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Abstract Let H be a separable Hilbert space. The periodic Hilbert transform H is bounded as an operator on L p (T ; ℓ 1 N (H)) , 1 < p < ∞ , since ℓ 1 N (H) is a UMD space. We prove that there is a finite constant c p depending only on p such that c p − 1 (ln N + 1) ≤ | | H | | L p (T ; ℓ 1 N (H)) → L p (T ; ℓ 1 N (H)) ≤ c p (ln N + 1). The proof uses probabilistic methods and exploits bounds for differentially subordinate martingales. [ABSTRACT FROM AUTHOR]

In order to attain better reconstruction quality from compressive sensing (CS) of images, exploitation of the dependency or correlation patterns among the transform coefficients commonly has been employed. In this paper, we study a new image sensing technique, called compressive image sensing (CIS), with computational complexity O ( m 2 ), where m denotes the length of a measurement vector y = ϕ x , which is sampled from the signal x of length n via the sampling matrix ϕ with dimensionality m × n . CIS is basically a variation on compressive sampling. The contributions of CIS include: (i) reconstruction speed is extremely fast due to a closed-form solution being derived; (ii) certain reconstruction accuracy is preserved because significant components of x can be reconstructed with higher priority via an elaborately designed ϕ ; and (iii) in addition to conventional 1D sensing, we also study 2D separate sensing to enable simultaneous acquisition and compression of large-sized images. [ABSTRACT FROM AUTHOR]

How the provocative musician is taking new risks to build her career [ABSTRACT FROM AUTHOR]

CSG International has today launched CSG Ascendon; a platform designed to enable service providers to transform their operations and capitalise on digital opportunities. [ABSTRACT FROM AUTHOR]

The results of wells due to be drilled this year could be make-or-break for the four-country Transform Margin, Martin Quinlan writes [ABSTRACT FROM AUTHOR]