Covariant Symbolic Calculi on Real Symmetric Domains

We introduce the concept of ''covariant symbolic calculus'' on real and complex symmetric domains, prove a general product formula for the link transform (generalized Berezin transform) between two such calculi, and describe a basic example (Toeplitz calculus) in more detail.

J. Arazy < jarazy@math.haifa.ac.il >

H. Upmeier < upmeier@mathematik.uni-marburg.de >