We prove fourteen equivalent conditions for a set of time-frequency shifts on a lattice Λ, {e2g(t − λ1) : (λ1, λ2) ∈ Λ} ⊆ L (R), to be a frame for L(R). Remarkably, several of these conditions can be formulated without an inequality. In particular, instead of checking the invertibility of the frame operator on L(R), it suffices to verify that it is one-to-one on a certain subspace of tempered d...

in this paper we get some results and applications for duals and approximate duals of g-frames in hilbert spaces. in particular, we consider the stability of duals and approximate duals under bounded operators and we study duals and approximate duals of g-frames in the direct sum of hilbert spaces. we also obtain some results for perturbations of approximate duals.

in this paper, g-dual function-valued frames in l2(0;1) are in-troduced. we can achieve more reconstruction formulas to ob-tain signals in l2(0;1) by applying g-dual function-valued framesin l2(0;1).

Hilbert frames theory have been extended to frames in Hilbert $C^*$-modules. The paper introduces equivalent $*$-frames and presents ordinary duals of a constructed $*$-frame by an adjointable and invertible operator. Also, some necessary and sufficient conditions are studied such that $*$-frames and ordinary duals or operator duals of another $*$-frames are equivalent under these conditions. W...

In 1990, Daubechies proved a fundamental identity for WeylHeisenberg systems which is now called the Weyl-Heisenberg Frame Identity. WH-Frame Identity: If g ∈ W (L∞, L), then for all continuous, compactly supported functions f we have: ∑ m,n | < f, EmbTnag > | = 1 b ∑

\Sunshine: A high peformance self-routing broadband packet switch architecture," Proc. 17] M. Kondo, et al., \High-speed optical time switch with integrated optical 1 4 switches and single polarization ber delay lines," Technical Digest, Intl. \Serial array time slot inter-changers and optical implementations, 25 Both networks preserve frame integrity and can handle synchronous TDM input stream...

The paper purpose is to present some aspects regarding the control system of unmanned aerial vehicle UAV, used to local observations, surveillance and monitoring interest area. The calculus methodology allows a numerical simulation of UAV evolution in bad atmospheric conditions by using nonlinear model, as well as a linear one for obtaining guidance command. The UAV model which will be presente...

In this article we prove two well-known theorems of Jankov in a uniform frame-theoretic manner. In frame-theoretic terms, the first one states that for each finite rooted intuitionistic frame there is a formula ψ with the property that this frame can be found in any counter-model for ψ in the sense that each descriptive frame that falsifies ψ will have this frame as the p-morphic image of a gen...

To analyze the multi-dimensional seismic mitigation performance and torsional vibration characteristic of an L-shaped frame structure with a magnetorheological damper (MRD). Firstly, mechanical property MRD is experimentally studied. Then, calculation models without MRDs are found through theoretical analysis, programs compiled. Finally, time history responses calculated during excitation bi-di...