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Functions of bounded variation and polarization

✍ Scribed by Angela Alberico; Adele Ferone; Roberta Volpicelli


Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
146 KB
Volume
282
Category
Article
ISSN
0025-584X

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✦ Synopsis


Abstract

It is known that, if u is a real valued function on ℝ^N^ of bounded variation, then its total variation decreases under polarization. In this paper we identify the difference between the total variation of u and that one of its polar u~Ξ ~ (Β© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)


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