Frames which can be generated by the action of some operators (e.g. translation, dilation, modulation, ...) on a single element $f$ in a Hilbert space, called coherent frames. In this paper, we introduce a class of continuous frames in a Hilbert space $mathcal{H}$ which is indexed by some locally compact group $G$, equipped with its left Haar measure. These frames are obtained as the orbits of ...

Finite normalized tight frames are interesting because they provide decompositions in applications and some physical interpretations. In this article, we give a recursive method for constructing them.

‎In this paper‎, ‎by using the sequence of multipliers‎, ‎we introduce frames with algebraic bounds in Hilbert pro-$ C^* $-modules‎. ‎We investigate the relations between frames and $ ast $-frames‎. ‎Some properties of $ ast $-frames in Hilbert pro-$ C^* $-modules are studied‎. ‎Also‎, ‎we show that there exist two differences between $ ast $-frames in Hilbert pro-$ C^* $-modules and Hilbert $ ...

we give some new results on sparse signal recovery in the presence of noise, forweighted spaces. traditionally, were used dictionaries that have the norm equal to 1, but, forrandom dictionaries this condition is rarely satised. moreover, we give better estimationsthen the ones given recently by cai, wang and xu.

In this paper we study the duality of Bessel and g-Bessel sequences in Hilbert spaces. We show that a Bessel sequence is an inner summand of a frame and the sum of any Bessel sequence with Bessel bound less than one with a Parseval frame is a frame. Next we develop this results to the g-frame situation.

The MPEG-4 standard encodes a video stream in 3 different frames, I, P and B, where the P and B frames depend on the I frame. Loosing an I frame is especially bad. In this paper we exploit the Partial Reliability features of the SCTP transport protocol to selectively retransmit I frames in presence of congestion, obtaining a better quality of the decoded stream.

Let 1 p 1 and = (1 ; : : : ; r) T be a vector-valued compactly supported L p function on R d. Deene V p (() = n P r i=1 P j2Z d d i (j) i (? j) : (d i (j)) j2Z d 2 ` p ; 1 i r o : In this paper, we consider the p-frame property of the space V p (() with being compactly supported function in L p \ L p=(p?1). Moreover, for the one-dimensional case, we show that if f i (? j) : 1 i r; j 2 Zg is a p...

in this paper by using concepts of graph theory, forces method and substructure ing method for analysis of structures, some methods have been introduced for optimal analysis of structures in a large scale, using substructuring method. planar rigid frames assuming linear behavior and small deformations, have been optimal analyzed, by using forces method. thus, a fortran power station computation...

Frames play significant role in various areas of science and engineering. Motivated by the work of Chander Shekhar, S. K. Kaushik and Abas Askarizadeh, Mohammad Ali Dehghan, we introduce the concepts of $K$-frames for $B(mathcal{H, K})$ and  we establish some result. Also, we consider the relationships between $K$-Frames and $K$-Operator Frames for $B(mathcal{H})$.