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A Riesz representation formula for super-biharmonic functions
2001 (English)In: Annales Academiae Scientiarum Fennicae Mathematica, ISSN 1239-629X, Vol. 26, no 2, 305-324 p.Article in journal (Refereed) Published
Abstract [en]

Let u be a real-valued function defined on the unit disk D. We call u super-biharmonic provided that u is locally integrable and the bi-laplacian Delta (2)u is a positive distribution on D. In this paper, we shall establish a representation formula for super-biharmonic functions, This formula can be regarded as an analogue of the Poisson-Jensen representation formula for subharmonic functions.

Place, publisher, year, edition, pages
2001. Vol. 26, no 2, 305-324 p.
URN: urn:nbn:se:kth:diva-20923ISI: 000170821800002OAI: diva2:339620
QC 20100525Available from: 2010-08-10 Created: 2010-08-10Bibliographically approved

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Hedenmalm, Håkan
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