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

• Main Authors: Kwon, Young Koan, Sario, L., Walsh, B.
• 格式: text
• 語言: English
• 出版: Institutional Knowledge at Singapore Management University 1971
• 主題: Accounting; Applied Mathematics
• 在線閱讀: https://ink.library.smu.edu.sg/soa_research/662; http://eudml.org/doc/74049

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...