A+ CATEGORY SCIENTIFIC UNIT

Almansi decompositions for polyharmonic, polyheat, and polywave functions

Volume 172 / 2006

Guangbin Ren, Uwe Kähler 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.

Authors

  • Guangbin RenDepartment of Mathematics
    University of Science and Technology of China
    Hefei, Anhui 230026, P.R. China
    e-mail
  • Uwe KählerDepartamento de Matemática
    Universidade de Aveiro
    P-3810-159 Aveiro, Portugal
    e-mail

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