ABSTRACT
In Chapter 9, we developed integral formulas showing explicit remainder term expressions involving Green’s functions with respect to (iterated) Beltrami operators. The difficulty of using Green’s functions for Beltrami operators is their explicit representation in terms of numerically manageable expressions, so that implementations often turn out to be laborious. This is the reason why we are interested in generalizing these results to rotation-invariant pseudodifferential operators showing much more accessible realizations of “Green’s functions” and integral formulas for computational purposes, at least for a large class of pseudodifferential operators. Our considerations given in this chapter represent an extension of results presented in W. Freeden et al. [1998].
