Albeverio, Sergio; Khrennikov, Andrei Representations of the Weyl group in spaces of square integrable functions with respect to \(p\)-adic valued Gaussian distributions. (English) Zbl 0903.46073 J. Phys. A, Math. Gen. 29, No. 17, 5515-5527 (1996). Cited in 2 ReviewsCited in 20 Documents 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 Keywords:\(p\)-adic Hilbert space of functions; Weyl-Heisenberg group; operator quantization over \(p\)-adic numbers PDF BibTeX XML Cite \textit{S. Albeverio} and \textit{A. Khrennikov}, J. Phys. A, Math. Gen. 29, No. 17, 5515--5527 (1996; Zbl 0903.46073) Full Text: DOI OpenURL