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- W2503184126 abstract "We consider Toeplitz operators on Bergman spaces over the bounded symmetric domain SU(n, n)/S(U(n)×U(n)). As a special case of a previous result, it was shown that Toeplitz operators with radial symbols (that is, symbols that are invariant under the action of S(U(n)×U(n))) generate a commutative C∗-algebra. As a consequence, it is possible to simultaneously diagonalize all Toeplitz operators with radial symbols. We explicitly determine the simultaneous eigenspaces using the representation theory of U(n) and provide an integral formula for computing the eigenvalues of a Toeplitz operator with a given radial symbol. This is joint work with Raul Quiroga." @default.
- W2503184126 created "2016-08-23" @default.
- W2503184126 creator A5037562475 @default.
- W2503184126 date "2016-01-01" @default.
- W2503184126 modified "2023-09-24" @default.
- W2503184126 title "Radial Toeplitz operators on the weighted Bergman spaces of the Cartan domain $SU(n,n)/S(U(n)times U(n))$" @default.
- W2503184126 hasPublicationYear "2016" @default.
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