On the Universal Tiling Conjecture in Dimension One

Dorin Dutkay; Palle Jorgensen

doi:10.1007/s00041-013-9264-7

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On the Universal Tiling Conjecture in Dimension One

Journal article

Peer reviewed

On the Universal Tiling Conjecture in Dimension One

Dorin Dutkay and Palle Jorgensen

Journal of Fourier Analysis and Applications, Vol.19(3), pp.467-477

06/2013

DOI: 10.1007/s00041-013-9264-7

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https://stars.library.ucf.edu/facultybib2010/3926View

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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.

05B45

Signal, Image and Speech Processing

Fuglede conjecture

Mathematics

Spectrum

Abstract Harmonic Analysis

Mathematical Methods in Physics

Fourier Analysis

Spectral pairs

42A32

Approximations and Expansions

Tiling

Partial Differential Equations

Details

Title: Subtitle: On the Universal Tiling Conjecture in Dimension One
Creators: Dorin Dutkay - Department of Mathematics University of Central Florida 4000 Central Florida Blvd. P.O. Box 161364 Orlando FL 32816-1364 USA
Palle Jorgensen - Department of Mathematics University of Iowa 14 MacLean Hall Iowa City IA 52242-1419 USA
Resource Type: Journal article
Publication Details: Journal of Fourier Analysis and Applications, Vol.19(3), pp.467-477
DOI: 10.1007/s00041-013-9264-7
ISSN: 1069-5869
eISSN: 1531-5851
Publisher: SP Birkhäuser Verlag Boston; Boston
Language: English
Date published: 06/2013
Academic Unit: Mathematics
Record Identifier: 9983985995802771

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