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 $l^{2}(g)$.

in this paper we study necessary and sufficient conditions for some types of linear combinations of wave packet frames to be a frame for l^2(r^d). further, we illustrate our results with some examples and applications.

we investigate the problem of the existence of a frame forright ideals of a c*-algebra a, without the use of the kasparov stabilizationtheorem. we show that this property can not characterize a as a c*-algebraof compact operators.

Concentrically braced frames (CBFs) are one of the efficient lateral load resisting systems in high seismicity regions. One of the common problems with the use of concentrically braced frames is limitation in the architectural application and position of the openings. Two-story X braced frames have more advantages than other configurations of concentrically braced frames, since in many cases th...

The editors of Pain and Therapy would like to make the following amend to the Acknowledgements section of the abovementioned paper. The disclosure statement should read as follows: ‘‘No funding or sponsorship was received for this study. For preparation of this article, medical writing assistance was provided by Latoya M. Mitchell, Ph.D., of Grifols. Dr. Tachdjian is the guarantor for this arti...

Background: To examine the Healthy Fitness Zone (pass/fail) criterionreferenced reliability (CRR) and equivalency (CRE) of the 1-mile run/walk (MRW) and Progressive Aerobic Cardiovascular Endurance Run (PACER) in adolescents (13 to 18 years). Methods: Seventy-six girls and 165 boys were randomly assigned to complete 2 trials of each test. Results: CRR for the boys on the MRW (Pa = 77%, κq = 0.5...

the objective of this review to be submitted in two independent parts, for steel frames and for rc frames, is to compare their structural performance with respect to the proposed n2-method, and so also of the consequent convenience of using pushover methodology for the seismic analysis of these structures. a preliminary investigation is presented on a pushover analysis used for the seismic perf...

Writing is a way for students to develop and use their critical thinking skills as well as to demonstrate learning. The links below provide ways that writing can be used both informally and formally throughout the college curriculum and include specific methods for handling all aspects of the writing process from assignment-making to responding and grading. The final link for faculty is a mega-...