Thesis
Sobre una clase de operadores de Hilbert en Análisis Cuaterniónico
Autor
Aguirre Tepole, José de Jesús
Institución
Resumen
The main purpose of this paper is to get a similar relation to Hilbert's formula
on the real line, for the case of -hiperholomor c functions H valued.
It takes as guideline a generalization of Hilbert's formula on the real line for
the case of -hiperholomor c functions with values in H(C). Also studied
how it was obtained the formula and in addition analyzed how the hypotheses,
conditions and restrictions were modi ed when consider functions with
values on H, achieved to obtain explicit Hilbert's formula. In a similar way
with the case of H(C) and the complex case, the new formula showed the relation
between the components of the limit function of an -hiperholomor c
function in our case of study.