Persistently unbounded functions on locally compact Abelian groups
Sign Up to like & getrecommendations! Published in 2018 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201600444
Abstract: This paper deals, given an arbitrary locally compact Abelian group, with the existence of integrable functions all whose convolution powers are essentially unbounded. read more here.
Keywords: functions locally; locally compact; abelian groups; persistently unbounded ... See more keywords
A composite functional equation on groups
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DOI: 10.1007/s00010-016-0454-7
Abstract: We analyse the composite functional equation $$f(x+2f(y))=f(x)+y+f(y)$$f(x+2f(y))=f(x)+y+f(y) on certain groups. In particular we give a description of solutions on abelian 3-groups and finitely generated free abelian groups. This is motivated by a work of Pál… read more here.
Keywords: equation groups; functional equation; abelian groups; equation ... See more keywords
New results for the multiplicative symmetric equation and related conjecture
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DOI: 10.1007/s00010-019-00663-8
Abstract: The general solution of the multiplicative symmetric functional equation $$f(f(x)y)=f(xf(y))$$ f ( f ( x ) y ) = f ( x f ( y ) ) , in abelian groups, was given by Dhombres.… read more here.
Keywords: multiplicative symmetric; new results; abelian groups; general solution ... See more keywords
On the Bassian property for Abelian groups
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DOI: 10.1007/s00013-021-01655-4
Abstract: We define an object (group, ring, module, algebra, etc.) to be Bassian if it is not possible to embed it in a proper homomorphic image of itself. Here we study this concept for Abelian groups… read more here.
Keywords: abelian groups; property abelian; bassian property;
Universal Invariants for Classes of Abelian Groups
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DOI: 10.1007/s10469-017-9434-9
Abstract: We prove an analog of Szmielew’s theorem for universal equivalence of Abelian groups. read more here.
Keywords: universal invariants; classes abelian; abelian groups; invariants classes ... See more keywords
Comparing Finite Abelian Groups from the Standpoint of Their Cryptographic Applications
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DOI: 10.1007/s10958-017-3362-z
Abstract: This work presents the results of an experimental study of some properties of low-order finite Abelian groups from the standpoint of the applicability of such groups in cryptographic applications. read more here.
Keywords: cryptographic applications; comparing finite; finite abelian; abelian groups ... See more keywords
On the Quasi-Endomorphism Rings of Quasi-Decomposable Torsion-Free Abelian Groups of Rank 4 with a Strongly Indecomposable Quasi-Summand of Rank 2
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DOI: 10.1007/s10958-018-3757-5
Abstract: We obtain a description of quasi-endomorphism rings of torsion-free Abelian groups G of rank 4 that are quasi-decomposable into a direct sum of groups A1 and A2 of rank 1 and a strongly indecomposable group… read more here.
Keywords: torsion free; endomorphism rings; groups rank; abelian groups ... See more keywords
On Abelian Groups with Commutative Commutators of Endomorphisms
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DOI: 10.1007/s10958-018-3758-4
Abstract: Abelian groups with commutative commutators of endomorphisms are studied. The structure of these groups is described among torsion, completely decomposable, coperiodic, and split mixed groups. read more here.
Keywords: abelian groups; commutative commutators; commutators endomorphisms; groups commutative ... See more keywords
Phase retrieval for continuous Gabor frames on locally compact abelian groups
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DOI: 10.1007/s43037-020-00118-2
Abstract: In this paper, we study continuous frames from projective representations of locally compact abelian groups of type $$\widehat{G}\times G$$ . In particular, using the Fourier transform on locally compact abelian groups, we obtain a characterization… read more here.
Keywords: retrieval continuous; continuous gabor; abelian groups; compact abelian ... See more keywords
Some transitivity-like concepts in Abelian groups
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DOI: 10.1016/j.jalgebra.2019.03.026
Abstract: Abstract The classical notions of transitivity and full transitivity in Abelian p-groups have natural extensions to concepts called Krylov and weak transitivity. The interconnections between these four types of transitivity are determined for Abelian p-groups;… read more here.
Keywords: like concepts; abelian groups; transitivity like; transitivity ... See more keywords
Orthogonality of a pair of frames over locally compact abelian groups
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DOI: 10.1016/j.jmaa.2017.10.031
Abstract: Abstract In this article, we provide necessary and sufficient conditions for the orthogonality of two Bessel families when such families have the form of generalized translation invariant (GTI) systems over a second countable locally compact… read more here.
Keywords: pair frames; locally compact; abelian groups; compact abelian ... See more keywords