Commutational properties of powers of operators of mixed type decreasing the powers.

Autor: Hristova, Miryana S.
Předmět:
Zdroj: AIP Conference Proceedings; Dec2013, Vol. 1570 Issue 1, preceding p393-400, 9p
Abstrakt: The operator ... was considered in [7] with nonnegative integers p,q 2 Z+, p < q+1, i.e. when it increases the powers. Here we consider arbitrary powers Hs in the case when H decreases the powers, i.e. when p > q+1, in the space A0 of the functions analytic in nighbourhoods of the origin in the complex plane C. Power series description of the commutant of Hs is given and then the question about the minimal commutativity of Hs (in the sense of Raichinov [3]) is discussed. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index