Glycolytic enzymes - novel carbohydrate binding proteins for glycoprotein analysis

•The cloning, expression, purification and characterisation of recombinant prokaryotic glycolytic enzymes •The mutagenesis of prokaryotic glycolytic enzymes to generate novel recombinant carbohydrate binding proteins •The characterisation of the binding profile of the novel recombinant carbohydrate binding protein

Strictly positive definite functions on compact abelian groups

We study the Fourier characterisation of strictly positive definite functions on compact abelian groups. Our main result settles the case $G = F \times \mathbb{T}^r$, with $r \in \mathbb{N}$ and $F$ finite. The characterisation obtained for these groups does not extend to arbitrary compact abelian groups; it fails in particular for all torsion-free groups.Comment: 9 pages; submitted to Proc. AM

Eigenfunction expansions of ultradifferentiable functions and ultradistributions

In this paper we give a global characterisation of classes of ultradifferentiable functions and corresponding ultradistributions on a compact manifold $X$. The characterisation is given in terms of the eigenfunction expansion of an elliptic operator on $X$. This extends the result for analytic functions on compact manifold by Seeley, and the characterisation of Gevrey functions and Gevrey ultradistributions on compact Lie groups and homogeneous spaces by the authors.Comment: 19 pages; updated and corrected final version, to appear in Trans. Amer. Math. So

A geometric characterisation of Desarguesian spreads

We provide a characterisation of $(n-1)$-spreads in $\mathrm{PG}(rn-1,q)$ that have $r$ normal elements in general position. In the same way, we obtain a geometric characterisation of Desarguesian $(n-1)$-spreads in $\mathrm{PG}(rn-1,q)$, $r>2$