We characterize compact composition operators on real Banach spaces of complex-valued bounded Lipschitz functions on metric spaces, not necessarily compact, with Lipschitz involutions and determine their spectra.

For entire functions, the notions of their growth indicators such as Ritt order are classical in complex analysis. But the concepts of relative Ritt order of entire functions and as well as their technical advantages of not comparing with the growths of $exp exp z$ are not at all known to the researchers of this area. Therefore the studies of the growths of entire functions in the light of thei...

There has been a great deal of activity recently on approaches to the calculation of protein folding using specially devised empirical potential functions. We have developed one such function that solves the protein structure recognition problem: given the sequence for a globular protein and a collection of plausible protein conformations, including the native conformation for that sequence, id...

S.Z. Li, Y.H. Huang, J.S. Fu School of Electrical and Electronic Engineering, Nanyang Technological University Nanyang Avenue, Singapore 2263 ABSTRACT A general de nition of convex potential functions is given for discontinuity-preserving MRF restoration models. This gives a class of Bayesian MRF models which satisfy several desirable analytical and computational properties for regularization o...

It is well known that Exclusive Sum-Of-Products (ESOP) expressions for Boolean functions require on average the smallest number of cubes. Thus, a simple complexity measure for a Boolean function is the number of cubes in its simplest ESOP. It will be shown that this structure-oriented measure of the complexity can be improved by a unique complexity measure which is based on the function. Thus, ...