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Twierdzenia o podstawianiu dla całki Lebesque'a w pracy doktorskiej Witolda Wilkosza

Krystyna Rakoczy-PindorEwa Szostak — 2007

Antiquitates Mathematicae

Tematem tego artykułu będzie problematyka podjęta przez Witolda Wilkosza w jego pracy doktorskiej o tytule Z teorii funkcji absolutnie ciągłych i całek Lebesgue’a z roku 1918. W tym czasie była to problematyka szczególnie ważna, gdyż brakowało twierdzeń o podstawianiu w całce Lebesgue’a, analogicznych do twierdzeń dla całki Riemanna. Praca dotyczy tylko całki Lebesgue’a na prostej rzeczywistej. Kluczowym jej pojęciem jest pojęcie funkcji absolutnie ciągłej. We wszystkich twierdzeniach o podstawianiu...

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