Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Minimal volume of slabs in the complex cube


Authors: Hermann König and Alexander Koldobsky
Journal: Proc. Amer. Math. Soc. 140 (2012), 1709-1717
MSC (2010): Primary 46B20, 52A20, 52A40; Secondary 46B04, 52A21
Published electronically: September 6, 2011
MathSciNet review: 2869155
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We study the volume of sections and slabs in the $ n$-dimensional cube for complex scalars. In particular, we investigate the directions of minimal volume for a small width of the slab.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 46B20, 52A20, 52A40, 46B04, 52A21

Retrieve articles in all journals with MSC (2010): 46B20, 52A20, 52A40, 46B04, 52A21


Additional Information

Hermann König
Affiliation: Mathematisches Seminar, Universität zu Kiel, 24098 Kiel, Germany
Email: hkoenig@math.uni-kiel.de

Alexander Koldobsky
Affiliation: Department of Mathematics, University of Missouri, Columbia, Missouri 65211
Email: koldobsk@math.missouri.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-2011-11019-0
PII: S 0002-9939(2011)11019-0
Received by editor(s): August 26, 2010
Received by editor(s) in revised form: January 21, 2011
Published electronically: September 6, 2011
Additional Notes: The first author was partially supported by the American Institute of Mathematics
The second author was partially supported by NSF grant DMS-1001234 and the American Institute of Mathematics
Communicated by: Thomas Schlumprecht
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.