A modular space Xρ is defined by a corresponding modular ρ, that is,Xρ = {x ∈ X : ρ(λx) → 0 as λ → 0}. Based on definition of the modular space, Kozłowski [3, 4] introduced the notion ofmodular function space. In the sequel, Kozłowski and Lewicki [5] considered the problem of analytic extension of measurable functions in modular function spaces and discussed some extension properties by means o...

This paper deals with the modular analysis of distributed concurrent systems modelled by Petri nets. The main analysis techniques of such systems suffer from the well-known problem of the combinatory explosion of state space. In order to cope with this problem, we use a modular representation of the state space instead of the ordinary one. The modular representation, namely modular state space,...

The Bisognano-Wichmann property on the geometric behavior of the modular group of the von Neumann algebras of local observables associated to wedge regions in Quantum Field Theory is shown to provide an intrinsic suucient criterion for the existence of a covariant action of the (universal covering of) the Poincar e group. In particular this gives, together with our previous results, an intrinsi...

The Space Solar Power Satellite is an ultra-large space structure, which collects sunlight directly in and then transmits it into the ground. Since idea was invented 1968, scientists around world have proposed several typical conceptual design models. Nevertheless, models not been implemented for technological, manufacturing, cost reasons. This paper presents a novel scheme with modular line-fo...