Course in Analysis, a - Vol V: Functional Analysis, Some Operator Theory, Theory of Distributions

Jacob, Niels; Evans, Kristian P

ISBN 10: 9811215499 / ISBN 13: 9789811215490

Editore: World Scientific Publishing Company, 2020

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Dati bibliografici

• Titolo: Course in Analysis, a - Vol V: Functional Analysis, Some Operator Theory, Theory of Distributions
• Editore: World Scientific Publishing Company
• Data di pubblicazione: 2020
• Lingua: Inglese
• ISBN 10: 9811215499
• ISBN 13: 9789811215490
• Rilegatura: Rilegato
• Condizione: New

Descrizione articolo

Riassunto

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