This paper focuses on the spectral properties of a bounded self-adjoint operator in L2(Rd) being sum convolution with an integrable kernel and multiplication by continuous potential converging to zero at infinity. We study both essential discrete spectra this operator. It is shown that spectrum union image potential. then provide number sufficient conditions for existence obtain lower upper bou...

We shall study properties of box spline operators: cardinal interpolation, convolution, and the Bernstein-Schnabl operator. We prove the saturation theorem.

This paper focuses on directional textures. It provides a new framework for the design of convolution masks dedicated to orientation estimation and an adaptive algorithm which chooses the best mask size for each pixel. The design of the adaptive algorithm is based on the combination of two complementary operators: a gradient based operator which is adapted to sloped regions and a valleyness det...

If the Navier-Stokes equations are averaged with a local, spacial convolution type filter, φ = gδ ∗ φ , the resulting system is not closed due to the filtered nonlinear term uu. An approximate deconvolution operator D is a bounded linear operator which satisfies

We consider a general form of reaction-dispersion equations with non-local dispersal and local reaction. Under some general conditions, we prove the non-existence of transition fronts, as well as some stretching properties at large time for the solutions of the Cauchy problem. These conditions are satisfied in particular when the reaction is monostable and when the dispersal operator is either ...