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Representations of the Weyl group in spaces of square integrable functions with respect to \(p\)-adic valued Gaussian distributions. (English) Zbl 0903.46073

MSC:
46S10 Functional analysis over fields other than \(\mathbb{R}\) or \(\mathbb{C}\) or the quaternions; non-Archimedean functional analysis
81S05 Commutation relations and statistics as related to quantum mechanics (general)
46N50 Applications of functional analysis in quantum physics
47N50 Applications of operator theory in the physical sciences
81R05 Finite-dimensional groups and algebras motivated by physics and their representations
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