| 書(shū)目名稱(chēng) | Distributions and Operators | | 編輯 | Gerd Grubb | | 視頻video | http://file.papertrans.cn/283/282019/282019.mp4 | | 概述 | Provides a more detailed and explicit elementary access to distribution theory than is found in most other books..Contains unique topics.The author has made this easily accessible to advanced undergra | | 叢書(shū)名稱(chēng) | Graduate Texts in Mathematics | | 圖書(shū)封面 |  | | 描述 | .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; | | 出版日期 | Textbook 2009 | | 關(guān)鍵詞 | Boundary value problem; Derivative; Hilbert space; Sobolev space; calculus; differential equation; distrib | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-387-84895-2 | | isbn_softcover | 978-1-4419-2743-9 | | isbn_ebook | 978-0-387-84895-2Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Springer-Verlag New York 2009 |
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