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

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...

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Bibliographic Details
Main Authors: Kwon, Young Koan, Sario, L., Walsh, B.
Format: text
Language:English
Published: Institutional Knowledge at Singapore Management University 1971
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Online Access:https://ink.library.smu.edu.sg/soa_research/662
http://eudml.org/doc/74049
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Institution: Singapore Management University
Language: English