Year: 2014
Type: conference-abstract
Abstract: In this paper, we consider the Poincare group (space time). In mathematics, the Poincaré group of spacetime, named after Henri Poincaré, is the group of isometries of Minkowski spacetime, introduced by Hermann Minkowski. It is a non-abelian Lie group with ten generators. Spacetime, in physical science, single concept that recognizes the union of space and time, posited by Albert Einstein in the theories of relativity. One of the interesting problems for Mathematicians and Physicists is. Can we do the Fourier analysis on space time. The purpose of this paper is to define the Fourier transform the Poincaré group, and then we establish the Plancherel theorem for spacetime
Source: arXiv (Cornell University)
Author: El-Hussein, Kahar
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2300849775