Convolutions with the Continuous Primitive Integral
Convolutions with the Continuous Primitive Integral
If F is a continuous function on the real line and f = F ′ is its distributional derivative, then the continuous primitive integral of distribution f is . This integral contains the Lebesgue, Henstock‐Kurzweil, and wide Denjoy integrals. Under the Alexiewicz norm, the space of integrable distributions is a …