Properties of derivations on some convolution algebras

Thomas Vils Pedersen

For all the convolution algebras $L^1[0,1),L_{\text{loc}}^1$ and $A(\omega )={\bigcap }_n{L}^1({\omega }_n)$, the derivations are of the form $D_{\mu }f=Xf\ast \mu$ for suitable measures $\mu$, where $(Xf)(t)…