Displaying similar documents to “Harmonic analysis on the quantized Riemann sphere.”

Maximally degenerate laplacians

Steven Zelditch (1996)

Annales de l'institut Fourier

Similarity:

The Laplacian Δ g of a compact Riemannian manifold ( M , g ) is called if its eigenvalue multiplicity function m g ( k ) is of maximal growth among metrics of the same dimension and volume. Canonical spheres ( S n , can ) and CROSSes are MD, and one asks if they are the only examples. We show that a MD metric must be at least a Zoll metric with just one distinct eigenvalue in each cluster, and hence with all band invariants equal to zero. The principal band invariant is then calculated in terms of geodesic integrals...

Fourier analysis of a space of Hilbert-Shmidt operators. New type operators.

Jaak Peetre (1990)

Publicacions Matemàtiques

Similarity:

If a group acts via unitary operators on a Hilbert space of functions then this group action extends in an obvious way to the space of Hilbert-Schmidt operators over the given Hilbert space. Even if the action on functions is irreducible, the action on H.-S. operators need not be irreducible. It is often of considerable interest to find out what the irreducible constituents are. Such an attitude has recently been advocated in the theory of "Ha-pliz" (Hankel + Toeplitz) operators. In...