Reduced-quaternion inframonogenic functions on the ball
Resumen
A function from a domain in to the quaternions is said to be inframonogenic if
, where
. All inframonogenic functions are biharmonic. In the context of functions taking values in the reduced quaternions, we show that the inframonogenic homogeneous polynomials of degree form a subspace of dimension . We use the homogeneous polynomials to construct an explicit, computable orthogonal basis for the Hilbert space of square-integrable inframonogenic functions defined in the ball in .
Autores
- C. Álvarez-Peña
- J. Morais
- R. Michael Porter
Revista Math. Meth. Appl. Sci.
https://doi.org/10.1002/mma.9600