Multiplications on a localized Hopf space

Wiener-hopf Operators on Spaces of Functions on R with Values in a Hilbert Space

A Wiener-Hopf operator on a Banach space of functions on R is a bounded operator T such that PS−aTSa = T , a ≥ 0, where Sa is the operator of translation by a. We obtain a representation theorem for the Wiener-Hopf operators on a large class of functions on R with values in a separable Hilbert space.

Spi Multiplications of Oating Point Expansions Multiplications of Oating Point Expansions Multiplications of Oating Point Expansions

In modern computers, the oating point unit is the part of the processor delivering the highest computing power and getting all the attention from the design team. Performances of any multiple precision application will be dramatically enhanced by an adequate usage of the oating point expansions. We present in this work some new multiplication algorithms faster and more integrated than the stepw...

Constant-Space Localized Byzantine Consensus

Adding Byzantine tolerance to large scale distributed systems is considered non-practical. The time, message and space requirements are very high. Recently, researches have investigated the broadcast problem in the presence of a f̀ -local Byzantine adversary. The local adversary cannot control more than f̀ neighbors of any given node. This paper proves sufficient conditions as to when the synchro...

On optimal orientations of tree vertex-multiplications

On the Coderivations of Some Hopf Algebras