Distributions and Operators

Gerd Grubb

ISBN 10: 1441927433 / ISBN 13: 9781441927439

Verlag: Springer, Humana, 2010

Beschreibung

Druck auf Anfrage Neuware - Printed after ordering - This book gives an introduction to distribution theory, in the spirit of Laurent Schwartz. Additionally, the aim is to show how the theory is combined with the study of operators in Hilbert space by methods of functional analysis, with applications to partial and ordinary differential equations. Here, the author provides an introduction to unbounded operators in Hilbert space, including a complete theory of extensions of operators, and applications using contraction semigroups.In more advanced parts of the book, the author shows how distribution theory is used to define pseudodifferential operators on manifolds, and gives a detailed introduction to the pseudodifferential boundary operator calculus initiated by Boutet de Monvel, which allows a modern treatment of elliptic boundary value problems.This book is aimed at graduate students, as well as researchers interested in its special topics, and as such, the author provides careful explanations along with complete proofs, and a bibliography of relevant books and papers. Each chapter has been enhanced with many exercises and examples.Unique topics include:\* the interplay between distribution theory and concrete operators;\* families of extensions of nonselfadjoint operators;\* an illustration of the solution maps between distribution spaces by a fully worked out constant-coefficient case;\* the pseudodifferential boundary operator calculus;\* the Calderón projector and its applications.Gerd Grubb is Professor of Mathematics at University of Copenhagen.

Bestandsnummer des Verkäufers 9781441927439

Bibliografische Details

• Titel: Distributions and Operators
• Verlag: Springer, Humana
• Erscheinungsjahr: 2010
• Sprache: Englisch
• ISBN-10: 1441927433
• ISBN-13: 9781441927439
• Einband: Taschenbuch
• Zustand: Neu
• Abmessungen: 235B x 155 H x 26 T Millimeter Breite: 235 mm, Höhe: 155 mm, Tiefe: 26 mm
• Gewicht: 715 Gramm

Über diesen Titel

Inhaltsangabe

This book gives an introduction to distribution theory, based on the work of Schwartz and of many other people. It is the first book to present distribution theory as a standard text. Each chapter has been enhanced with many exercises and examples.

Von der hinteren Coverseite

This book gives an introduction to distribution theory, in the spirit of Laurent Schwartz. Additionally, the aim is to show how the theory is combined with the study of operators in Hilbert space by methods of functional analysis, with applications to partial and ordinary differential equations. Here, the author provides an introduction to unbounded operators in Hilbert space, including a complete theory of extensions of operators, and applications using contraction semigroups.

In more advanced parts of the book, the author shows how distribution theory is used to define pseudodifferential operators on manifolds, and gives a detailed introduction to the pseudodifferential boundary operator calculus initiated by Boutet de Monvel, which allows a modern treatment of elliptic boundary value problems.

 

This book is aimed at graduate students, as well as researchers interested in its special topics, and as such, the author provides careful explanations along with complete proofs, and a bibliography of relevant books and papers. Each chapter has been enhanced with many exercises and examples.

Unique topics include:

* the interplay between distribution theory and concrete operators;

* families of extensions of nonselfadjoint operators;

* an illustration of the solution maps between distribution spaces by a fully worked out constant-coefficient case;

* the pseudodifferential boundary operator calculus;

* the Calderón projector and its applications.

 

Gerd Grubb is Professor of Mathematics at University of Copenhagen.