TY: JOUR
T1 - Commutators on Fock spaces
A1 - Alpay, Daniel
A1 - Cerejeiras, Paula
A1 - Kähler, Uwe
A1 - Kling, Trevor
N2 - Given a weighted l2 space with weights associated with an entire function, we consider pairs of weighted shift operators, whose commutators are diagonal operators, when considered as operators over a general Fock space. We establish a calculus for the algebra of these commutators and apply it to the general case of Gelfond?Leontiev derivatives. This general class of operators includes many known examples, such as classic fractional derivatives and Dunkl operators. This allows us to establish a general framework, which goes beyond the classic Weyl?Heisenberg algebra. Concrete examples for its application are provided.
UR - https://ria.ua.pt/handle/10773/37009
Y1 - 2023
PB - AIP Publishing