@article{Grushka_2022, title={On some properties of Hassani transforms}, volume={57}, url={http://matstud.org.ua/ojs/index.php/matstud/article/view/208}, DOI={10.30970/ms.57.1.79-91}, abstractNote={<p>In the present paper, based on the ideas of Algerian physicist M.E. Hassani, the generalized<br>Hassani spatial-temporal transformations in real Hilbert space are introduced. The original<br>transformations, introduced by M.E. Hassani, are the particular cases of the transformations,<br>introduced in this paper. It is proven that the classes of generalized Hassani transforms do<br>not form a group of operators in the general case. Further, using these generalized Hassani<br>transformations as well as the theory of changeable sets and universal kinematics, the mathematically<br>strict models of Hassani kinematics are constructed and the performance of the relativity<br>principle in these models is discussed.</p>}, number={1}, journal={Matematychni Studii}, author={Grushka, Ya. I.}, year={2022}, month={Mar.}, pages={79-91} }