Title

On The Universal Tiling Conjecture In Dimension One

Keywords

Fourier analysis; Fuglede conjecture; Spectral pairs; Spectrum; Tiling

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. © 2013 Springer Science+Business Media New York.

Publication Date

6-1-2013

Publication Title

Journal of Fourier Analysis and Applications

Volume

19

Issue

3

Number of Pages

467-477

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/s00041-013-9264-7

Socpus ID

84877039151 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84877039151

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