Resolvent and spectral measure on non-trapping asymptotically hyperbolic manifolds I: Resolvent construction at high energy

This is the first in a series of papers in which we investigate the resolvent and spectral measure on non-trapping asymptotically hyperbolic manifolds with applications to the restriction theorem, spectral multiplier results and Strichartz estimates. In this first paper, we use semiclassical Lagrangian distributions and semiclassical intersecting Lagrangian distributions, along with Mazzeo-Melrose 0-calculus, to construct the high energy resolvent on general non- trapping asymptotically hyperbolic manifolds, generalizing the work due to Melrose, Sa Barreto and Vasy. We note that there is an independent work by Y. Wang which also constructs the high-energy resolvent.Comment: 49 page

Giving You back Control of Your Data: Digital Signing Practical Issues and the eCert Solution

As technologies develop rapidly, digital signing is commonly used in eDocument security. However, unaddressed issues exist. An eCertificate system represents the problem situation, and therefore is being used as case study, in a project called eCert, to research for the solution. This paper addresses these issues, explores the gap between current tools and the desired system, through analysis of the existing services and eCertificate use cases, and the identified requirements, thereby presenting an approach which solves the above problems. Preliminary results indicate that the recommendation from this research meets the design requirements, and could form the foundation of future study of solving digital signing issues