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Analytic continuation of the exponential transform from convex cavities
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0002-3125-3030
2007 (English)In: Journal of Mathematical Analysis and Applications, ISSN 0022-247X, E-ISSN 1096-0813, Vol. 328, no 2, 995-1006 p.Article in journal (Refereed) Published
Abstract [en]

The analytic continuation of the exponential transform of a domain in R-n is proved under some global geometric assumptions on the boundary. Two approximation schemes of the continued transform (one based on a Taylor series truncation, the other on a global eigenfunction expansion) are also discussed.

Place, publisher, year, edition, pages
2007. Vol. 328, no 2, 995-1006 p.
Keyword [en]
exponential transform, analytic continuation, Riesz potential, strictly convex domain, domains
Identifiers
URN: urn:nbn:se:kth:diva-16353DOI: 10.1016/j.jmaa.2006.06.022ISI: 000243850700017Scopus ID: 2-s2.0-33845874378OAI: oai:DiVA.org:kth-16353DiVA: diva2:334395
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved

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Gustafsson, Björn

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