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
Strictly and Strongly Positive Definite Functions on Locally Compact Hypergroups
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DOI: 10.1007/s00025-021-01466-7
Abstract: In this paper, we initiate and study strictly and strongly X-positive definite functions on a hypergroup K, where X is a subset of K, and give some equivalent conditions. read more here.
Keywords: strictly strongly; definite functions; positive definite; locally compact ... See more keywords
Strict topology on locally compact semigroups
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DOI: 10.1007/s00233-016-9842-5
Abstract: AbstractLet S be a locally compact Hausdorff semigroup, and $$\mathfrak {A}$$A a solid subalgebra of measure algebra M(S). In this paper, among other results, we find necessary and sufficient conditions on S that implies $$\mathfrak… read more here.
Keywords: semigroup; strict topology; topology locally; locally compact ... See more keywords
Coorbit spaces related to locally compact hypergroups
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DOI: 10.1007/s10474-017-0736-0
Abstract: We initiate the study of coorbit spaces on locally compact hypergroups and give some necessary and sufficient conditions for the extended coorbit spaces to be complete. read more here.
Keywords: compact hypergroups; spaces related; coorbit; locally compact ... See more keywords
Contraction groups and passage to subgroups and quotients for endomorphisms of totally disconnected locally compact groups
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DOI: 10.1007/s11856-018-1750-9
Abstract: The concepts of the scale and tidy subgroups for an automorphism of a totally disconnected locally compact group were defined in seminal work by George A. Willis in the 1990s, and recently generalized to the… read more here.
Keywords: disconnected locally; locally compact; contraction groups; totally disconnected ... See more keywords
K-theory of locally compact modules over orders
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DOI: 10.1007/s11856-021-2247-5
Abstract: We present a quick approach to computing the $K$-theory of the category of locally compact modules over any order in a semisimple $\mathbb{Q}$-algebra. We obtain the $K$-theory by first quotienting out the compact modules and… read more here.
Keywords: modules orders; locally compact; compact modules; theory locally ... See more keywords
Phase retrieval for continuous Gabor frames on locally compact abelian groups
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DOI: 10.1007/s43037-020-00118-2
Abstract: In this paper, we study continuous frames from projective representations of locally compact abelian groups of type $$\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
Locally compact groups with permutable closed subgroups
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DOI: 10.1016/j.aim.2021.107894
Abstract: Abstract We give a detailed description of all totally disconnected locally compact groups with only compact elements in which any two closed subgroups are permutable and their product being a closed subgroup again. This amounts… read more here.
Keywords: compact groups; closed subgroups; groups permutable; locally compact ... See more keywords
A dichotomy property for locally compact groups
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2018.03.013
Abstract: We extend to metrizable locally compact groups Rosenthal's theorem describing those Banach spaces containing no copy of $l_1$. For that purpose, we transfer to general locally compact groups the notion of interpolation ($I_0$) set, which… read more here.
Keywords: dichotomy property; locally compact; property locally; compact group ... See more keywords
Two open problems of Day and Wong on left thick subsets and left amenability
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DOI: 10.1016/j.jmaa.2017.03.070
Abstract: Abstract This paper answers two open problems raised by Mahlon M. Day [4] and James C.S. Wong [17] : Does uniformly topological left amenability imply the existence of left translation continuous measures on a locally… read more here.
Keywords: left amenability; two open; locally compact; amenability ... 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