Sentence examples for operator of the space from inspiring English sources

Frequently, it is necessary to compute functions that involve parameters that are related by some symmetry operator of the space group to the original parameters.

We contend that this group can form the basis for the representation of the radar environment in terms of operators on the space of waveforms.

In order to obtain a translation and modulation invariant operator on the space of signals, the corresponding operator on the reproducing kernel space of Gabor transforms must be left-invariant, i.e. it should commute with the left-regular action of the reduced Heisenberg group Hr.

The filter can also be called an operator on the space of signals.

Furthermore, every linear operator on the space of digital signals may be represented as a matrix.H.1If the range of time is restricted to N samples then the arbitrary linear operator is an N by N matrix.

It is a bounded operator on the space of continuous bounded functions endowed with the uniform norm.

Fang and Zhou [12] also studied the compact differences of composition operators on the space of bounded analytic functions in polydisk.

Hosokawa and co-workers [13] studied the topological components of the topological space of weighted composition operators on the space of bounded analytic functions on the open unit disk in the uniform operator topology.

We apply our results to order-preserving nonlinear Markov operators on the space of probability distribution functions on ℝ.

To illustrate how a candidate fixed point can be constructed in practice, we consider nonlinear Markov operators on the space of probability distribution functions on ℝ.

In this section, we derive some identities or estimates for the Hausdorff measures of noncompactness of certain matrix operators on the spaces of generalized means.