Surfaces of the Sun and other cool stars are filled with magnetic fields, which either seen as dark compact spots or more diffuse bright structures like faculae. Both hamper detection characterisation exoplanets, affecting stellar brightness spectra, well transmission spectra. However, expected facular spot signals in data quite different, for instance they have distinct temporal spectral profi...

This paper is an investigation of shift invariant subspaces of L2(G), where G is a locally compact abelian group, or in general a local field, with a compact open subgroup. In this paper we state necessary and sufficient conditions for shifts of an element of L2(G) to be an orthonormal system or a Parseval frame. Also we show that each shift invariant subspace of L2(G) is a direct sum of princi...

In the middle of seventeenth century, Andr\'e Tacquet, S.J. briefly discussed a scientific argument regarding structure Copernican universe, and commented on Galileo Galilei's discussion that same -- Galileo's in turn being commentary version by Christoph Scheiner, The was based observations sizes stars. This exchange involving two Jesuits illustrates how through much science meaning measuremen...

High concentration photovoltaic thermal hybrids are expected to play an important role in meeting growing energy demands. When approaching concentrations over 1000 suns, a cooling system is needed maximise both the and electrical performance of multi-junction solar cell without producing excessive parasitic losses. This study develops novel simulation model provides in-depth understanding funct...

Metals usually appear shiny and reflect light, but even seemingly smooth mirrors can luminesce under photoexcitation, i.e. absorb and reemit light. Although this phenomenon has been known for almost 50 years, and plays a significant role in the interaction of light waves with plasmon modes of metallic nanostructures, given the inherent momentum mismatch between electrons and photons the microsc...

Given certain compactly supported functions g ∈ L2(Rd) whose Zd-translates form a partition of unity, and real invertible d×d matrices B, C for which ||CT B|| is sufficiently small, we prove that the Gabor system {EBmTCng}m,n∈Zd forms a frame, with a (non-canonical) dual Gabor frame generated by an explicitly given finite linear combination of shifts of g. For functions g of the above type and ...