96-445 Kochubei A.N.

p-ADIC COMMUTATION RELATIONS (12K, AMS-TeX) Sep 26, 96

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. Representations of the canonical and deformed commutation relations by bounded operators on $p$-adic Banach spaces are constructed. Functions from the Mahler basis of the space of $p$-adic continuous functions and their multiplicative analogues are shown to be the $p$-adic counterparts of the Hermite and $q$-Hermite functions. The analogue of the Stone-von Neumann uniqueness theorem fails in the $p$-adic case.

Files: 96-445.tex