Some Results of 2π-Periodic Functions by Fourier Sums in the Space L p (2π)

Abstract In this paper, using the Steklov function, we introduce the generalized continuity modulus and define the class of functions W r,k p,ϕ in the space L p . For this class, we prove an analog of the estimates i

Generalization of Titchmarsh's Theorem for the Generalized Fourier-Bessel Transform in the Space L 2 α,n

Abstract. In this paper, using a generalized translation operator, we prove the estimates for the generalized Fourier-Bessel transform in the space L 2 α,n , on certain classes of functions

Jacobi Transform of (Ν,Γ,P)-Jacobi–Lipschitz Functions in the Space Lp(R+,Δ(Α,Β)(T)Dt)

Using a generalized translation operator, we obtain an analog of Younis' theorem [Theorem 5.2, Younis M.S. Fourier transforms of Dini–Lipschitz functions, Int. J. Math. Math. Sci., 1986] for the Jacobi transform for functions from the (ν,γ,p)-Jacobi–Lipschitz class in the space Lp(R+,Δ(α,β)(t)dt).Dedicated to Professor Radouan Daher for his 61’s birthday.The authors would like to thank the referee for his valuable comments and suggestions

Targeting surface nucleolin with a multivalent pseudopeptide delays development of spontaneous melanoma in RET transgenic mice

<p>Abstract</p> <p>Background</p> <p>The importance of cell-surface nucleolin in cancer biology was recently highlighted by studies showing that ligands of nucleolin play critical role in tumorigenesis and angiogenesis. By using a specific antagonist that binds the C-terminal tail of nucleolin, the HB-19 pseudopeptide, we recently reported that HB-19 treatment markedly suppressed the progression of established human breast tumor cell xenografts in the athymic nude mice without apparent toxicity.</p> <p>Methods</p> <p>The <it>in vivo </it>antitumoral action of HB-19 treatment was assessed on the spontaneous development of melanoma in the RET transgenic mouse model. Ten days old RET mice were treated with HB-19 in a prophylactic setting that extended 300 days. In parallel, the molecular basis for the action of HB-19 was investigated on a melanoma cell line (called TIII) derived from a cutaneous nodule of a RET mouse.</p> <p>Results</p> <p>HB-19 treatment of RET mice caused a significant delay in the onset of cutaneous tumors, several-months delay in the incidence of large tumors, a lower frequency of cutaneous nodules, and a reduction of visceral metastatic nodules while displaying no toxicity to normal tissue. Moreover, microvessel density was significantly reduced in tumors recovered from HB-19 treated mice compared to corresponding controls. Studies on the melanoma-derived tumor cells demonstrated that HB-19 treatment of TIII cells could restore contact inhibition, impair anchorage-independent growth, and reduce their tumorigenic potential in mice. Moreover, HB-19 treatment caused selective down regulation of transcripts coding matrix metalloproteinase 2 and 9, and tumor necrosis factor-α in the TIII cells and in melanoma tumors of RET mice.</p> <p>Conclusions</p> <p>Although HB-19 treatment failed to prevent the development of spontaneous melanoma in the RET mice, it delayed for several months the onset and frequency of cutaneous tumors, and exerted a significant inhibitory effect on visceral metastasis. Consequently, HB-19 could provide a novel therapeutic agent by itself or as an adjuvant therapy in association with current therapeutic interventions on a virulent cancer like melanoma.</p

Dunkl Lipschitz functions for the Generalized Fourier-Dunkl Transform in the Space L2

In this paper, using a generalized translation operator, we prove theestimates for the generalized Fourier-Dunkl transform in the space L2 on certainclasses of functions

(δ,γ)(\delta, \gamma)-Dunkl Lipschitz functions in the space L2(R,∣x∣2α+1dx)\mathrm{L}^{2}(\mathbb{R}, |x|^{2\alpha+1}dx)

Using a generalized Dunkl translation, we obtain an analog of Theorem 5.2 in Younis' paper [2] for the Dunkl transform for functions satisfying the $(\delta, \gamma)$-Dunkl Lipschitz condition in the space $\mathrm{L}^{2}(\mathbb{R}, |x|^{2\alpha+1}dx)$.

Retention of heavy metals (Pb, Cd, Cr and Zn) by a sand area of Agadir: Equilibrium and kinetic

Because of the increasingly importance of industrial and agricultural activities, many pollutants reach aquifers that deplete groundwater quality and rivers with organic and inorganic pollutants such as heavy metals. These latter are huge nuisance to public health and cause serious problems because of their stability and low biodegradability by natural processes.In this study, we tried to develop an abundant raw material from the sand dunes of M'zar (Agadir region) by cleansing them through adsorption wastewater containing heavy metals (Pb, Cd, Cr and Zn). The results are comparable to other media such as kaolinite, Cotton fibers and sawdust