Sentence examples for shift operator is from inspiring English sources

(38) This shift operator is a unitary operation and it can be realized experimentally by using fundamental quantum gates [6, 20].

We remark that this shift operator is closely connected with the Bessel differential operator.

The Bessel-generalized shift operator is one of the most important generalized shift operator on the half line R +, [11, 12].

First, we observe that and for all Also, we notice that if is a complex sequence that converges, then the weighted shift operator is a nontrivial element of Now, we prove the following result.

Since a Bessel-generalized shift operator is a translation operator corresponding to the multidimensional Bessel operator, we construct a family of R B by using a Bessel-generalized shift operator.

A linear functional on is said to be a Banach limit (see [5]) if it has the following properties: (1) if for all ; (2) where ; (3), where the shift operator is defined by.

Spatial shift operator and temporal forward shift operator are introduced to model the interconnected systems as discrete time-space multidimensional linear systems with Markovian jumping parameters which reflect the state of communication channels.

In this paper, singular integral operators generated by a Bessel-generalized shift operator are studied.

In addition, the mean value formulas related to the Bessel-generalized shift operator are given.

The derivative and the shift operator are related by the formula.

Also, singular integral operators related to the generalized shift operator were studied by [7] and [8 10] and others.