Sentence examples for corresponding to the operator from inspiring English sources

Let now ([D]_{t}) be the Banach space D endowed with the graph norm corresponding to the operator (A t)).

Let (mathbf{t}_{A}) be the form corresponding to the operator (A=A^{ast}>0) in (mathfrak{H}).

Let ([D]) be the space D endowed with the graph norm corresponding to the operator (A(0)).

If for any φ ( t, z ) ∈ C 0 ∞ , ( g, D ′ φ ) = ( f, φ ), then f is called a generalized derivative corresponding to the operator D of g.

Remark Putting μ = 1 in the above results, we obtain the results corresponding to the operator H p, β, 1 α defined by (1.11).

Then the matrix corresponding to the operator (restricted to C m [ x ] ) in the basis β m is given by (1).

In this paper, by using the properties of the Green function, (u_{0} -positive operator and Gelfand's formula, some properties of the first eigenvalue corresponding to the relevant operator are obtained.

The version of the Calculus of Individuals presented in Leonard's (1930) dissertation used yet another primitive, corresponding to the sum operator defined in (40i) below (with i=3).

We investigate spectral multipliers, Bochner Riesz means and the convergence of eigenfunction expansion corresponding to the Schrödinger operator with anharmonic potential L= −d2dx2+|x|.

Secondly, we use the Pohozaev identity to derive the method of multipliers and we apply it to study the exact boundary controllability for the wave and Schrödinger equations corresponding to the singular operator Aλ.

As it can be observed in Fig. 6b, all Q loo 2 values are superior to 50%, with the best performances corresponding to the statistical operators, followed by the mean operators and lastly by the norms.