Almansi decompositions for polyharmonic, polyheat, and polywave functions
Volume 172 / 2006
Studia Mathematica 172 (2006), 91-100
MSC: Primary 31A30; Secondary 35C10.
DOI: 10.4064/sm172-1-5
Abstract
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.