Search
Search Results
-
Banach algebras on locally compact groups
In this chapter, we shall consider the classical Banach algebras of harmonic analysis that are associated with a locally compact group G. The class...
-
On locally compact groups of small topological entropy
We discuss the finiteness of the topological entropy of continuous endomorphims for some classes of locally compact groups. Firstly, we focus on the...
-
Locally compact sofic groups
We introduce the notion of soficity for locally compact groups and list a number of open problems.
-
Neat locally compact abelian p-groups
Inspired by a result of Kulikov about splitting of pure subgroups in discrete abelian p -groups we classify all locally compact abelian p -groups with...
-
Some Remarks on Projective Representations of Compact Groups and Frames
In this paper, we study continuous frames with symmetries from projective representations of compact groups. In particular, we study maximal spanning...
-
Dual Integrable Representations on Locally Compact Groups
Studies of various reproducing function systems emphasized the role of translations and the Fourier periodization function. These influenced the...
-
Levi-flat CR structures on compact Lie groups
Pittie (Proc Indian Acad Sci Math Sci 98:117-152, 1988) proved that the Dolbeault cohomology of all left-invariant complex structures on compact Lie...
-
Totally disconnected locally compact groups with just infinite locally normal subgroups
We obtain some global features of totally disconnected locally compact (t.d.l.c.) groups G that are locally isomorphic to a just infinite profinite...
-
Representations of Compact Groups
In this chapter, we shall extend to compact topological groups many of the properties proved in the case of finite groups. Some properties will be...
-
Adams operations on the twisted K-theory of compact Lie groups
In this paper, extending the results in Fok (Proc Am Math Soc 145:2799–2813, 2017), we compute Adams operations on the twisted K -theory of connected,...
-
On the Isomorphism and Diffeomorphism of Compact Semisimple Lie Groups
AbstractIn the paper, the connection between algebraic and topological properties of compact semisimple Lie groups is studied. Three series of...
-
Hardy–Littlewood maximal function on Locally compact Abelian groups
In this paper we investigate a boundedness of the Hardy-Littlewood maximal operator M in the variable Lebesgue spaces in the context locally compact...
-
μ-Hankel operators on compact Abelian groups
( μ ; ν )-Hankel operators between separable Hilbert spaces were introduced and studied recently (A. Mirotin and E. Kuzmenkova, μ -Hankel operators on...
-
Geometric amenability in totally disconnected locally compact groups
We give a short geometric proof of a result of Soardi and Woess and Salvatori that a quasitransitive graph is amenable if and only if its...
-
Riesz Multiresolution Analysis on Locally Compact Abelian Groups: Construction and Exceptions
AbstractIn this article, we construct a Riesz multiresolution analysis (MRA) on locally compact Abelian groups (LCA) starting from a suitably given...
-
Compact groups with probabilistically central monothetic subgroups
If K is a closed subgroup of a compact group G , the probability that a randomly chosen pair of elements from K and G commute is denoted by Pr( K , G )....
-
On Harmonic Hilbert Spaces on Compact Abelian Groups
Harmonic Hilbert spaces on locally compact abelian groups are reproducing kernel Hilbert spaces (RKHSs) of continuous functions constructed by...
-
