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https://hdl.handle.net/2440/84447
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DC Field | Value | Language |
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dc.contributor.author | Larusson, F. | - |
dc.contributor.author | Poletsky, E. | - |
dc.date.issued | 2013 | - |
dc.identifier.citation | Michigan Mathematical Journal, 2013; 62(3):551-565 | - |
dc.identifier.issn | 0026-2285 | - |
dc.identifier.issn | 1945-2365 | - |
dc.identifier.uri | http://hdl.handle.net/2440/84447 | - |
dc.description.abstract | We prove a disc formula for the largest plurisubharmonic subextension of an upper semicontinuous function on a domain $W$ in a Stein manifold to a larger domain $X$ under suitable conditions on $W$ and $X$. We introduce a related equivalence relation on the space of analytic discs in $X$ with boundary in $W$. The quotient, if it is Hausdorff, is a complex manifold with a local biholomorphism to $X$. We use our disc formula to generalise Kiselman's minimum principle. We show that his infimum function is an example of a plurisubharmonic subextension. | - |
dc.description.statementofresponsibility | Finnur Lárusson & Evgeny A. Poletsky | - |
dc.language.iso | en | - |
dc.publisher | University of Michigan, Department of Mathematics | - |
dc.rights | Copyright status unknown | - |
dc.source.uri | http://dx.doi.org/10.1307/mmj/1378757888 | - |
dc.title | Plurisubharmonic subextensions as envelopes of disc functionals | - |
dc.type | Journal article | - |
dc.identifier.doi | 10.1307/mmj/1378757888 | - |
dc.relation.grant | http://purl.org/au-research/grants/arc/DP120104110 | - |
pubs.publication-status | Published | - |
dc.identifier.orcid | Larusson, F. [0000-0001-5691-4942] | - |
Appears in Collections: | Aurora harvest 2 Mathematical Sciences publications |
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