R. Mukhopadhyay,1,* S. Mitra,1 M. Johnson,2 V. R. Rajeev Kumar,3 and T. Pradeep3,† 1Solid State Physics Division, Bhabha Atomic Research Centre, Mumbai 400 085, India 2Institute Lau-Langevin, BP156, F-38042, Grenoble, Cedex 9, France 3DST Unit on Nanoscience, Department of Chemistry and Sophisticated Analytical Instrument Facility, Indian Institute of Technology Madras, Chennai 600 036, India R...

Let G be a locally compact group. Consider the Banach algebra L1(G) ∗∗, equipped with the first Arens multiplication, as well as the algebra LUC(G)∗, the dual of the space of bounded left uniformly continuous functions on G, whose product extends the convolution in the measure algebra M(G). We present (for the most interesting case of a non-compact group) completely different – in particular, d...

As a noncommutative generalization of the addition formula of theta functions, we construct a class of theta functions which are closed with respect to the Moyal star product of a fixed noncommutative parameter. These theta functions can be regarded as bases of the space of holomorphic homomorphisms between holomorphic line bundles over noncommutative complex tori.

Given any number eld and Dirichlet character for that eld, we construct a theta function on a restricted product of p-adic half-planes. An explicit formula for the theta multiplier is obtained through local calculations.

‎The largest class of hyperstructures is the one which satisfies the weak properties; these are called $H_{v}$-structures‎. ‎In this paper we introduce a special product of elements in $H_{v}$-group $H$ and define a new class of $H_{v}$-groups called strongly $H_{v}$-groups‎. ‎Then we show that in strongly $H_{v}$-groups $beta=beta^{ast}$‎. ‎Also we express $theta$-hyperoperation and investigat...

The theta subunit (holE gene product) of Escherichia coli DNA polymerase (Pol) III holoenzyme is a tightly bound component of the polymerase core. Within the core (alpha-epsilon-theta), the alpha and epsilon subunits carry the DNA polymerase and 3' proofreading functions, respectively, while the precise function of theta is unclear. holE homologs are present in genomes of other enterobacteriae,...