0392394 20240103202546.120130920235959.9 000345287400014 84911990300 10.1007/s10959-013-0479-y 25 s. P cav_un_epca*02540800894-9840274 (2014)1350-1374Springer stochastic integration in Banach spaces almost sure limit theorems Dudley representation theorem universal representation theorem weak characterization of stochastic integrability Doob representation theorem cav_un_auth*0260292 Ondreját Martin Stochastická informatika Department of Stochastic Informatics SI SI UTIA-B Department of Stochastic Informatics Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0291737 Veraar M. NL http://library.utia.cas.cz/separaty/2013/SI/ondrejat-0392394.pdf GAP201/10/0752 GA ČR cav_un_auth*0263519 Weak characterizations of stochastic integrability in Banach spaces are presented as well as their limitations. Results in representation theory for random variables in terms of stochastic integrals are exposed, in particular an infinite dimensional version of Dudley’s representation theorem for random variables and an extension of Doob’s representation for martingales. 2015 BA 2 4 A 4a 20231122135627.9 RVO:67985556 http://hdl.handle.net/11104/0221744 STATISTICSPROBABILITY 0.857 0.744 Q2 53.112 47.951 Q2 Q2 2014 Soubory v repozitáři: ondrejat-0392394.pdf 84911990300 SCOPUS 000345287400014 WOS cav_un_epca*0254080 Journal of Theoretical Probability 0894-9840 1572-9230 Roč. 27 č. 4 2014 1350 1374 Springer