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Journal of the London Mathematical Society 2002 65(3):661-671; doi:10.1112/S0024610702003149
© 2002 by London Mathematical Society
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© The London Mathematical Society

The Spectral Set Conjecture and Multiplicative Properties of Roots of Polynomials

I. Laba

Department of Mathematics, University of British Columbia Vancouver, BC V6T 1Z2, Canada, ilaba{at}math.ubc.ca

Received 1 March 2001. Revision received 11 September 2001.

Fuglede's conjecture states that a set {Omega}subRn tiles R by translations if and only if L2({Omega}) has an orthogonal basis of exponentials. New partial results are obtained supporting the conjecture in dimension 1.


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