Ni-20 wt pct Cr wires, as individual wires or within 3D woven structures, are alloyed with Mo, Al, and Ti by gas-phase surface deposition and volume interdiffusion. Mo deposition creates Mo-rich coating and Kirkendall pores. Al+Ti co-deposition creates uniform triple-layered coating. The resulting homogenized and aged Ni-(17.4-19.6)Cr-(1.6-1.8)Al-(2.5-3.6)Ti-(1.54.5)Mo(wt pct) wires exhibit c+ ...

In this paper, a new notion of frames is introduced: $ast$-operator frame as generalization of $ast$-frames in Hilbert $C^{ast}$-modules introduced by A. Alijani and M. A. Dehghan cite{Ali} and we establish some results.

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 frames in L2(0;1).

In this note‎, ‎we aim to show that several known generalizations of frames are equivalent to the continuous frame‎ ‎defined by Ali et al‎. ‎in 1993‎. ‎Indeed‎, ‎it is shown that these generalizations can be considered as an operator between two Hilbert spaces‎.

this paper is an investigation of $l$-dual frames with respect to a function-valued inner product, the so called $l$-bracket product on $l^{2}(g)$, where g is a locally compact abelian group with a uniform lattice $l$. we show that several well known theorems for dual frames and dual riesz bases in a hilbert space remain valid for $l$-dual frames and $l$-dual riesz bases in $l^{2}(g)$.