The aim of generalized phase retrieval is to recover x ? F d from the quadratic measurements ? A 1 , … N where j H ( ) and = R or C . In this paper, we study matrix set which has almost everywhere property. For case show that ? + generic matrices with prescribed ranks have We also extend result are orthogonal hence establish property for fusion frame retrieval. obtain similar results under assu...

Abstract In the present paper, we prove almost everywhere convergence and divergence of subsequences Cesàro means with zero tending parameters Walsh–Fourier series.

The semigroup-valued integral of M. Sion [S] is reformulated for a general notion of approximation by sums of values taken by a set function integrand. A convergence in measure theorem is established, which yields both his pointwise dominated convergence theorem as well as an integrability criterion which specializes to his existence theorem. In [S] M. Sion introduced and developed an "integral...

in the present paper, we introduce some new sequence spaces derived by riesz mean and the notions of almost and strongly almost convergence in a real 2-normed space. some topological properties of these spaces are investigated. further, new concepts of statistical convergence which will be called weighted almost statistical convergence, almost statistical convergence and statistical convergence...