Title

On the Universal Tiling Conjecture in Dimension One

Authors

Authors

D. E. Dutkay;P. E. T. Jorgensen

Comments

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Abbreviated Journal Title

J. Fourier Anal. Appl.

Keywords

Fuglede conjecture; Spectrum; Tiling; Spectral pairs; Fourier analysis; SPECTRAL SET CONJECTURE; FUGLEDES CONJECTURE; Mathematics, Applied

Abstract

We show that the spectral-tile implication in the Fuglede conjecture in dimension 1 is equivalent to a Universal Tiling Conjecture and also to similar forms of the same implication for some simpler sets, such as unions of intervals with rational or integer endpoints.

Journal Title

Journal of Fourier Analysis and Applications

Volume

19

Issue/Number

3

Publication Date

1-1-2013

Document Type

Article

Language

English

First Page

467

Last Page

477

WOS Identifier

WOS:000318627900004

ISSN

1069-5869

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