Noncommutative Fourier Series on Z2\SE(2)\mathbb{Z}^2\backslash SE(2)

This paper begins with a systematic study of noncommutative Fourier series on $\mathbb{Z}^2\backslash SE(2)$. Let $\mu$ be the finite $SE(2)$-invariant measure on the right coset space $\mathbb{Z}^2\backslash SE(2)$, normalized with respect to Weil's formula. The analytic aspects of the proposed method works for any given (discrete) basis of the Hilbert function space $L^2(\mathbb{Z}^2\backslash SE(2),\mu)$. We then investigate the presented theory for the case of a canonical basis originated from a fundamental domain of $\mathbb{Z}^2$ in $SE(2)$. The paper is concluded by some convolution results

Dehydrogenation properties of the LiNH 2 BH 3 /MgH 2 and LiNH 2 BH 3 /LiBH 4 bi-component hydride systems for hydrogen storage applications

Abstract Lithium amidoborane (LiAB) is known as an efficient hydrogen storage material. The dehydrogenation reaction of LiAB was studied employing temperature-programmed desorption methods at varying temperature and H2 pressure. As the dehydrogenation products are in amorphous form, the XRD technique is not useful for their identification. The two-step decomposition temperatures (74 and 118 °C) were found to hardly change in the 1–80 bar pressure range. This is related either to kinetic effects or to thermal dependence of the reaction enthalpy. Further, the possible joint decomposition of LiNH2BH3 with LiBH4 or MgH2 was investigated. Indeed LiBH4 proved to destabilize LiAB, producing a 10 °C decrease of the first-step decomposition temperature, whereas no significant effect was observed by the addition of MgH2. The 5LiNH2BH3 + LiBH4 assemblage shows improved hydrogen storage properties with respect to pure lithium amidoborane

Square-integrability of multivariate metaplectic wave-packet representations

This paper presents a systematic study for harmonic analysis of metaplectic wave-packet representations on the Hilbert function space L2(Rd). The abstract notions of symplectic wave-packet groups and metaplectic wave-packet representations will be introduced. We then present an admissibility condition on closed subgroups of the real symplectic group Sp(Rd), which guarantees the square-integrability of the associated metaplectic wave-packet representation on L2(Rd)