We establish several results yielding linear independence of the affine system generated by ψ in exchange for conditions on the space V (ψ) of negative dilates. A typical assumption yielding linear independence is that the space V (ψ) is shift-invariant. In particular, the affine system generated by a Parseval wavelet is linearly independent. As an illustration of our techniques, we give an alt...

Here we list the equal norm Parseval frames for Hilbert spaces as of 2005. We will continue to update this list as new examples become known. The first author was supported by NSF DMS 0405376. 1

The paper introduced the task designing ideas, data preparation methods, evaluation metrics and results of the second Chinese syntactic parsing evaluation (CIPS-Bakeoff-ParsEval-2010) jointed with SIGHAN Bakeoff tasks.

In this paper, we study the finite Hankel transformation on spaces of generalized functions by developing a new procedure. We consider two Hankel type integral transformations hμ and h∗μ connected by the Parseval equation

In this work, we prove the existence of a spectral function for singular q-Sturm-Liouville operator. Further, we establish a Parseval equality and expansion formula in eigenfunctions by terms of the spectral function.

In this paper we consider a systematic study of several new Lp-boundedness properties for the index 2F1-transform over spaces L?,p (R+), 1 ? p < ?, R, and L? (R+). We also obtain Parseval-type relations these spaces.

ABSTRACT In modern electronic circuits pose a reliability threat, a many applications are necessary to use protection against soft errors, there is no exceptions in the field of communications and signal processing systems. In new trend interesting option is to use Algorithmic Based Fault Tolerant techniques (ABFT) that try to develop the algorithmic properties to detect and correct the errors....

Recent studies focussed on the question whether less-configurational languages like German are harder to parse than English, or whether the lower parsing scores are an artefact of treebank encoding schemes and data structures, as claimed by Kübler et al. (2006). This claim is based on the assumption that PARSEVAL metrics fully reflect parse quality across treebank encoding schemes. In this pape...

In this paper, some new families of orthogonal functions in two variables produced by using Fourier transform bivariate polynomials and their orthogonality relations obtained from Parseval identity are introduced.

We present experimental results for pattern formation in Rayleigh-Bénard convection with modulated rotation about a vertical axis. The dimensionless rotation rate Omega was varied as Omega(m)=Omega[1+delta cos(phi Omega t)] (time is scaled by the vertical viscous diffusion time of the cell). We used a cylindrical cell of aspect ratio (radius/height) Gamma=11.8 and varied Omega, delta, phi, and ...