energy 
Finite energy bandlimited functions are reconstructed iteratively


When, in addition, the TolimieriOrr condition A is satisfied, the minimum energy dual windowoγ ε L2(?) can be sampled as well, and the two sampled windows continue to be related by duality and minimality.


Finiteenergy high frequency signals, bandpass frequency signals, and bandstop frequency signals are characterized.


We use the analytic tools such as the energy, and the Laplacians defined by Kigami


On Global Finite Energy Solutions of the CamassaHolm Equation


We consider the CamassaHolm equation with data in the energy norm H1(R1).


We establish spectral estimates at a critical energy level for hpseudodifferential operators.


When the singularities are not integrable on the energy surface the results are significative since the order w.r.t.


We also review spherical wavelet analyses that independently provide evidence for dark energy, an exotic component of our Universe of which we know very little currently.


The best windows for the purpose of localized spectral analysis have their energy concentrated in the region of interest while possessing the smallest effective bandwidth as possible.


The minimum energy solutions of the differential equations are proven to correspond to the tight frames that minimize the error term.


Results obtained both by molecular mechanics and semiempirical methods indicate that for ameltolide, the cis and trans forms have similar energy content.


The denaturation data are analyzed based on the effective Gibbs free energy (ΔG°eff) approach and the chemical denaturation parameters including ΔG°eff, m value and equilibrium unfolding constant (KU) were obtained.


The energy method is the main method used for errors estimation in this paper.


The existence and uniqueness of a global smooth solution of this system with Cauchy problem and its stability and time decay rate are studied by means of an elementary energy method.


The methods rely on the energy analysis and a scale argument.


Several theorems on the finiteness of energy for quasiharmonic spheres are proved, some counterexamples which state that the energy of quasiharmonic sphere may be infinite are given.


It is proved if 0>amp;lt;k>amp;lt;1, there exist periodic solutions having the same energy as the constant solution u=0; if 1>amp;lt;k>amp;lt;3/2, there exist periodic solutions having the same energy as the stable states u=±√k1.


The implementation of this method depends on the Lp  Lq estimate and the energy estimate.


Solutions of GinzburgLandau equations with weight and minimizers of the renormalized energy

