This paper reports "work in progress" on a project which I've titled, "The Spaces of Transnational Cultures". The aim of the project is to build on, but be methodologically different from, my earlier research on the architecture and urbanism of colonial and postcolonial cities in which the principal objective had been to demonstrate the inherently constitutive relationship between the political...

In this paper, we intend to define and study concepts of weight and weighted spaces of holomorphic (analytic) functions on the upper half plane. We study two special classes of these spaces of holomorphic functions on the upper half plane. Firstly, we prove these spaces of holomorphic functions on the upper half plane endowed with weighted norm supremum are Banach spaces. Then, we investigate t...

Part 1. Self-reference . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1. Self reproducing Turing machines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2. Myhill’s characterization of r.e.-complete sets . . . . . . . . . . . . . . . . . . . . . . . . . 5 3. The Myhill-Shepherdson Theorem . . . . . . . . . ....

hadamard (or complete $cat(0)$) spaces are complete, non-positive curvature, metric spaces. here, we prove a nonlinear ergodic theorem for continuous non-expansive semigroup in these spaces as well as a strong convergence theorem for the commutative case. our results extend the standard non-linear ergodic theorems for non-expansive maps on real hilbert spaces, to non-expansive maps on had...

In this paper we obtain lower and upper estimates for the essential norms of generalized composition operators from weighted Dirichlet spaces or Bloch type spaces to $Q_K$ type spaces.