2010/06/01 by Anatoly N. Kochubei, Kochubei, Anatoly N.
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Holomorphic and Operator Theory #advanced mathematical theories #math-ph #math.FA #math.MP #msc:47B37 #msc:47S10.
paper · pdf · doi:10.48550/arxiv.1006.0077
arxiv created 2010/06/01 · arxiv updated 2010/06/02
We introduce and study non-Archimedean analogs of the operators of unilateral shift and backward shift playing crucial roles in the classical theory of nonselfadjoint operators. In particular, we find various functional models of these operators having both common and different features compared to their classical counterparts.