Aj. Vanwonderen et K. Lendi, NOTE ON THE REPRESENTATION OF ANGULAR-MOMENTUM BY COMPLEX DIFFERENTIAL FORMS, Journal of physics. A, mathematical and general, 30(12), 1997, pp. 4439-4445
The standard representation of angular momentum on Bargmann's Hilbert
space of analytic functions is extended such that domains of operators
include non-analytic functions, which are square integrable. Generali
zed eigenfunctions of angular momentum are proposed which contain arbi
trary complex constants. The eigenfunctions are shown to satisfy a bas
ic requirement which follows from group theory.