Generalized Monogenic Functions Satisfying Differential Equations with Anti-Monogenic Right-Hand Sides
A generalized monogenic function is a Clifford-algebra-valued solution u = u(x) of an equation of type Du = F(x,u) where D is the Cauchy-Riemann operator in ℝ n+1 and F(x,u) is linear in the components of u. The paper proves a sufficient condition under which the right-hand side is antimonogenic. This criterion makes it possible to construct anti-monogenic righthand sides.
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- Goldschmidt, B.: Verallgemeinerte analytische Vektoren im ℝ n. Thesis (Dissertation B), Martin Luther University, Halle, 1980.Google Scholar
- Tutschke, W., Yüksel, U.: Interior L p-estimates for functions with integral representations, (submitted to Applicable Analysis).Google Scholar