Riesz transforms for Dunkl transform

In this paper we obtain the $L^p$-boundedness of Riesz transforms for Dunkl transform for all $1<p<\infty$.Comment: 12 page

Bis(4-chloro­benzyl­ammonium) tetra­kis(2,6-diethyl­anilinium) cyclo­hexa­phosphate tetra­hydrate

In the crystal of the title hydrated mol­ecular salt, 2C7H9ClN+·4C10H16N+·P6O18 6−·4H2O, the packing consists of a three-dimensional O—H⋯O and N—H⋯O hydrogen-bonded network resulting from the association of anionic layers built up from centrosymmetric cyclohexaphosphate ions and water mol­ecules and the two types of organic cations

Grape Seed and Skin Extract Mitigates High Dosage Garlic-Induced Oxidative Stress in Rat Heart

Garlic is a commonly used spice in folk medicine which could exert adverse health effects when given at high dose. Grape seed and skin extract (GSSE) exhibits a variety of beneficial effects even at high dose. In the present study we evaluated the toxicity of high garlic dose treatment on heart and the protective effect of GSSE. Rats were intraperitoneally (IP) administered either with garlic extract (5 g/kg bw) or GSSE (500 mg/kg bw) or a combination of garlic and GSSE at the same doses daily for one month. Data showed that high garlic dose induced heart toxicity and a pro-oxidative status characterized by increased MDA, NO, carbonyl protein, LDH, H2O2, free iron, and calcium. Unexpectedly garlic increased catalase and peroxidase but had no effect on superoxide dismutase. GSSE alone or in co-treatment with garlic had an opposite role and counteracted almost all garlic-induced deleterious effects to near control level. In conclusion, high garlic dose induced a pro-oxidative state into heart via the Fenton reaction between H2O2 and free iron, and GSSE exerted antioxidant properties

Design, Realization and Measurements of Compact Dual-band CPW-fed Patch Antenna for 2.45/5.80 GHz RFID Applications

In this paper, a Coplanar Wave Guide (CPW)-Fed microstrip octagonal patch antenna for RFID Applications is proposed. The studied structure is suitable for 2.45/5.80 GHz applications. The octagonal shape is obtained by making triangular cuts in the four angles of the rectangular microstrip patch antenna; in addition the using of CPW-Fed allows obtaining UWB characteristics in the higher band. The miniaturization in the antenna size for lower band is achieved by introducing an inverted E slot in the radiating element. The proposed antenna is designed on a single and a small substrate board of dimensions 29.5×29.5×1.6 mm3. Moreover the miniaturized antenna has a good impedance matching and an enhanced gain. The simulation analysis was performed using the CADFEKO software, a Method of Moment (MoM) based solver, and a prototype of this antenna was fabricated, good agreement with the simulation providing validation of the design procedure. The measurements are done with ANRITSU MS2026C Vectorial Network Analyzer

A Dual Band Compact PIFA Antenna For Internet Of Things Networks Sigfox, Lorawan And Zigbee

In this paper, a planar inverted-F antenna (PIFA) for Internet Of Things (IOT) networks is studied. The proposed structure covers the 868MHz radio frequency band used by LoRaWAN, Sigfox, Z-Wave and ZigBee in Europe and the 2.4GHz radio frequency band used for Zigbee, Bluetooth and WiFi in all the world. The miniaturization in the antenna size is achieved by introducing a meandered microstrip line and the setup of a short line between the resonant element and the ground plane. The antenna has compact size of 100x40x1.6mm3. The radiation patterns in the operating bandwidth are almost the same as the omnidirectional characteristics. The optimization of the antenna parameters was performed by CADFEKO, a Method of Moment (MoM) based solver

Three results in Dunkl theory

In this article, we establish first a geometric Paley-Wiener theorem for the Dunkl transform in the crystallographic case. Next we obtain an optimal bound for the $L^p\to L^p$ norm of Dunkl translations in dimension 1. Finally we describe more precisely the support of the distribution associated to Dunkl translations in higher dimension

Fusion ensembliste de donn´ees pour la surveillance des personnes d´ependantes en habitat intelligent

Our research work is a part of the project FUI 14 FEDER Collectivités E-monitor’âge. This project takes place within the framework of Ambient Assisted Living (AAL) which aims to improve the safety and the comfort of elderly people living in smart nursing homes. This work aims to monitor the activities of elderly persons using information from different sensors. The ADL (Activities of Daily Living) are used to evaluate the ability of the person to perform on their own a selection of the activities which are essential for an independent living in the everyday life. Generally, process knowledge and measurements coming from sensors are prone to indeterminable noise. In our work, we suppose that these errors are unknown but bounded. Taking into account this hypothesis, we show how to solve the estimation issue using set-membership computations techniques. Our algorithm, based on set-membership approach, consists of two steps. The prediction step, based on the use of a random walk mobility with minimum assumptions (maximum speed of moving), employs the previous state estimate to provide the prediction zone where the person may be located. The correction step uses the informations coming from the sensors to refine this predicted zone. This step uses a relaxed constraints propagation technique, q-relaxed intersection, to deal with faulty measurements. This proposed method allows us to compute the uncertainty domain for the reconstructed localization of moving targets as dealing with outliers.Mes travaux de recherches en thèse s’inscrivent dans le cadre du projet FUIE-monitorâge. L’objectif du projet, réunissant de nombreux partenaires industriels et universitaires, est d’améliorer la prise en charge individualisée et la sécurité du résident dans les établissements d’hébergement pour personnes âgées dépendantes(EHPAD). Dans ce travail, nous avons élaboré une méthode de fusion de données multimodales issues des différents capteurs installés dans un smart home. Ces informations sont utilisées pour la localisation intérieure des personnes afin de surveiller leurs activités journalières. Généralement, les mesures issues des capteurs sont soumises à des incertitudes. Dans nos travaux, ces erreurs sont supposées inconnues mais bornées. En tenant compte de cette hypothèse, une méthode de résolution d’un problème d’estimation d’état est élaborée en se basant sur des calculs ensemblistes. Notre algorithme de filtrage ensembliste comporte deux étapes. La première, dite de prédiction, est basée sur l’utilisation d’un modèle de marche aléatoire avec des hypothèses minimales (vitesse de déplacement maximale) pour prédire la zone où se trouve la personne. La deuxième étape, dite de correction, consiste à utiliser la mesure pour affiner cette zone. Cette étape utilise une technique de propagation de contraintes relâchée, q-relaxed intersection, pour permettre une meilleure robustesse par rapport aux données aberrantes. Notre algorithme est capable de quantifier, par un intervalle, l’incertitude commise sur les positions de cibles en mouvement tout en détectant les défauts de capteurs