Neparametrična statistika, Brownovo gibanje in analiza / Nonparametric statistics, Brownian motion and analysis
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Naziv Tittle |
Neparametrična statistika, Brownovo gibanje in analiza / Nonparametric statistics, Brownian motion and analysis |
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Akronim Acronim |
BI-US/18-19-073 |
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Opis Description |
(SI) V okviru projekta se bomo ukvarjali s posplošitvijo klasičnih izrekov iz kompleksne analize več spremenljivk s kategorije mnogoterosti na kategorijo kompleksnih prostorov. Predvsem se bomo osredotočili na posplošitev izreka Docquier-Grauert in na iskanje obstoja transverzalnih fibracij na regularne dele vloženih kompleksnih prostorov ter na reševanje nehomogene Cauchy-Riemannove (del-bar) enačbe na stožčastih okolicah kompleksnih prostorov. (EN) In the proposed project we intend to work on generalizations of classical theorems in several complex variables from the category of manifolds to the category of complex spaces. We will focus on Docquier-Grauert theorem and on the existence of transverse foliations to regular parts of complex spaces, embedded in Euclidean spaces, and on solving nonhomogeneus Cauchy-Riemann (del-bar) equations on conic neighbourhoods of complex spaces. |
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Trajanje Duration |
01/01/2018 - 31/12/2019 |
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Vodja projekta Project Leader |
dr. Vito Vitrih |
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Sodelujoče organizacije Participating organizations |
University of Washington, Department of Statistics |
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Oddelek Department |
Oddelek za matematiko IAM |