On function spaces for radial functions

Mark D. Groves, Dan J. Hill

This paper is concerned with complex Banach-space valued functions of the form $$ \hat{f}_k(r\cosθ,r\sinθ,z)=\mathrm{e}^{\mathrm{i} k θ}f_k(r,z), \qquad r \in [0,\infty), θ\in \mat…