We study the development of conjunctive keyword searchable scheme which enables one to search encrypted documents by using more than one keyword. The notion of conjunctive keyword searching was presented by Golle et al. in 2004. However, their security model was constructed in a symmetric-key setting which is not applicable for the overall applications in the reality. So Park et al. extended Go...

In this paper we present several proofs on the extension of M. Riesz fractional integration and di¤erentiation to the contexts of spaces of homogeneous type and measure metric spaces with non-doubling measures. 1. Introduction, some de…nitions, and a basic lemma Professor M. Ash asked me to write a survey article on some of the results that Stephen Vági and I obtained in the nineties on fractio...

∗Schwartz Center for Economic Policy Analysis, New School, New York, and Center for Empirical Macroeconomics, Bielefeld