Representations of the Weyl group in spaces of square integrable functions with respect top-adic valued Gaussian distributions

DOI10.1088/0305-4470/29/17/023zbMath0903.46073OpenAlexW2032652096MaRDI QIDQ4393595

Sergio A. Albeverio, Andrei Yu. Khrennikov

Publication date: 7 January 1999

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/29/17/023

zbMATH Keywords

Weyl-Heisenberg group \(p\)-adic Hilbert space of functions operator quantization over \(p\)-adic numbers

Mathematics Subject Classification ID

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

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