Course in analysis. (Record no. 72791)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04050cam a2200433Ma 4500 |
| 001 - CONTROL NUMBER | |
| control field | 00011695 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 200213s2020 si ob 001 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9789811215506 |
| -- | (ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9811215502 |
| -- | (ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| -- | (hbk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| -- | (hbk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| -- | (pbk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| -- | (pbk.) |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 515 |
| 100 1# - AUTHOR NAME | |
| Author | Jacob, Niels. |
| 245 10 - TITLE STATEMENT | |
| Title | Course in analysis. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Singapore : |
| Publisher | World Scientific, |
| Year of publication | 2020. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 1 online resource (856 p.) |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Remark 2 | Functional analysis: What is functional analysis about? -- Infinite dimensional vector spaces -- Banach spaces -- Linear operators and linear functionals -- The dual space -- The basic principles of functional analysis -- Adjoint operators and Fredholm theory -- Hilbert spaces and operators in Hilbert spaces -- Unbounded operators in Hilbert spaces -- Spectral theory. Part I: Gelfand-Naimark theory -- Spectral theory. Part II: Self-adjoint operators -- Topological vector spaces -- convexity and integral representations -- Selected topics - Some operator theory: some integral operators -- One-parameter semigroups of operators -- Positivity preserving operators and Markovian semigroups -- On regular Sturm-Liouville problems -- Sobolev spaces. A first encounter -- Operators induced by the Dirichlet problem -- Selected topics - Distributions. Some function spaces as Fréchet spaces -- Distributions in the sense of Schwartz -- Further properties of distributions -- Tempered distributions and the Fourier transform -- Tensor products and the kernel theorem -- Calderon-Zygmund operators - Appendices: Completeness --nets, convergence and continuity -- On the Riesz representation theorem -- Solutions to problems of Part 12 -- Solutions to problems of Part 13 -- Solutions to problems of Part 14 - References -- Mathematicians contributing to analysis (continued) -- Subject index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | "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"--Publisher's website. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| General subdivision | Study and teaching (Higher) |
| 700 1# - AUTHOR 2 | |
| Author 2 | Evans, Kristian P. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://www.worldscientific.com/worldscibooks/10.1142/11695#t=toc |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mathematical analysis |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mathematics |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Calculus |
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