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The Spectral Set Conjecture and Multiplicative Properties of Roots of Polynomials
Author(s) -
Łaba I.
Publication year - 2002
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610702003149
Subject(s) - conjecture , mathematics , multiplicative function , dimension (graph theory) , combinatorics , set (abstract data type) , exponential function , basis (linear algebra) , pure mathematics , discrete mathematics , mathematical analysis , computer science , geometry , programming language
Fuglede's conjecture states that a set Ω⊂R n tiles R by translations if and only if L 2 (Ω) has an orthogonal basis of exponentials. New partial results are obtained supporting the conjecture in dimension 1.