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Algebra i Analiz, 2017, Volume 29, Issue 1, Pages 222–236 (Mi aa1528)  

This article is cited in 3 scientific papers (total in 3 papers)

Research Papers

“Irrational” constructions in convex geometry

V. Milmana, L. Rotemb

a Tel Aviv University, PO Box 39040, Ramat-Aviv 69978, Israel
b University of Minnesota, 206 Church St. SE, Minneapolis, MN 55455, USA
Full-text PDF (212 kB) Citations (3)
References:
Abstract: Several ways to define various “irrational” functions of convex bodies, like the geometric mean or power functions, are discussed.
Keywords: convex body, Minkowski sum, support function, ellipsoid, polar body, polarity map.
Funding agency Grant number
Israel Science Foundation 826/13
United States - Israel Binational Science Foundation (BSF) 2012111
Research supported in part by ISF grant 826/13 and BSF grant 2012111.
Received: 03.10.2016
English version:
St. Petersburg Mathematical Journal, 2018, Volume 29, Issue 1, Pages 165–175
DOI: https://doi.org/10.1090/spmj/1487
Bibliographic databases:
Document Type: Article
Language: English
Citation: V. Milman, L. Rotem, ““Irrational” constructions in convex geometry”, Algebra i Analiz, 29:1 (2017), 222–236; St. Petersburg Math. J., 29:1 (2018), 165–175
Citation in format AMSBIB
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  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Алгебра и анализ St. Petersburg Mathematical Journal
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    Abstract page:356
    Full-text PDF :95
    References:55
    First page:26
     
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