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Course In Analysis, A - Vol V: Functional Analysis, Some Operator Theory, Theory Of Distributions
Niels JacobKristian P Evans
出版World Scientific, 2020-01-22
主題Mathematics / Mathematical AnalysisMathematics / Functional AnalysisMathematics / Complex Analysis
ISBN98112155109789811215513
URLhttp://books.google.com.hk/books?id=WcPPDwAAQBAJ&hl=&source=gbs_api
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註釋The book is an advanced textbook and a reference text in functional analysis in the wide sense. It provides advanced undergraduate and graduate students with a coherent introduction to the field, i.e. the basic principles, and leads them to more demanding topics such as the spectral theorem, Choquet theory, interpolation theory, analysis of operator semigroups, Hilbert-Schmidt operators and Hille-Tamarkin operators, topological vector spaces and distribution theory, fundamental solutions, or the Schwartz kernel theorem.All topics are treated in great detail and the text provided is suitable for self-studying the subject. This is enhanced by more than 270 problems solved in detail. At the same time the book is a reference text for any working mathematician needing results from functional analysis, operator theory or the theory of distributions.Embedded as Volume V in the Course of Analysis, readers will have a self-contained treatment of a key area in modern mathematics. A detailed list of references invites to further studies.