20.500.12556/RUL-109339 Hinčinova neenakost delo diplomskega seminarja Khintchine's inequality Hinčinova neenakost spada med klasične neenakosti. Čeprav velja za verjetnostno neenakost, se pogosto uporablja tudi v analizi. V diplomskem delu ob dokazu neenakosti predstavimo nekatere lastnosti Schwartzovega prostora in Fourierovih transformacij, s katerimi v zaključku dokažemo Littlewood-Paleyev izrek, ki velja za enega temelnjih izrekov v harmonični analizi. Khintchine inequality is one of the classical inequalities. Even though it is considered a probabilistic inequality, we find most of its applications in analysis. In this diploma thesis, along with the proof of the inequality we present some properties of Schwartz spaces and the Fourier transform, that we use to prove the Littlewood-Paley theorem, which is one of fundamental theorems of harmonic analysis. Hinčinova neenakost Fourierova transformacija Schwartzov prostor Littlewood-Paleyev izrek Khintchine inequality Fourier transform Schwartz space Littlewood- Paley theorem true false false Slovenski jezik Angleški jezik Delo diplomskega seminarja/zaključno seminarsko delo/naloga 2019-08-30 14:59:21 2019-08-30 14:59:23 2024-05-30 11:03:01 0000-00-00 00:00:00 2019 0 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 517 97866 18710617 827.pdf 827.pdf 1 35686C83E85375A32C787FDE1B463400 2afa09dba5e9520d36c1240e60f29a8300b49d4ab82281f89aa5dc8ffc7d130c d62cdb3c-a1b6-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=120871 Fakulteta za matematiko in fiziko 0 0 0