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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