The algebraic characterization of dual univariate interpolating subdivision schemes is investigated. Specifically, we provide a constructive approach for finding based on the solutions certain associated polynomial equations. proposed also makes it possible to identify conditions existence sought schemes.

Linear evolution equations are considered usually for the time variable being defined on an interval where typically initial conditions or time-periodicity of solutions required to single out certain solutions. Here we would like make a point allowing be metric graph network branching points coupling imposed such that can have ramifications and even loops. This not only generalizes classical se...

We show that the spin-2 equations on Minkowski space in the gauge of the ‘regular finite initial value problem at space-like infinity’ imply estimates which, together with the transport equations on the cylinder at space-like infinity, allow us to obtain for a certain class of initial data information on the behaviour of the solution near space-like and null infinity of any desired precision.