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On A Uniqueness Condition For Cr Functions On Hypersurfaces
2018 (English)In: Bulletin of Mathematical Analysis and Applications, ISSN 1821-1291, E-ISSN 1821-1291, Vol. 10, no 1, p. 68-79Article in journal (Refereed) Published
Abstract [en]

Let f be a smooth CR function on a smooth hypersurface M subset of C-n, such that f vanishes to infinite order along a C-infinity-smooth curve gamma subset of M. Assume that for each q is an element of gamma there exists a truncated double cone C at q in M, such that at least one of the following three conditions holds true: (a) There is a constant theta is an element of R, such that C subset of {|Re(e(i theta)f)| <= |Im(e(i theta)f)|}. (b) C subset of {Ref >= 0}. (c) |f(z)|(|z-q|) -> 0, z -> q, z subset of C. Then f vanishes on an M-open neighborhood of gamma.

Place, publisher, year, edition, pages
2018. Vol. 10, no 1, p. 68-79
Keyword [en]
Unique continuation, CR manifold, CR functions
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-33738ISI: 000432520000006OAI: oai:DiVA.org:miun-33738DiVA, id: diva2:1215898
Available from: 2018-06-10 Created: 2018-06-10 Last updated: 2018-06-10Bibliographically approved

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Daghighi, Abtin

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