Funktionentheorie/Gemischte Definitionsabfrage/4/Aufgabe/Lösung

${\displaystyle f\colon {\mathbb {C} }\longrightarrow {\mathbb {C} }.}$

${\displaystyle {}z\in {\mathbb {C} }}$

${\displaystyle \sum _{n=0}^{\infty }{\frac {(-1)^{n}z^{2n}}{(2n)!}}}$

die Kosinusreihe zu ${\displaystyle {}z}$.

${\displaystyle {}U}$

${\displaystyle {}W}$

${\displaystyle \omega \colon U\longrightarrow \operatorname {Hom} _{\mathbb {K} }{\left(V,W\right)}.}$

${\displaystyle {}\gamma }$

${\displaystyle {\tilde {\gamma }}\colon [0,1]\longrightarrow Y}$

mit

${\displaystyle {}\gamma =p\circ {\tilde {\gamma }}\,.}$