Spectral analysis on the group of conformal automorphisms of the unit disc

摘要

For the group G of conformal automorphisms of the unit disc the problem of spectral analysis is considered for subspaces u subset of C(G) which are invariant under right shifts by elements of G and conjugations by elements of the rotation subgroup. It turns out that, in contrast to subspaces of C(G) which are merely invariant under right shifts, u contains a minimal subspace with the above properties.