الفهرس 
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Abstract
The theory of bases in function spaces and the theory of matrix are a fundamental
area of mathematics. Their applications not only to many branches of
mathematics but also to science and engineering. For examples in approximation
theory, algebraic structures, statistics, combinatorics and mathematical
physics.
This thesis is entirely devoted to the study of bases in spaces of monogenic
functions and some topics in complex matrix functions. It is divided into two
parts, namely
Part I: On Some Bases of Polynomials in Cli ord Analysis.
Part II: On Some Topics in Complex Matrix Analysis.
Each of those parts is in its turn subdivided into three chapters.
In Part I, as Cli ord analysis generalizes the theory of holomorphic functions
of one complex variable taking advantage of Cli ord algebras, classical
objects of analysis are clearly of intrest to perform an analogous study in the
framework of Cli ord analysis. In the 90-ties, in a series of papers [1, 2, 3, 6],
Abul-Ez and Constales obtained important results concerning the asymptotic
growth of a particular subclass of monogenic functions, which are built as series
from a special family of monogenic polynomials involving only products
of a hypercomplex variable and its hypercomplex conjugate. This was done as
an extension of the theory of basic sets of polynomials in one complex variable,
as introduced by Whittaker and Cannon and was resumed later