I wrote a thesis on expanding a model with cubic truncated power basis and B-spline. In the defense, one professor pointed out that I should get the same results with the two methods when the number of knots are the same. She said that she referred to de Boor (2001). Unfortunately, the truncated power basis part in de Boor (2001) does not makes sense to me. I referred to Fahrmeir et al. (2013) and Hastie et al. (2009), but there is no such conclusion.
Could anybody please clarify it? Thank you so much.