Behavior of Biharmonic Functions on Wiener's and Royden's Compactifications

Author

Young Koan Kwon, Singapore Management UniversityFollow
L. Sario
B. Walsh

Publication Type

Journal Article

Publication Date

1971

Abstract

Let R be a smooth Riemannian manifold of finite volume, Δ its Laplace (-Beltrami) operator. Canonical direct-sum decompositions of certain subspaces of the Wiener and Royden algebras of R are found, and for biharmonic functions (those for which ΔΔu=0) the decompositions are related to the values of the functions and their Laplacians on appropriate ideal boundaries.

Discipline

Accounting | Applied Mathematics

Publication

Annales de L'Institut Fourier

Volume

21

Issue

3

First Page

217

Last Page

226

ISSN

0373-0956

Identifier

10.5802/aif.387

Publisher

Université de Grenoble

Citation

Kwon, Young Koan; Sario, L.; and Walsh, B.. Behavior of Biharmonic Functions on Wiener's and Royden's Compactifications. (1971). Annales de L'Institut Fourier. 21, (3), 217-226.
Available at: https://ink.library.smu.edu.sg/soa_research/662

Additional URL

https://doi.org/10.5802/aif.387