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Keywords:
monogenic function; inhomogeneous Dirac equation; inhomogeneous poly-Dirac equation; Almansi's formula of infinite order; Clifford analysis
monogenic function; inhomogeneous Dirac equation; inhomogeneous poly-Dirac equation; Almansi's formula of infinite order; Clifford analysis
Summary:
Using the method of normalized systems of functions, we study one representation of real analytic functions by monogenic functions (i.e., solutions of Dirac equations), which is an Almansi's formula of infinite order. As applications of the representation, we construct solutions of the inhomogeneous Dirac and poly-Dirac equations in Clifford \hbox {analysis}.
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