Lower-dimensional decompositions using complex variables

Wolfgang Tutschke

Archivum Mathematicum (1998)

  • Volume: 034, Issue: 3, page 329-336
  • ISSN: 0044-8753

Abstract

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The purpose of the present paper is to represent non-holomorphic functions depending on one or several complex variables by holomorphic and anti-holomorphic functions depending on only one complex variable. Similarly as in the case of functions of real variables, the obtained criteria can also be interpreted as conditions for the solvability of functional equations.

How to cite

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Tutschke, Wolfgang. "Lower-dimensional decompositions using complex variables." Archivum Mathematicum 034.3 (1998): 329-336. <http://eudml.org/doc/248210>.

@article{Tutschke1998,
abstract = {The purpose of the present paper is to represent non-holomorphic functions depending on one or several complex variables by holomorphic and anti-holomorphic functions depending on only one complex variable. Similarly as in the case of functions of real variables, the obtained criteria can also be interpreted as conditions for the solvability of functional equations.},
author = {Tutschke, Wolfgang},
journal = {Archivum Mathematicum},
keywords = {holomorphic solution of functional equations; poly-analytic functions; ordinary differential equations in the complex domain; holomorphic solution of functional equations; poly-analytic functions; ordinary differential equations in the complex domain; lower-dimensional decompositions},
language = {eng},
number = {3},
pages = {329-336},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Lower-dimensional decompositions using complex variables},
url = {http://eudml.org/doc/248210},
volume = {034},
year = {1998},
}

TY - JOUR
AU - Tutschke, Wolfgang
TI - Lower-dimensional decompositions using complex variables
JO - Archivum Mathematicum
PY - 1998
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 034
IS - 3
SP - 329
EP - 336
AB - The purpose of the present paper is to represent non-holomorphic functions depending on one or several complex variables by holomorphic and anti-holomorphic functions depending on only one complex variable. Similarly as in the case of functions of real variables, the obtained criteria can also be interpreted as conditions for the solvability of functional equations.
LA - eng
KW - holomorphic solution of functional equations; poly-analytic functions; ordinary differential equations in the complex domain; holomorphic solution of functional equations; poly-analytic functions; ordinary differential equations in the complex domain; lower-dimensional decompositions
UR - http://eudml.org/doc/248210
ER -

References

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