Results 51 to 60 of about 1,273 (222)

On the Meaning of Localization in Non‐Local Quantum Field Theory

Annalen der Physik, Volume 538, Issue 6, June 2026.
In non‐local quantum field theory nature does not necessarily allow objects or events to be localized to exact mathematical points. Instead any physical measurement has a built‐in finite resolution set by the non‐locality scale. Spacetime remains continuous and Lorentz‐covariant, but below this scale pointlike localization becomes an idealization ...
E. J. Thompson
wiley   +1 more source

A characterization of metaplectic time–frequency representations

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract We characterize all time–frequency representations that satisfy a general covariance property: any weak*‐continuous bilinear mapping that intertwines time–frequency shifts on the configuration space with time–frequency shifts on phase space is a multiple of a metaplectic time–frequency representation. This characterization offers an intrinsic,
Karlheinz Gröchenig, Irina Shafkulovska
wiley   +1 more source

Some remarks on self-dual locally compact Abelian groups

, 1970
The main results of this paper are the construction of some new self-dual locally compact Abelian groups and the proof of a structure theorem for a certain class of such groups.
Lawrence Corwin
core   +1 more source

Frames and Homogeneous Spaces [PDF]

Journal of Sciences, Islamic Republic of Iran, 2011
Let be a locally compact non?abelian group and be a compact subgroup of also let be a ?invariant measure on the homogeneous space . In this article, we extend the linear operator as a bounded surjective linear operator for all ?spaces with .
A. Ghaani Farashahi
doaj  

On orderability of topological groups

International Journal of Mathematics and Mathematical Sciences, 1985
A necessary and sufficient condition for a topological group whose topology can be induced by a total order compatible with the group structure is given and such groups are called ordered or orderable topological groups.
G. Rangan
doaj   +1 more source

Cohomogeneity‐one solitons in Laplacian flow: Local, smoothly‐closing and steady solitons

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We initiate a systematic study of cohomogeneity‐one solitons in Bryant's Laplacian flow of closed G2$\text{G}_2$‐structures on a 7‐manifold, motivated by the problem of understanding finite‐time singularities of that flow. Here, we focus on solitons with symmetry groups Sp(2)${\rm Sp}(2)$ and SU(3)${\rm SU}(3)$; in both cases, we prove the ...
Mark Haskins, Johannes Nordström
wiley   +1 more source

Homological algebra with locally compact abelian groups

Advances in Mathematics, 2007
18 pages ...
Hoffmann, Norbert, Spitzweck, Markus
openaire   +3 more sources

When is the sum of two closed subgroups closed in a locally compact abelian group ?

, 2020
Locally compact abelian groups are classified in which the sum of any two closed subgroups is itself closed. This amounts to reproving and extending results by Yu. N. Mukhin from 1970.
Russo F, Hofmann K, Herfort W
core   +1 more source

The group of characters of a pseudocompact locally compact semitopological semigroup

Applied General Topology
We prove that each semitopological semigroup has a reflection in the class of abelian cancellative semitopological semigroups. Then we use this reflection to prove that the group of characters of a locally compact pseudocompact topological semigroup with
Julio César Hernández Arzusa
doaj   +1 more source

Wiener Tauberian theorems for vector-valued functions

International Journal of Mathematics and Mathematical Sciences, 1994
Different versions of Wiener's Tauberian theorem are discussed for the generalized group algebra L1(G,A) (of integrable functions on a locally compact abelian group G taking values in a commutative semisimple regular Banach algebra A) using A-valued ...
K. Parthasarathy, Sujatha Varma
doaj   +1 more source