Mohamed Ben Ammar
I aim to generalize Bessel equations within the framework of spinor geometry. Historically, when Dirac and Laplace embarked on their exploration of mathematical physics, they primarily dealt with differential equations. The Dirac operator played a pivotal role, necessitating the development of solutions to Bessel equations through the method of separation of variables and technical calculations in Clifford algebra. The resultant solutions are spinor and Clifford fields, with components reliant on ordinary Bessel functions. This work extends these equations in the context of distributions, yielding spinor and Clifford Bessel distributions with compact support. The methodology employed includes the separation of variables and advanced calculations within Clifford algebra.