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- W2010444002 abstract "We study the heat equation associated to a multiplicity function on a root system, where the corresponding Laplace operator has been defined by Heckman and Opdam. In particular, we describe the image of the associated Segal–Bargmann transform as a space of holomorphic functions. In the case where the multiplicity function corresponds to a Riemannian symmetric space G/K of non-compact type, we obtain a description of the image of the space of K-invariant L2-function on G/K under the Segal–Bargmann transform associated to the heat equation on G/K, thus generalizing (and reproving) a result of B. Hall and J. Mitchell for spaces of complex type." @default.
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- W2010444002 date "2007-01-01" @default.
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- W2010444002 title "The Segal–Bargmann transform for the heat equation associated with root systems" @default.
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- W2010444002 doi "https://doi.org/10.1016/j.aim.2006.01.014" @default.
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