We propose a fiber-wise deformation of the Sasaki metric on slashed and unit tangent bundles over the Kalerian manifold based on the Berger deformation of metric on a unit sphere. The geodesics of this metric have different ...

Let F be the one dimensional Fourier-Plancherel operator and E be a subset of the real axis. The truncated Fourier operator is the operator FE of the form FE = PEFPE, where (PEx)(t) = 1IE(t)x(t), and 1IE(t) is the indicator ...