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Título: Distributions And Operators | |
| Autor: Grubb Gerd | Precio: $1004.00 | |
| Editorial: Springer Publishing Company | Año: 2009 | |
| Tema: Matematicas, Textos | Edición: 1ª | |
| Sinopsis | ISBN: 9780387848945 | |
| 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. |
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