| 000 | 02405nam a22003855a 4500 | ||
|---|---|---|---|
| 001 | 201-160229 | ||
| 003 | CH-001817-3 | ||
| 005 | 20170613140835.0 | ||
| 006 | a fot ||| 0| | ||
| 007 | cr nn mmmmamaa | ||
| 008 | 160229e20160329sz fot ||| 0|eng d | ||
| 020 | _a9783037196595 | ||
| 024 | 7 | 0 |
_a10.4171/159 _2doi |
| 040 | _ach0018173 | ||
| 072 | 7 |
_aPBKB _2bicssc |
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| 084 |
_a28-xx _2msc |
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| 100 | 1 |
_aSalamon, Dietmar A., _eauthor. |
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| 245 | 1 | 0 |
_aMeasure and Integration _h[electronic resource] / _cDietmar A. Salamon |
| 260 | 3 |
_aZuerich, Switzerland : _bEuropean Mathematical Society Publishing House, _c2016 |
|
| 264 | 1 |
_aZuerich, Switzerland : _bEuropean Mathematical Society Publishing House, _c2016 |
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| 300 | _a1 online resource (363 pages) | ||
| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 0 | _aEMS Textbooks in Mathematics (ETB) | |
| 506 | 1 |
_aRestricted to subscribers: _uhttp://www.ems-ph.org/ebooks.php |
|
| 520 | _aThe book is intended as a companion to a one semester introductory lecture course on measure and integration. After an introduction to abstract measure theory it proceeds to the construction of the Lebesgue measure and of Borel measures on locally compact Hausdorff spaces, $L^p$ spaces and their dual spaces and elementary Hilbert space theory. Special features include the formulation of the Riesz Representation Theorem in terms of both inner and outer regularity, the proofs of the Marcinkiewicz Interpolation Theorem and the Calderon–Zygmund inequality as applications of Fubini’s theorem and Lebesgue differentiation, the treatment of the generalized Radon–Nikodym theorem due to Fremlin, and the existence proof for Haar measures. Three appendices deal with Urysohn’s Lemma, product topologies, and the inverse function theorem. The book assumes familiarity with first year analysis and linear algebra. It is suitable for second year undergraduate students of mathematics or anyone desiring an introduction to the concepts of measure and integration. | ||
| 650 | 0 | 7 |
_aReal analysis _2bicssc |
| 650 | 0 | 7 |
_aMeasure and integration _2msc |
| 700 | 1 |
_aSalamon, Dietmar A., _eauthor. |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.4171/159 |
| 856 | 4 | 2 |
_3cover image _uhttp://www.ems-ph.org/img/books/salamon_mini.jpg |
| 942 |
_2EBK13869 _cEBK |
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| 999 |
_c50493 _d50493 |
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