An overview with pointers to the literature is <A HREF="https://www.ee.cuhk.edu.hk/~tblu/monsite/pdfs/forster0601.pdf">Complex B-splines</A>, by Forster, Blu, and Unser; see page 262. 

One recent application is
 <A HREF="https://link.springer.com/chapter/10.1007/978-3-319-62434-1_38">Parameter characterization of complex wavelets and its use in 3D reconstruction,</A> by Lopez et al.