In this paper we study weighted versions of Fourier algebras compact quantum groups. We focus on the spectral aspects these Banach in two different ways. first investigate their Gelfand spectrum, which shows a connection to maximal classical closed subgroup and its complexification. Secondly, specific finite dimensional representations coming from complexification underlying group. demonstrate ...

Substantiation of the averaging method for differential equations with maxima is presented. Two theorems on substantiates for differential equations with maxima are established.

The computational cost of conventional lter methods for junction characterization is very high. This burden can be attenuated by using steerable lters. However, in order to achieve a high orientational selectivity to characterize complex junctions a large number of basis lters is necessary. From this results a yet too high computational eeort for steerable lters. In this paper we present a new ...

in this paper the substantiation of the method of full averaging for fuzzy differential inclusions is considered. these results generalize the results of [17, 20] for differential inclusions with hukuhara derivative and of [18] for fuzzy differential equations.

Three cruises with shipboard Acoustic Doppler Current Profiler (ADCP) were performed along a transect across the Peng-hu Channel (PHC) in the Taiwan Strait during 2003 2004 in order to investigate the feasibility and accuracy of the phase-averaging method to eliminate tidal components from shipboard ADCP measurement of currents. In each cruise measurement was repeated a number of times along th...

The automatic generation of dynamic or complex audio signals has a wide range of applications, from sound effects design to virtual instrument implementation. Techniques for the creation of content in these domains typically involve searching though large input spaces in order to find combinations that produce interesting results. These input spaces can be viewed as all the possible input signa...

We introduce a new method to prove averaging lemmas, i.e. prove a regularizing effect on the average in velocity of a solution to a kinetic equation. The method does not require the use of Fourier transform and the whole procedure is performed in the ’real space’. We are consequently able to improve the known result when the integrability of the solution (or the right hand side of the equation)...