Record link: 
http://hdl.handle.net/20.500.12708/231344
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Title: 
Busemann-Petty Type Problems on Complex Vector Spaces
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Citation: 
Ellmeyer, S., & Hofstätter, G. C. (2026). Busemann-Petty Type Problems on Complex Vector Spaces. Indiana University Mathematics Journal, 75(2), 525–551. https://doi.org/10.1512/iumj.2026.75.60729
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Publisher DOI: 
10.1512/iumj.2026.75.60729
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Publication Type: 
Article - Original Research Article
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Language: 
English
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Authors: 
Ellmeyer, Simon 
Hofstätter, Georg C. 
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Organisational Unit: 
E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie 
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Journal: 
Indiana University Mathematics Journal 
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ISSN: 
0022-2518
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Date (published): 
2026
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Number of Pages: 
27
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Publisher: 
INDIANA UNIV MATH JOURNAL
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Peer reviewed: 
Yes
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Keywords: 
Busemann-Petty problems; complex vector spaces; intersection bodies; projection bodies; pseudoconvex sets
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Abstract: 
Busemann-Petty type problems for the recently introduced complex projection, centroid, and L<inf>p</inf>-intersection body operators are examined. Moreover, it is shown that, as their real counterparts, they can be linked to questions about the Fourier transform restricted to the sphere.
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Research Areas: 
Fundamental Mathematics Research: 100%
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Science Branch: 
1010 - Mathematik: 100%
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