The investigation of wavefront sets of n-point distributions in quantum field theory has recently acquired some attention stimulated by results obtained with the help of concepts from microlocal analysis in quantum field theory in curved spacetime. In the present paper, the notion of wavefront set of a distribution is generalized so as to be applicable to states and linear functionals on nets o...

In a recent paper (Cf. [19]), we have presented the definitions and essential properties of generalized topological operators 
 g-Int_g, g-Cl_g : P (Ω) −→ (g-T_g-interior g-T_g-closure operators) in space T_g = (Ω, T_g) (T_g-space). Principally, have
 shown that (g-Int_g , g-Cl_g) × is ∅)-grounded, (expansive, non-expansive), (idempotent, idempotent) (∩, ∪)-additive. We also g-Int_g f...

A theoretical framework for proposed \weak Tau" type of approximation schemes is considered in the context of least-squares parameter estimation problems for partial dierential equations. A convergence theory which includes parameter estimate convergence and method stability is developed. Numerical results demonstrating the possible advantages of these ideas are also presented.