H. Baumgartel, FOURIER TRANSFORMATION OF HILBERT C-ASTERISK-SYSTEMS, WITH COMPACT-GROUPS, BY THEIR REGULATION REPRESENTATION, Mathematische Nachrichten, 172, 1995, pp. 15-24
Using Fourier transformation, the generating elements of Hilbert C-sy
stems are calculated. Their matrix elements coincide essentially with
the coefficients of their multiplication schema.