Functional analysis
This comprehensive introduction to functional analysis covers both the abstract theory and applications to spectral theory, the theory of partial differential equations, and quantum mechanics. It starts with the basic results of the subject and progresses towards a treatment of several advanced topi...
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| Format: | eBook |
| Language: | English |
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Cambridge
Cambridge University Press
2022
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| Series: | Cambridge studies in advanced mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Cambridge Books Online - Collection details see MPG.ReNa |
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| 100 | 1 | |a Neerven, Jan van | |
| 245 | 0 | 0 | |a Functional analysis |c Jan van Neerven |
| 260 | |a Cambridge |b Cambridge University Press |c 2022 | ||
| 300 | |a xi, 712 pages |b digital | ||
| 653 | |a Functional analysis | ||
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| 989 | |b CBO |a Cambridge Books Online | ||
| 490 | 0 | |a Cambridge studies in advanced mathematics | |
| 028 | 5 | 0 | |a 10.1017/9781009232487 |
| 856 | 4 | 0 | |u https://doi.org/10.1017/9781009232487 |x Verlag |3 Volltext |
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| 520 | |a This comprehensive introduction to functional analysis covers both the abstract theory and applications to spectral theory, the theory of partial differential equations, and quantum mechanics. It starts with the basic results of the subject and progresses towards a treatment of several advanced topics not commonly found in functional analysis textbooks, including Fredholm theory, form methods, boundary value problems, semigroup theory, trace formulas, and a mathematical treatment of states and observables in quantum mechanics. The book is accessible to graduate students with basic knowledge of topology, real and complex analysis, and measure theory. With carefully written out proofs, more than 300 problems, and appendices covering the prerequisites, this self-contained volume can be used as a text for various courses at the graduate level and as a reference text for researchers in the field | ||