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Showing 1 to 1 of 1 for “"Hilbert spaces of holomorphic functions"”.
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The Segal-Bargmann transform on inductive limits of compact symmetric spaces
… the Segal-Bargmann transform on the direct limit of the Hilbert spaces $\{L^2(M_n)^{K_n}\}_n$ where $\{M_n = U_n/K_n\}_n$ is a propagating sequence of symmetric spaces of compact type with the assumption that $U_n$ is simply connected for each $n$. This map is obtained by taking the direct limit …