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Interpolation theory

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Interpolation theory

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Interpolation theory/ by 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

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

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

527704
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.
260 $a Pisa : $b Scuola Normale Superiore : $b Imprint: Edizioni della Normale, $c 2018.
300 $a xiv, 202 p. : $b digital ; $c 24 cm.
490 1 $a CRM series ; $v 16
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.
650 0 $a Interpolation. $3 527704
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Functional Analysis. $3 672166
650 2 4 $a Numerical Analysis. $3 671433
650 2 4 $a Operator Theory. $3 672127
710 2 $a SpringerLink (Online service) $3 593884
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950 $a Mathematics and Statistics (Springer-11649)

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