REAL

Fuglede’s conjecture holds for cyclic groups of order pqrs

Somlai, Gábor and Malikiosis, R.D. and Vizer, Máté and Kiss, Gergely (2022) Fuglede’s conjecture holds for cyclic groups of order pqrs. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS. ISSN 1069-5869 (In Press)

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Abstract

The tile-spectral direction of the discrete Fuglede-conjecture is well-known for cyclic groups of square-free order, initiated by Laba and Meyerowitz, but the spectral-tile direction is far from being well-understood. The product of at most three primes as the order of the cyclic group was studied intensely in the last couple of years. In this paper we study the case when the order of the cyclic group is the product of four different primes and prove that Fuglede’s conjecture holds in this case.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika > QA72 Algebra / algebra
Q Science / természettudomány > QA Mathematics / matematika > QA74 Analysis / analízis
Depositing User: Gábor Somlai
Date Deposited: 26 Sep 2022 12:11
Last Modified: 03 Apr 2023 08:02
URI: http://real.mtak.hu/id/eprint/149878

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