in this paper, we dene and study two operators s and s with grill.characterization and basic properties of these operators are obtained. also,we generalize a grill topological spaces via topology  s induced from operatorss and s.

on utilizing the spectral representation of selfadjoint operators in hilbert spaces, some error bounds in approximating $n$-time differentiable functions of selfadjoint operators in hilbert spaces via a taylor's type expansion are given.

It is well known that the Newton and the Chebyshev methods for nonlinear systems require solving of a linear system at each iteration step. In this note we shall study two modified methods which avoid solving of linear systems by using the Schultz method to approximate inverses of Fréchet derivatives. At the same time we shall use the particularities of nonlinear systems arising from eigenprobl...

The space-time Greens functions for 3-D poststack and 3-D prestack migration in a homogeneous medium are derived under the fareld approximation. These Greens functions can be used to practically compute synthetic migrated images. Examples are given for the recording footprint noise associated with a point scatterer and a meandering river channel. The Greens functions also provide fundamental in...

Inelastic resonances in the electron tunneling spectra of several conjugated molecules are simulated using the nonequilibrium Greens function formalism. The vibrational modes that strongly couple to the electronic current are different from the infrared and Raman active modes. Spatially resolved inelastic electron tunneling (IET) intensities are predicted. The simulated IET intensities for a la...