Displaying similar documents to “ L p - L q -estimates for functions of the Laplace-Beltrami operator on noncompact symmetric spaces. II.”

Poisson transforms for differential forms

Christoph Harrach (2016)

Archivum Mathematicum

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We give a construction of a Poisson transform mapping density valued differential forms on generalized flag manifolds to differential forms on the corresponding Riemannian symmetric spaces, which can be described entirely in terms of finite dimensional representations of reductive Lie groups. Moreover, we will explicitly generate a family of degree-preserving Poisson transforms whose restriction to real valued differential forms has coclosed images. In addition, as a transform on sections...