Motivic measure on the space of functions was introduced by Campillo, Delgado, and Gusein-Zade as an analog of the motivic measure on the space of arcs. In this paper we prove that the measure on the space of functions can be related to the motivic measure on the space of arcs by a factor, which can be defined explicitly in geometric terms. This provides a possibility to rewrite motivic integra...

In this paper, we use the generalized differentiability concept tostudy the fuzzy transport equation. We consider transport equationin the homogeneous and non-homogeneous cases with fuzzy initialcondition. We also present the solution when speed parameter is a fuzzynumber. Our method is based on the construction of the solutionsby employing Zadeh's extension principle.

We study the construction of nonuniform tight wavelet frames for Lebesgue space $L^2(\mathbb{R})$, where related translation set is not necessary a group. The main purpose this paper to prove unitary extension principle (UEP) and oblique (OEP) multi-generated $L^2(\mathbb{R})$. Some examples are also given illustrate results.