On representations of real analytic functions by monogenic functions

Hongfen Yuan

Czechoslovak Mathematical Journal (2019)

  • Volume: 69, Issue: 4, page 997-1013
  • ISSN: 0011-4642

Abstract

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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 analysis.

How to cite

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Yuan, Hongfen. "On representations of real analytic functions by monogenic functions." Czechoslovak Mathematical Journal 69.4 (2019): 997-1013. <http://eudml.org/doc/294807>.

@article{Yuan2019,
abstract = {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 analysis.},
author = {Yuan, Hongfen},
journal = {Czechoslovak Mathematical Journal},
keywords = {monogenic function; inhomogeneous Dirac equation; inhomogeneous poly-Dirac equation; Almansi's formula of infinite order; Clifford analysis},
language = {eng},
number = {4},
pages = {997-1013},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On representations of real analytic functions by monogenic functions},
url = {http://eudml.org/doc/294807},
volume = {69},
year = {2019},
}

TY - JOUR
AU - Yuan, Hongfen
TI - On representations of real analytic functions by monogenic functions
JO - Czechoslovak Mathematical Journal
PY - 2019
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 69
IS - 4
SP - 997
EP - 1013
AB - 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 analysis.
LA - eng
KW - monogenic function; inhomogeneous Dirac equation; inhomogeneous poly-Dirac equation; Almansi's formula of infinite order; Clifford analysis
UR - http://eudml.org/doc/294807
ER -

References

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