[[derivative]] ----- > [!proposition] Proposition. ([[derivative of Fourier coefficient of C1 function]]) > For $f$ that is [[continuously differentiable]] [[function on the (unit) circle|on the circle]], we have $\widehat{f'}(n)=in \hat{f}(n).$ > [!proof]- Proof. ([[derivative of Fourier coefficient of C1 function]]) > ![[CleanShot 2023-03-30 at [email protected]]] ----- #### ---- #### References > [!backlink] > ```dataview > TABLE rows.file.link as "Further Reading" > FROM [[]] > FLATTEN file.tags as Tag > WHERE Tag = "#definition" OR Tag = "#theorem" OR Tag = "#MOC" OR Tag = "#proposition" OR Tag = "#axiom" > GROUP BY Tag > ``` > [!frontlink] > ```dataview > TABLE rows.file.link as "Further Reading" > FROM outgoing([[]]) > FLATTEN file.tags as Tag > WHERE Tag = "#definition" OR Tag = "#theorem" OR Tag = "#MOC" OR Tag = "#proposition" OR Tag = "#axiom" > GROUP BY Tag > ```