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Osnove teorije mereMagajna, BojanKnjiga obravnava temelje klasične teorije mere in integrala v taki splošnosti, kot običajno nastopa v uporabi na drugih področjih matematike. Glavne teme so: mere na algebrah in ▫$\sigma$▫-algebrah, ... zunanje mere in razširitve mer, klasični konvergenčni izreki za integral, produktne mere, absolutna zveznost in vzajemna singularnost, integriranje na lokalno kompaktnih Hausdorffovih prostorih in odvajanje mer na evklidskih prostorih.Type of material - textbookEdition - 1. izd.Publication and manufacture - Ljubljana : DMFA - založništvo, 2011Language - slovenianISBN - 978-961-212-241-6COBISS.SI-ID - 258151680
Author
Magajna, Bojan
Other authors
Raič, Martin
Collection
Podiplomski seminar iz matematike
Topics
matematika |
učbeniki za visoke šole |
teorija mere |
▫$\sigma$▫-algebra |
mera |
zunanja mera |
konvergebca po meri |
Lebesgueov integral |
absolutna zveznost |
vzajemna singularnost |
Radon-Nikodýmov odvod |
▫$L^p$▫-prostor |
lokalno kompakten prostor |
pozitivni funkcional |
odvod mere |
mathematics |
▫$\sigma$▫-algebra |
measure |
outer measure |
convergence in measure |
Lebesgue integral |
absolute continuity |
mutual singularity |
Radon-Nikodým derivative |
▫$L^p$▫-spaces |
locally compact spaces |
positive linear functional |
derivation of measure
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Prosti pristop 2. nad. 0000000517 0000063805/0000000027 a Prosti pristop 2. nad. 517 63805/27 a |
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Prosti pristop 2. nad. 0000000517 0000063805/0000000027 Prosti pristop 2. nad. 517 63805/27 |
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Database name | Field | Year |
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Magajna, Bojan | 01470 |
Raič, Martin | 15851 |
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