Isbn: 9781441927439 - distributions and operators (graduate texts in mathematics, band 252) (18 Ergebnisse)

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Taschenbuch. Zustand: Neu. Distributions and Operators | Gerd Grubb | Taschenbuch | Graduate Texts in Mathematics | xii | Englisch | 2010 | Springer | EAN 9781441927439 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. …

Taschenbuch. Zustand: Neu. 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.…

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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 476 pp. Englisch.…

Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Provides a more detailed and explicit elementary access to distribution theory than is found in most other books.Contains unique topicsThe author has made this easily accessible to advanced undergraduates, as well as graduatesDistri.…

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Zustand: New. Print on Demand pp. 478 8 Illus.

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Taschenbuch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Distributions and derivatives.- Motivation and overview.- Function spaces and approximation.- Distributions. Examples and rules of calculus.- Extensions and applications.- Realizations and Sobolev spaces.- Fourier transformation of distributions.- Applications to differential operators. The Sobolev theorem.- Pseudodifferential operators.- Pseudodifferential operators on open sets.- Pseudodifferential operators on manifolds, index of elliptic operators.- Boundary value problems.- Boundary value problems in a constant-coefficient case.- Pseudodifferential boundary operators.- Pseudodifferential methods for boundary value problems.- Topics on Hilbert space operators.- Unbounded linear operators.- Families of extensions.- Semigroups of operators.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 476 pp. Englisch. …