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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sg-smu-ink.soa_research-16612015-01-31T14:51:56Z Behavior of Biharmonic Functions on Wiener's and Royden's Compactifications Kwon, Young Koan Sario, L. Walsh, B. 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. 1971-01-01T08:00:00Z text https://ink.library.smu.edu.sg/soa_research/662 info:doi/10.5802/aif.387 http://eudml.org/doc/74049 Research Collection School Of Accountancy eng Institutional Knowledge at Singapore Management University Accounting Applied Mathematics |
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Accounting Applied Mathematics Kwon, Young Koan Sario, L. Walsh, B. Behavior of Biharmonic Functions on Wiener's and Royden's Compactifications |
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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. |
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Kwon, Young Koan Sario, L. Walsh, B. |
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Kwon, Young Koan Sario, L. Walsh, B. |
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Kwon, Young Koan |
title |
Behavior of Biharmonic Functions on Wiener's and Royden's Compactifications |
title_short |
Behavior of Biharmonic Functions on Wiener's and Royden's Compactifications |
title_full |
Behavior of Biharmonic Functions on Wiener's and Royden's Compactifications |
title_fullStr |
Behavior of Biharmonic Functions on Wiener's and Royden's Compactifications |
title_full_unstemmed |
Behavior of Biharmonic Functions on Wiener's and Royden's Compactifications |
title_sort |
behavior of biharmonic functions on wiener's and royden's compactifications |
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Institutional Knowledge at Singapore Management University |
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1971 |
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https://ink.library.smu.edu.sg/soa_research/662 http://eudml.org/doc/74049 |
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1770568949628403712 |