<abstract xmlns="http://www.w3.org/1999/xhtml"><p> For real polynomials in two indeterminates a classical polynomial harmonic decomposition (cf. (1) below) is extended from square-norm divisors to conic ones. The main result is then applied to obtain a full polynomial harmonic decomposition, and to solve a Dirichlet problem with polynomial boundary data.</p></abstract>

For real polynomials in two indeterminates a classical polynomial harmonic decomposition (cf. (1) below) is extended from square-norm divisors to conic ones. The main result is then applied to obtain a full polynomial harmonic decomposition, and to solve a Dirichlet problem with polynomial boundary data.

Polynomial Harmonic Decompositions

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Polynomial Harmonic Decompositions"}

For real polynomials in two indeterminates a classical polynomial harmonic decomposition (cf. (1) below) is extended from square-norm divisors to conic ones....

Polynomial Harmonic Decompositions

Published Online: Sep 21, 2017

Page range: 25 - 32

DOI: https://doi.org/10.1515/auom-2017-0002

Keywords
Real polynomial, Harmonic function, Harmonic decomposition, Dirichlet problem

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Polynomial Harmonic Decompositions

Published Online: Sep 21, 2017

Page range: 25 - 32

DOI: https://doi.org/10.1515/auom-2017-0002

KeywordsReal polynomial, Harmonic function, Harmonic decomposition, Dirichlet problem

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Real polynomial, Harmonic function, Harmonic decomposition, Dirichlet problem