Glasnik Matematicki, Vol. 36, No.1 (2001), 33-38.
A QUALITATIVE UNCERTAINTY PRINCIPLE FOR
CERTAIN HYPERGROUPS
Ajay Kumar
Department of Mathematics, Rajdhani College, University of
Delhi, Raja Garden, New Delhi 110015, India
e-mail: ajaykr@bol.net.in
Abstract. It is known that if the supports of a
function f ∈
L1(Rn)
and its Fourier transform have
finite measure then f = 0 almost everywhere. We study
generalizations of this property for certain classes of
locally compact hypergroups.
1991 Mathematics Subject Classification.
43A62, 22E25.
Key words and phrases. Hypergroups, Fourier transform,
uncertainty principle, central hypergroups.
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