Topics on Kronecker sets

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Characterizations of groups generated by Kronecker sets

In recent years, starting with the paper [B-D-S], we have investigated the possibility of characterizing countable subgroups of the torus T = R/Z by subsets of Z. Here we consider new types of subgroups: let K ⊆ T be a Kronecker set (a compact set on which every continuous function f : K → T can be uniformly approximated by characters of T ), and G the group generated by K. We prove (Theorem 1)...

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Characterizations of groups generated by Kronecker sets par

In recent years, starting with the paper [B-D-S], we have investigated the possibility of characterizing countable subgroups of the torus T = R/Z by subsets of Z. Here we consider new types of subgroups: let K ⊆ T be a Kronecker set (a compact set on which every continuous function f : K → T can be uniformly approximated by characters of T ), and G the group generated by K. We prove (Theorem 1)...

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Smallest independent dominating sets in Kronecker products of cycles

Let k¿2; n=2+1; and let m0; : : : ; mk−1 each be a multiple of n. The graph Cm0×· · ·×Cmk−1 consists of isomorphic connected components, each of which is (n − 1)-regular and admits of a vertex partition into n smallest independent dominating sets. Accordingly, (independent) domination number of each connected component of this graph is equal to (1=n)th of the number of vertices in it. ? 2001 El...

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On rectangular Kronecker coefficients

We show that rectangular Kronecker coefficients stabilize when the lengths of the sides of the rectangle grow, and we give an explicit formula for the limit values in terms of invariants of sln.

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Ela on Kronecker Quotients

Leopardi introduced the notion of a Kronecker quotient in [Paul Leopardi. A generalized FFT for Clifford algebras. Bulletin of the Belgian Mathematical Society, 11:663–688, 2005.]. This article considers the basic properties that a Kronecker quotient should satisfy and additional properties which may be satisfied. A class of Kronecker quotients for which these properties have a natural descript...

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ژورنال

عنوان ژورنال: Annales de l’institut Fourier

سال: 1973

ISSN: 0373-0956

DOI: 10.5802/aif.482