Results 1 to 10 of about 1,273 (222)
Hierarchical Wilson–Cowan Models and Connection Matrices [PDF]
Entropy, 2023 This work aims to study the interplay between the Wilson–Cowan model and connection matrices. These matrices describe cortical neural wiring, while Wilson–Cowan equations provide a dynamical description of neural interaction.
W. A. Zúñiga-Galindo +1 more
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On Constructing Informationally Complete Covariant Positive Operator-Valued Measures [PDF]
Entropy, 2023 We study a projective unitary representation of the product G=G˜×G, where G is a locally compact Abelian group and G^ is its dual consisting of characters on G.
Grigori Amosov
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Continuity of the dual Haar measure
Comptes Rendus. Mathématique, 2021 Given a continuous field of locally compact groups, we show that the field of the Plancherel weights of their C*-algebras is lower semi-continuous. As a corollary, we obtain that the dual Haar system of a continuous Haar system of a locally compact ...
Renault, Jean
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On unconditionally convergent series in topological rings
Karpatsʹkì Matematičnì Publìkacìï, 2022 We define a topological ring $R$ to be Hirsch, if for any unconditionally convergent series $\sum_{n\in\omega} x_i$ in $R$ and any neighborhood $U$ of the additive identity $0$ of $R$ there exists a neighborhood $V\subseteq R$ of $0$ such that $\sum_{n ...
T.O. Banakh, A.V. Ravsky
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Krein’s Theorem in the Context of Topological Abelian Groups
Axioms, 2022 A topological abelian group G is said to have the quasi-convex compactness property (briefly, qcp) if the quasi-convex hull of every compact subset of G is again compact.
Tayomara Borsich +2 more
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Commutative Topological Semigroups Embedded into Topological Abelian Groups
Axioms, 2020 In this paper, we give conditions under which a commutative topological semigroup can be embedded algebraically and topologically into a compact topological Abelian group.
Julio César Hernández Arzusa
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Harmonic analysis of functions almost periodic at infinity in Banach modules [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 The article is devoted to homogeneous spaces of functions defined on a locally compact Abelian group and with their values in a complex Banach space.
Strukova, Irina Igorevna
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Locally Quasi-Convex Compatible Topologies on a Topological Group
Axioms, 2015 For a locally quasi-convex topological abelian group (G,τ), we study the poset \(\mathscr{C}(G,τ)\) of all locally quasi-convex topologies on (G) that are compatible with (τ) (i.e., have the same dual as (G,τ) ordered by inclusion.
Lydia Außenhofer +2 more
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A Distinguished Subgroup of Compact Abelian Groups
Axioms, 2022 Here “group” means additive abelian group. A compact group G contains δ–subgroups, that is, compact totally disconnected subgroups Δ such that G/Δ is a torus.
Dikran Dikranjan +3 more
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Characterized Subgroups of Topological Abelian Groups
Axioms, 2015 A subgroup H of a topological abelian group X is said to be characterized by a sequence v = (vn) of characters of X if H = {x ∈ X : vn(x) → 0 in T}. We study the basic properties of characterized subgroups in the general setting, extending results known ...
Dikran Dikranjan +2 more
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