 0 $a Interpolation theory $h [electronic resource] / $c by Alessandra Lunardi.
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505 0 $a 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.
520 $a 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.
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