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An Uncertainty Principle for Commutative Hypergroups and Gelfand Pairs
Author(s) -
Voit Michael
Publication year - 1993
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.19931640113
Subject(s) - mathematics , commutative property , context (archaeology) , pure mathematics , inequality , algebra over a field , mathematical analysis , paleontology , biology
We extend sharp forms of the classical uncertainty principle to the context of commutative hypergroups. This hypergroup setting includes Gelfand pairs, Riemannian symmetric spaces, and locally compact abelain groups. For some Gelfand pairs our inequalities will be sharper than those in a recent paper by J. A. WOLF.