LAUSR

Persistently unbounded functions on locally compact Abelian groups

Sign Up to like & get
recommendations!
0 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

Phase retrieval for continuous Gabor frames on locally compact abelian groups

Sign Up to like & get
recommendations!
0 Published in 2021 at "Banach Journal of Mathematical Analysis"

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

Orthogonality of a pair of frames over locally compact abelian groups

Sign Up to like & get
recommendations!
0 Published in 2018 at "Journal of Mathematical Analysis and Applications"

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

On reconstruction from discrete local moving averages on locally compact abelian groups

Sign Up to like & get
recommendations!
0 Published in 2018 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2018.04.052

Abstract: Abstract Let G be a locally compact abelian group and μ be a compactly supported discrete measure on G. We analyse the range of the operator C μ : C ( G ) ⟶ C… read more here.

Keywords: abelian group; local moving; discrete local; locally compact ... See more keywords

On Wiener's lemma for locally compact abelian groups

Sign Up to like & get
recommendations!
1 Published in 2021 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2021.124968

Abstract: Inspired by an extension of Wiener's lemma on the relation of measures $\mu$ on the unit circle and their Fourier coefficients $\widehat{\mu}(k_n)$ along subsequences $(k_n)$ of the natural numbers by Cuny, Eisner and Farkas [CEF19,… read more here.

Keywords: wiener lemma; lemma locally; abelian groups; compact abelian ... See more keywords

Locally compact abelian p-groups

Sign Up to like & get
recommendations!
0 Published in 2019 at "Topology and its Applications"

DOI: 10.1016/j.topol.2019.02.031

Abstract: Abstract A locally compact abelian group is called periodic if it is totally disconnected and is a directed union of its compact subgroups. Various aspects of abelian periodic groups are considered such as – decomposing… read more here.

Keywords: topology; abelian groups; compact abelian; locally compact ... See more keywords