Measure-Theoretic Calculus in Abstract Spaces On the Playground of Infinite-Dimensional Spaces /
This monograph provides a rigorous, encyclopedic treatment of the fundamental topics in real analysis, functional analysis, and measure theory. The result of many years of the author’s careful and extensive work, this text synthesizes and builds upon the existing literature in an effort to develop a...
সংরক্ষণ করুন:
| প্রধান লেখক: | |
|---|---|
| সংস্থা লেখক: | |
| বিন্যাস: | বৈদ্যুতিক বৈদ্যুতিন গ্রন্থ |
| ভাষা: | ইংরেজি |
| প্রকাশিত: |
Cham :
Springer International Publishing : Imprint: Birkhäuser,
2023.
|
| সংস্করন: | 1st ed. 2023. |
| বিষয়গুলি: | |
| অনলাইন ব্যবহার করুন: | https://doi.org/10.1007/978-3-031-21912-2 |
| ট্যাগগুলো: |
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| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-031-21912-2 | ||
| 003 | DE-He213 | ||
| 005 | 20260810154421.0 | ||
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| 008 | 240123s2023 sz | o |||| 0|eng d | ||
| 020 | |a 9783031219122 |9 978-3-031-21912-2 | ||
| 024 | 7 | |a 10.1007/978-3-031-21912-2 |2 doi | |
| 050 | 4 | |a QA312-312.5 | |
| 072 | 7 | |a PBKL |2 bicssc | |
| 072 | 7 | |a MAT034000 |2 bisacsh | |
| 072 | 7 | |a PBKL |2 thema | |
| 082 | 0 | 4 | |a 515.42 |2 23 |
| 100 | 1 | |a Pan, Zigang. |e author. |0 (orcid)0000-0003-1777-1402 |1 https://orcid.org/0000-0003-1777-1402 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Measure-Theoretic Calculus in Abstract Spaces |h [electronic resource] : |b On the Playground of Infinite-Dimensional Spaces / |c by Zigang Pan. |
| 250 | |a 1st ed. 2023. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Birkhäuser, |c 2023. | |
| 300 | |a 1 online resource (XXVII, 933 p. 1 illus.). | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 520 | |a This monograph provides a rigorous, encyclopedic treatment of the fundamental topics in real analysis, functional analysis, and measure theory. The result of many years of the author’s careful and extensive work, this text synthesizes and builds upon the existing literature in an effort to develop and solidify the theory of measure-theoretic calculus in abstract spaces. Standard results and proofs are illustrated in general abstract settings under rigorous treatment, and numerous ancillary topics are also covered in detail, such as functional analytic treatment of optimization, probability theory, and the theory of Sobolev spaces. Applied mathematicians and researchers working in control theory, operations research, economics, optimization theory, and many other areas will find this text to be a comprehensive and invaluable resource. It can also serve as an analysis textbook for graduate-level students. | ||
| 588 | |a Print version record. | ||
| 650 | 0 | |a Measure theory. | |
| 650 | 0 | |a Control engineering. | |
| 650 | 0 | |a Functional analysis. | |
| 650 | 1 | 4 | |a Measure and Integration. |
| 650 | 2 | 4 | |a Control and Systems Theory. |
| 650 | 2 | 4 | |a Functional Analysis. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783031219115 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031219139 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031219146 |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-031-21912-2 |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||