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THE SPECTRAL SET CONJECTURE AND MULTIPLICATIVE PROPERTIES OF ROOTS OF POLYNOMIALS

Published online by Cambridge University Press:  24 March 2003

I. ŁABA
I. ŁABA
Affiliation:
Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Z2, [email protected]
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Abstract

Fuglede's conjecture states that a set $\Omega\subset{\mathbf R}^n$ tiles ${\mathbf R}$ by translations if and only if $L^2(\Omega)$ has an orthogonal basis of exponentials. New partial results are obtained supporting the conjecture in dimension 1.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 65 , Issue 3 , June 2002 , pp. 661 - 671
Copyright
The London Mathematical Society, 2002

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