Bridge Dynamic Displacement Monitoring Using Geodetic Measurement

The paper analyzes the possibility to define a dynamic model associated to a bridge using the results of geodetic measurements made for displacement monitoring using modern calculation models. Combining the results obtained with two modern calculation models (Finite Element Method and Kalman Filter) we can define a complex model, able of meeting current risk management requirements. The paper aims to highlight the importance and usefulness of realizing the dynamic model of a bridge in order to test hypotheses regarding limit situations such as: testing the structure response in case of a flood or in the event of a major earthquake, determining the maximum admissible weight on the bridge without requiring interventions, determining the areas where the bridge requires consolidation work after a certain period of time or after natural phenomena etc.

INJECTION MIXTURE OF SOLID, LOOSE MATERIALS

The injection pumps are used for stirring (mixing) of solid loose materials in gas and liquid media. An antilock brake device – spreader is used to unload the suction zone of the injector. The technological parameters of the process are defined: the limiting diameter of the arch of forming holes, the parameters of spreader, the speed of waving and entrainment, the criterion for estimating the homogeneity, the inhomogeneity coefficient, the coefficient of variation, the minimum admissible weight of sample.

Generalized Composition Operators on Weighted Hilbert Spaces of Analytic Functions

Letφbe an analytic self-map of the open unit disk D andgbe an analytic function on D. The generalized composition operator induced by the mapsgandφis defined by the integral operatorI(g,φ)f(z) =∫0zf′(φ(ς))g(ς)dς. Given an admissible weightω, the weighted Hilbert spaceHωconsists of all analytic functionsfsuch that ∥f∥2Hω= |f(0)|2+∫D|f′(z)|2ω(z)dA(z) is finite. In this paper, we characterize the boundedness and compactness of the generalized composition operators on the spaceHωusing theω-Carleson measures. Moreover, we give a lower bound for the essential norm of these operators.

A SEMI-ADELIC KUZNETSOV FORMULA OVER NUMBER FIELDS

In this paper, we prove a semi-adelic version of the Kuznetsov formula over number fields. This formula matches a weighted sum made of Fourier coefficients of cusp forms and Eisenstein series with a weighted sum of Kloosterman sums, the latter weight function is a kind of Bessel transform of the former one. We obtain a variant which is valid over all number fields. The admissible weight functions are important in applications, they depend on the archimedean parameters of the representations and show exponential decay. The automorphic vectors are not necessarily spherical in the archimedean aspect. Such formulas are proven to be useful in analytic number theory, e.g., in the estimate of L-functions on the critical line.

On weights which admit the reproducing kernel of Bergman type

In this paper we consider (1) the weights of integration for which the reproducing kernel of the Bergman type can be defined, i.e., the admissible weights, and (2) the kernels defined by such weights. It is verified that the weighted Bergman kernel has the analogous properties as the classical one. We prove several sufficient conditions and necessary and sufficient conditions for a weight to be an admissible weight. We give also an example of a weight which is not of this class. As a positive example we consider the weightμ(z)=(Imz)2defined on the unit disk inℂ.