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Interpolation theory

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Interpolation theory

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Interpolation theory/ by Alessandra Lunardi.
作者:	Lunardi, Alessandra.
出版者:	Pisa :Scuola Normale Superiore : : 2018.,
面頁冊數:	xiv, 202 p. :digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Interpolation. -
電子資源:	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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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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