On the Universal Tiling Conjecture in Dimension One

    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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