Non-archimedean shift operators
Anatoly N. KochubeiInstitute of Mathematics, National Academy of Sciences of Ukraine, Tereshchenkivska 3, Kiev, 01601, Ukraine
2010en
ABI
Abstract
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.
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Cited by 20 references