Holomorphic Realization of Unitary Representations of Banach–Lie Groups

DOI10.1007/978-1-4614-7193-6_10zbMath1282.22012arXiv1011.1210OpenAlexW2151552352MaRDI QIDQ2871400

Karl-Hermann Neeb

Publication date: 23 January 2014

Published in: Progress in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.1210

zbMATH Keywords

unitary representationinfinite-dimensional Lie groupanalytic vectorsmooth vectorsemibounded representationArveson spectrumholomorphic Hilbert bundle

Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (7)

Geometric Perspectives on Reproducing Kernels ⋮ Ground state representations of topological groups ⋮ Semibounded unitary representations of double extensions of Hilbert-loop groups ⋮ Nets of standard subspaces on Lie groups ⋮ On an invariance property of the space of smooth vectors ⋮ Reproducing Kernels and Positivity of Vector Bundles in Infinite Dimensions ⋮ Linear connections for reproducing kernels on vector bundles

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