Geodesic
On representations of real analytic functions by monogenic functions
Czechoslovak Mathematical Journal, Tome 69 (2019) no. 4, pp. 997-1013 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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}.
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}.
DOI : 10.21136/CMJ.2019.0573-17
Classification : 30G35, 35C10, 35J05
Keywords: monogenic function; inhomogeneous Dirac equation; inhomogeneous poly-Dirac equation; Almansi's formula of infinite order; Clifford analysis 
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     author = {Yuan, Hongfen},
     title = {On representations of real analytic functions by monogenic functions},
     journal = {Czechoslovak Mathematical Journal},
     pages = {997--1013},
     year = {2019},
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     number = {4},
     doi = {10.21136/CMJ.2019.0573-17},
     mrnumber = {4039615},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2019.0573-17/}
}
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Yuan, Hongfen. On representations of real analytic functions by monogenic functions. Czechoslovak Mathematical Journal, Tome 69 (2019) no. 4, pp. 997-1013. doi: 10.21136/CMJ.2019.0573-17

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