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Integral representation for exponentially bounded negative–definite functions on hypergroups
Author(s) -
Nasr–Isfahani R.
Publication year - 2003
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.200310071
Subject(s) - mathematics , bounded function , commutative property , exponential growth , pure mathematics , countable set , representation (politics) , mathematical analysis , politics , political science , law
The author has recently shown that a Bochner type theorem obtained by Bloom and Ressel for exponentially bounded positive–definite functions on second countable commutative hypergroups is valid for all commutative hypergroups X . Here an application of this result is made to give an integral representation for exponentially bounded negative–definite functions on X .