Distributions and Operators
Language: English
Published by Springer, 2010
- Softcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
US$ 96.14
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Add to basketItem description from seller
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.…
Seller Inventory # 9781441927439
- Title
- Distributions and Operators
- Author
- Gerd Grubb
- Publisher
- Springer
- Publication year
- 2010
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 1441927433
- ISBN 13
- 9781441927439
- Item weight
- 715 grams
- Dimensions
- 235x155x26 mm
- Series
- Book 63 of 180: Graduate Texts in Mathematics
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.
"Synopsis" may belong to another edition of this title.
From the Back Cover
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.
"About the title" may belong to another edition of this title.
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