in this paper we get some results and applications for duals and approximate duals of g-frames in hilbert spaces. in particular, we consider the stability of duals and approximate duals under bounded operators and we study duals and approximate duals of g-frames in the direct sum of hilbert spaces. we also obtain some results for perturbations of approximate duals.

in this paper, g-dual function-valued frames in l2(0;1) are in-troduced. we can achieve more reconstruction formulas to ob-tain signals in l2(0;1) by applying g-dual function-valued framesin l2(0;1).

We investigate the Butcher-Oemler effect using samples of galaxies brighter than observed frame K * + 1.5 in 33 clusters at 0.1 z 0.9. We attempt to duplicate as closely as possible the methodology of Butcher & Oemler. Apart from selecting in the K-band, the most important difference is that we use a brightness limit fixed at 1.5 magnitudes below an observed frame K – 2 – the nominal limit of r...

Hilbert frames theory have been extended to frames in Hilbert $C^*$-modules. The paper introduces equivalent $*$-frames and presents ordinary duals of a constructed $*$-frame by an adjointable and invertible operator. Also, some necessary and sufficient conditions are studied such that $*$-frames and ordinary duals or operator duals of another $*$-frames are equivalent under these conditions. W...

AbstractObjective: To investigate the impact of respiratory motion on localization, and quantification lung lesions for the Gross Tumour Volume utilizing an in-house developed Auto3Dreg programme and dynamic NURBS-based cardiac-torso digitised phantom (NCAT). Methods: Respiratory motion may result in more than 30% underestimation of the SUV values of lung, liver and kidney tumour lesions. The m...

We construct light cones for the semi-analytic galaxy formation simulation of Guo et al. and make mock catalogues for comparison with deep high-redshift surveys. Photometric properties are calculated with two different stellar population synthesis codes in order to study sensitivity to this aspect of the modelling. The catalogues are publicly available and include photometry for a large number ...

Type IIn supernovae (SNe IIn) dominate the brightest supernova events in observed FUV flux (∼1200 − 2000Å). We show that multi-band, multi-epoch optical surveys complete to mr = 27 can detect the FUV emission of ∼25 z > 2 SNe IIn deg yr rest-frame (∼10 SNe IIn deg yr observed-frame) to 4σ using a technique monitoring color-selected galaxies. Moreover, the strength and evolution of the bright em...

We present HST NICMOS+ACS and Spitzer IRAC+MIPS observations of 41 galaxies at 2 < z < 3.5 in the FIRES MS1054 field with red and blue rest-frame optical colors. About half of the galaxies are very compact (effective radii re < 1 kpc) at rest-frame optical wavelengths, the others are extended (1 < re < 10 kpc). For reference, 1 kpc corresponds to 0. 12 at z = 2.5 in the adopted cosmology. We se...

This paper reviews the dust content of the high redshift (z > 2) universe. Studies of the various " species " in the high-z " zoo " show that almost all have strong evidence for containing dust. The one exception, where the evidence is not yet convincing, is in quasar absorption line systems, particularly those with low column density. These may not even be associated with galaxies. The high-z ...