Sentence examples for transform associated from inspiring English sources

Let (mathcal{R}=nabla (-Delta +W)^{-frac{1}{2}}) be the Riesz transform associated with L.

The signal transform associated with discrete-time tight Gabor frames fulfills Parseval's identity.

They are expanded in terms of an integral transform associated to the sub-Laplacian.

It is the domain of the Legendre Fenchel transform associated with a certain convex function.

In particular the authors have introduced and studied the generalized Fourier transform associated with the Weinstein operator.

This class of stability for the Mallat's multiresolution transform associated to orthogonal wavelet filters that belong to the class of linear multiresolution algorithms is revisited.

That is, we define classes of transforms associated with these problems and derive sampling expansions for these classes.

We prove that integral transforms associated with Dirac systems with an internal point of discontinuity can also be reconstructed in a sampling form of Lagrange interpolation type.

Recently, a number of authors have studied various image formulas for these q-integral transforms, associated with a variety of special functions.

Using noncommutative Berezin transforms associated with each variety, we develop an operator model theory and dilation theory for large classes of varieties in noncommutative polydomains.

An important role in this paper is played by a class of noncommutative cones associated with positive linear maps, the Fourier type representation of their elements, and the constrained noncommutative Berezin transforms associated with these elements.