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- W1489595501 abstract "This work produces a q-analogue of the Cauchi-Szego integral representation that retrieves a holomorphic function in the matrix ball from its values on the Shilov boundary. Besides that, the Shilov boundary of the quantum matrix ball is described and the U_q su(m,n)-covariance of the U_q s(u(m)x u(n))-invariant integral on this boundary is established. The latter result allows one to obtain a q-analogue for the principal degenerate series of unitary representations related to the Shilov boundary of the matrix ball." @default.
- W1489595501 created "2016-06-24" @default.
- W1489595501 creator A5037793888 @default.
- W1489595501 date "2001-01-22" @default.
- W1489595501 modified "2023-09-27" @default.
- W1489595501 title "Quantum matrix ball: the Cauchi-Szego kernel and the Shilov boundary" @default.
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