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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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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spelling 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
institution Singapore Management University
building SMU Libraries
continent Asia
country Singapore
Singapore
content_provider SMU Libraries
collection InK@SMU
language English
topic Accounting
Applied Mathematics
spellingShingle Accounting
Applied Mathematics
Kwon, Young Koan
Sario, L.
Walsh, B.
Behavior of Biharmonic Functions on Wiener's and Royden's Compactifications
description 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.
format text
author Kwon, Young Koan
Sario, L.
Walsh, B.
author_facet Kwon, Young Koan
Sario, L.
Walsh, B.
author_sort 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
publisher Institutional Knowledge at Singapore Management University
publishDate 1971
url https://ink.library.smu.edu.sg/soa_research/662
http://eudml.org/doc/74049
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