Theory of Integral Operators in Parametric Clifford Type Algebras

Abstract:

We develop a theory of integral operators in the Clifford type associative algebra depending on parameters, generated by the structure relations: eiej+ejei=-2Bij,for i, j= 1 , 2 , … , n, where the B<inf>ij</inf> are the entries of a symmetric and positive definite matrix B∈ Rⁿ ^× ⁿ. As applications we consider some Dirichlet boundary problems for the Dirac operator D in this algebra and the elliptic operator Δ ~ <inf>n</inf>= div(B∇).

Año de publicación:

2020

Keywords:

• Clifford algebras
• Integral operators
• Dirichlet boundary value problems

Fuente:

scopus