Computation in the analog domain is very appealing from a power-consumption perspective. To implement a wavelet transform in an analog circuit, the wavelet function can be approximated by a linear system. An approach based on L2-approximation is presented, that enables largely automated approximation of wavelet functions by impulse responses of linear systems. Various continuous wavelet functio...

Recently A. D. Ionescu (2000) established the endpoint estimate for the Kunze-Stein phenomenon, which states that if G is a noncompact connected semisimple Lie group of real rank one with finite center, then L(G) ∗ L(G) ⊆ L2,∞(G). In this paper, we will prove the corresponding result for the Jacobi transform. Our method is analytical, in which we do not use the structure of Lie groups.

In this report, a summary of [1] is given. In [1] the authors provide a complete characterization of closed shift-invariant subspaces of L2(R) and the corresponding approximation order. The characterization of principal shift-invariant spaces is given in terms of the Fourier transform of the generator. The approximation order of a general shift-invariant space is the same as a suitably chosen p...

A new method is proposed for testing the mixed Poisson model which employs the well known identity between the probability generating function of the mixed Poisson distribution and the Laplace transform of the mixing distribution. The method utilizes a weighted L2-type statistic which may be easily calculated and the resulting test is consistent against general alternatives. A limit statistic i...

We shall see that in these cases the spectra come from irreducible representations of G occurring in L2(Γ\G), and that the resulting integral transform of g has a kernel composed of Bessel functions of representations of G. It should be noted that (2) can readily be extended to any imaginary quadratic number field of class number one. Other examples that share the same structure and have been m...

We comment on a recent letter by L. C. de Albuquerque and M. M. in which results to second order in ǫ = 4 − d + m 2 were presented for the critical exponents ν L2 , η L2 and γ L2 of d-dimensional systems at m-axial Lifshitz points. We point out that their results are at variance with ours. The discrepancy is due to their incorrect computation of momentum-space integrals. Their speculation that ...

Four synthetic peptides (Peptidyl MIMs; Demeter Biotechnologies, Inc.) were evaluated for their in vitro activity against Acholeplasma laidlawii. Fifty percent effective concentration values ranged from 1 to 15 microM. Three of these compounds are more lethal than cecropin B against A. laidlawii.

A tandem solar cell device whose sub-cells are fabricated exclusively from small molecules (SMs) through both solution-processed and vacuum-processed deposition techniques is described. The front sub-cell's active layer consists of a bulk heterojunction (BHJ) DPP(TBFu)2:PC70BM device while the back cell has a typical bilayer structure employing a 2,4-bis[4-(N,N-diisobutylamino)-2,6-dihydroxyphe...

In this study, reactions of (PPh2)2NCH2CH2N(PPh2)2 (L1) and {(PPh2)2NCH2CH2}3N (L2) with [RuII(acac)2(CH3CN)2] led to the production new dinuclear complex [Ru(acac)2]2(L1) (1) trinuclear [Ru(acac)2]3(L2) (2). Complex 1 2 are excellent candidates for role catalyst precursors in transfer hydrogenation (TH) acetophenone its derivatives. Compared (1), (2) is an exceptional catalyst, producing corre...

This paper presents a method for synthesis and cytotoxicity of new platinum(II) complexes of (9'-fluorene)-spiro-5-hydantoin (L1) and (9'-fluorene)-spiro-5-(2-thiohydantoin) (L2). The new obtained complexes were studied by elemental analysis: ultraviolet-visible, attenuated total reflection Fourier transform infrared (ATR-FTIR), and 1H- and 13C-NMR for Pt(II) compounds and additionally Raman sp...