The scope of the paper is a method of modelling vibrating mechanical systems with discrete-continuous distribution of parameters and couplings by means of hybrid graphs. The method is focused on broadening hybrid graphs formalism by mechanical systems and improving their description and design methods so that the mathematical formalism can reflect the essence of the problem involved in the desi...

Let  $varpi$ be a representation of the homogeneous space $G/H$, where $G$ be a locally compact group and  $H$ be a compact subgroup of $G$. For  an admissible wavelet $zeta$ for $varpi$  and $psi in L^p(G/H), 1leq p <infty$, we determine a class of bounded  compact operators  which are related to continuous wavelet transforms on homogeneous spaces and they are called localization operators.

In the present paper, we shall attempt to make a contribution to approximate analytical evaluation of the harmonic decomposition of an arbitrary continuous function. The basic assumption is that the class of functions that we investigate here, except the verification of Dirichlet's principles, is concurrently able to be expanded in Taylor's representation, over a particular interval of their do...

Depth map super-resolution (DSR) has been a fundamental task for 3D computer vision. While arbitrary scale DSR is more realistic setting in this scenario, previous approaches predominantly suffer from the issue of inefficient real-numbered upsampling. To explicitly address issue, we propose novel continuous depth representation DSR. The heart our proposed Geometric Spatial Aggregator (GSA), whi...