BACKGROUND CONTEXT The X-STOP interspinous decompression device, as a treatment for neurogenic intermittent claudication (NIC) because of lumbar spinal stenosis (LSS), has been shown to be superior to nonoperative control treatment. Current Food and Drug Administration labeling limits X-STOP use to NIC patients with a maximum of 25° concomitant lumbar scoliosis. This value was arrived at arbitr...

a generalization of the known results in fusion frames and $g$-frames theory to continuous fusion frames which defined by m. h. faroughi and r. ahmadi, is presented in this study. continuous resolution of the identity (cri) is introduced, a new family of cri is constructed, and a number of reconstruction formulas are obtained. also, new results are given on the duality of continuous fusion fram...

The admissible symmetry groups of attractors for continuous equivariant mappings were classified in Ashwin and Melbourne [1994] and Melbourne, Dellnitz and Golubitsky [1993]. We consider extensions of these results to include attractors in fixed-point subspaces, attractors for equivariant diffeomorphisms and flows, and attractors in the presence of a continuous symmetry group. Our results lead ...

where f is a continuous function of compact support onGwith values in V . This is not quite a trivial matter. If V is assumed to be complete, a definition by Riemann sums works quite well, but this is an unnecessarily strong requirement. The natural condition on V seems to be that it be quasi-complete, a somewhat technical but nonetheless valuable condition. Continuous representations of a loca...

where f is a continuous function of compact support onGwith values in V . This is not quite a trivial matter. If V is assumed to be complete, a definition by Riemann sums works quite well, but this is an unnecessarily strong requirement. The natural condition on V seems to be that it be quasi-complete, a somewhat technical but nonetheless valuable condition. Continuous representations of a loca...