Compressive sensing (CS) merges the operations of data acquisition and compression by measuring sparse or compressible signals via a linear dimensionality reduction and then recovering them using a sparse-approximation based algorithm. A signal is K-sparse if its coefficients in some transform contain only K nonzero values; a signal is compressible if its coefficients decay rapidly when sorted ...

The generalization of p-frame in Banach spaces is considered in this paper. The concepts of an $tilde{X}$-frame and a system conjugate to $tilde{X}$-frame were introduced. Analogues of the results on the existence of conjugate system were obtained. The stability of $tilde{X}$-frame having a conjugate system is studied.

Let be a locally compact non?abelian group and be a compact subgroup of also let be a ?invariant measure on the homogeneous space . In this article, we extend the linear operator as a bounded surjective linear operator for all ?spaces with . As an application of this extension, we show that each frame for determines a frame for and each frame for arises from a frame in via...

the generalization of p-frame in banach spaces is considered in this paper. the concepts of an $tilde{x}$-frame and a system conjugate to $tilde{x}$-frame were introduced. analogues of the results on the existence of conjugate system were obtained. the stability of $tilde{x}$-frame having a conjugate system is studied.

In my paper " Einstein's ether part A " I mainly reexamined the bucket experiment and earth's daily rotation (the problems that had been occupying Mach and Poincaré) from Einstein's General Relativistic point of view. In this paper I further discuss Einstein's General Relativistic solution to the problems that had been occupying Mach and Poincaré. The disc experiment nstead of Newton's bucket, ...