The Resource Distributions and operators, Gerd Grubb
Distributions and operators, Gerd Grubb
Resource Information
The item Distributions and operators, Gerd Grubb represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of MissouriSt. Louis Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Distributions and operators, Gerd Grubb represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of MissouriSt. Louis Libraries.
This item is available to borrow from 1 library branch.
 Summary
 "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 constantcoefficient case; the pseudodifferential boundary operator calculus; the Calderón projector and its applications. Gerd Grubb is Professor of Mathematics at University of Copenhagen."Publisher's website
 Language
 eng
 Extent
 xii, 461 pages
 Contents

 Part I: Distributions and derivatives
 Motivation and overview
 Function spaces and approximation
 Distrubutions. Examples and rules of calculus
 Part II: Extensions and applications
 Realizations and Sobolev spaces
 Fourier transformation of distributions
 Applications to differential operators. The Sobolev theorem
 Part III: Pseudodifferential operators on open sets
 Pseudodifferential operators on manifolds, index of elliptic operators
 Part IV: Boundary value problems
 Boundary value problems in a contrastcoefficient case
 Pseudodifferential boundary operators
 Pseudodifferential methods for boundary value problems
 Part V: Topics on Hilbert space operators
 Unbounded linear operators
 Families of extensions
 Semigroups of operators
 Isbn
 9780387848945
 Label
 Distributions and operators
 Title
 Distributions and operators
 Statement of responsibility
 Gerd Grubb
 Language
 eng
 Summary
 "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 constantcoefficient case; the pseudodifferential boundary operator calculus; the Calderón projector and its applications. Gerd Grubb is Professor of Mathematics at University of Copenhagen."Publisher's website
 Cataloging source
 UKM
 http://library.link/vocab/creatorName
 Grubb, Gerd
 Dewey number
 515.782
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA324
 LC item number
 .G778 2009
 Literary form
 non fiction
 Nature of contents
 bibliography
 Series statement
 Graduate texts in mathematics
 Series volume
 252
 http://library.link/vocab/subjectName

 Theory of distributions (Functional analysis)
 Operator theory
 Hilbert space
 Label
 Distributions and operators, Gerd Grubb
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Part I: Distributions and derivatives  Motivation and overview  Function spaces and approximation  Distrubutions. Examples and rules of calculus  Part II: Extensions and applications  Realizations and Sobolev spaces  Fourier transformation of distributions  Applications to differential operators. The Sobolev theorem  Part III: Pseudodifferential operators on open sets  Pseudodifferential operators on manifolds, index of elliptic operators  Part IV: Boundary value problems  Boundary value problems in a contrastcoefficient case  Pseudodifferential boundary operators  Pseudodifferential methods for boundary value problems  Part V: Topics on Hilbert space operators  Unbounded linear operators  Families of extensions  Semigroups of operators
 Control code
 258078542
 Dimensions
 25 cm
 Extent
 xii, 461 pages
 Isbn
 9780387848945
 Isbn Type
 (hbk.)
 Lccn
 2008937582
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code

 n
 Other physical details
 illustrations
 System control number
 (OCoLC)258078542
 Label
 Distributions and operators, Gerd Grubb
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Part I: Distributions and derivatives  Motivation and overview  Function spaces and approximation  Distrubutions. Examples and rules of calculus  Part II: Extensions and applications  Realizations and Sobolev spaces  Fourier transformation of distributions  Applications to differential operators. The Sobolev theorem  Part III: Pseudodifferential operators on open sets  Pseudodifferential operators on manifolds, index of elliptic operators  Part IV: Boundary value problems  Boundary value problems in a contrastcoefficient case  Pseudodifferential boundary operators  Pseudodifferential methods for boundary value problems  Part V: Topics on Hilbert space operators  Unbounded linear operators  Families of extensions  Semigroups of operators
 Control code
 258078542
 Dimensions
 25 cm
 Extent
 xii, 461 pages
 Isbn
 9780387848945
 Isbn Type
 (hbk.)
 Lccn
 2008937582
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code

 n
 Other physical details
 illustrations
 System control number
 (OCoLC)258078542
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