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Functions of bounded variation and polarization
Author(s) -
Alberico Angela,
Ferone Adele,
Volpicelli Roberta
Publication year - 2009
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200710782
Subject(s) - bounded variation , variation (astronomy) , mathematics , bounded function , polarization (electrochemistry) , mathematical analysis , chemistry , physics , astrophysics
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 Π (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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