Course in Analysis, a - Vol V: Functional Analysis, Some Operator Theory & Theory of Distributions
Vol. V: Functional Analysis, Some Operator Theory, Theory of Distributions
- Editore:
WORLD SCIENTIFIC PUB CO INC
- EAN:
9789811215490
- ISBN:
9811215499
- Pagine:
- 850
- Formato:
- Hardback
- Lingua:
- Inglese
Descrizione Course in Analysis, a - Vol V: Functional Analysis, Some Operator Theory & Theory of Distributions
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.
