Results 71 to 80 of about 1,273 (222)
Free topological groups and the projective dimension of a locally compact abelian group
, 1973 It is shown that a free topological group on a k ω {k_\omega } -space is a k ω {k_\omega } -space. Using this it is proved that if X X
Edward T. Ordman +2 more
core +1 more source
Discrete Analysis, 2017 Notes on compact nilspaces, Discrete Analysis 2017:16, 57 pp. This is the second paper in a two-part series. The first paper, [also published in this journal](http://discreteanalysisjournal.com/article/2105-notes-on-nilspaces-algebraic-aspects ...
Pablo Candela
doaj +1 more source
Kuramoto Model on Sierpinski Gasket I: Harmonic Maps
Studies in Applied Mathematics, Volume 156, Issue 5, May 2026.ABSTRACT Motivated by the study of attractors in the Kuramoto model (KM) on graphs, approximating the Sierpinski gasket (SG), we revisit the problem of harmonic maps (HMs) from SG to the circle, first considered by Strichartz. We provide a geometric proof of Strichartz's theorem, which states that for a prescribed degree and suitable boundary ...
Georgi S. Medvedev, Matthew S. Mizuhara
wiley +1 more source
On Pure Subgroups of Locally Compact Abelian Groups
, 2003 In this note, we construct an example of a locally compact abelian group G = C × D (where C is a compact group and D is a discrete group) and a closed pure subgroup of G having nonpure annihilator in the Pontrjagin dual $\hat{G}$, answering a question ...
Loth, Peter
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On the finite generation of ideals in tensor triangular geometry
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract Inspired by Cohen's characterization of Noetherian commutative rings, we study the finite generation of ideals in tensor triangular geometry. In particular, for an essentially small tensor triangulated category K$\mathcal {K}$ with weakly Noetherian spectrum, we show that every prime ideal in K$\mathcal {K}$ can be generated by finitely many ...
Tobias Barthel
wiley +1 more source
Normed ring of a locally compact abelian group
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1943 Not ...
Kodaira, Kunihiko, Kakutani, Shizuo
openaire +2 more sources
Co-compact Gabor Systems on Locally Compact Abelian Groups [PDF]
Journal of Fourier Analysis and Applications, 2015 In this work we extend classical structure and duality results in Gabor analysis on the euclidean space to the setting of second countable locally compact abelian (LCA) groups. We formulate the concept of rationally oversampling of Gabor systems in an LCA group and prove corresponding characterization results via the Zak transform.
Jakobsen, Mads Sielemann +1 more
openaire +4 more sources
A characterization of Gaussian measures on locally compact Abelian groups
, 1977 Let ξ and η be independent random variables having equal variance. In order that ξ + η and ξ - η be independent, it is necessary and sufficient that ξ and η have normal distributions.
B. L. S. Prakasa Rao +1 more
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A dichotomy property for locally compact groups [PDF]
, 2018 We extend to metrizable locally compact groups Rosenthal's theorem describing those Banach spaces containing no copy of l1. For that purpose, we transfer to general locally compact groups the notion of interpolation (Io) set, which was defined by Hartman
Salvador Hernández +6 more
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Polymatroidal tilings and the Chow class of linked projective spaces
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract Linked projective spaces are quiver Grassmannians of constant dimension one of certain quiver representations, called linked nets, over certain quivers, called Zn$\mathbb {Z}^n$‐quivers. They were recently introduced as a tool for describing schematic limits of families of divisors.
Felipe de Leon, Eduardo Esteves
wiley +1 more source