Distributions and Operators
Gerd Grubb
Broschiertes Buch

Distributions and Operators

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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 oper...