1Department of Mathematics University of Science and Technology of China Hefei, Anhui 230026, P.R. China 2Departamento de Matemática Universidade de Aveiro P-3810-159 Aveiro, Portugal
Studia Mathematica, Tome 172 (2006) no. 1, pp. 91-100
We construct Almansi decompositions for a class of differential operators, which include powers of the classical Laplace operator, heat operator, and wave operator. The decomposition is given in a constructive way.
Keywords:
construct almansi decompositions class differential operators which include powers classical laplace operator heat operator wave operator decomposition given constructive
Affiliations des auteurs :
Guangbin Ren 
1
;
Uwe Kähler 
2
1
Department of Mathematics University of Science and Technology of China Hefei, Anhui 230026, P.R. China
2
Departamento de Matemática Universidade de Aveiro P-3810-159 Aveiro, Portugal
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author = {Guangbin Ren and Uwe K\"ahler},
title = {Almansi decompositions for polyharmonic, polyheat,
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Guangbin Ren; Uwe Kähler. Almansi decompositions for polyharmonic, polyheat,
and polywave functions. Studia Mathematica, Tome 172 (2006) no. 1, pp. 91-100. doi: 10.4064/sm172-1-5