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Kneser’s theorem in -finite abelian groups [PDF]

open access: yesCanadian Mathematical Bulletin, 2022
AbstractLet G be a $\sigma $ -finite abelian group, i.e., $G=\bigcup _{n\geq 1} G_n$ where $(G_n)_{n\geq 1}$ is a nondecreasing sequence of finite subgroups. For any $A\subset G$ , let $\underline {\mathrm {d}}( A ):=\liminf _{n\to \infty }\frac {|A\cap G_n|}{|G_n|}$ be its lower asymptotic density.
Bienvenu, Pierre-Yves   +1 more
openaire   +2 more sources

On Some Diagram Assertions in Preabelian and P-Semi-Abelian Categories [PDF]

open access: yesИзвестия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2020
As is well known, many important additive categories in functional analysis and algebra are not abelian. Many classical diagram assertions valid in abelian categories fail in more general additive categories without additional assumptions concerning the ...
Kopylov, Yaroslav A.
doaj   +1 more source

Abelian Theorems for Hardy Transformations [PDF]

open access: yesCanadian Mathematical Bulletin, 1977
AbstractInitial and final value theorems for Hardy transformations and of a suitably chosen function f(x) under a certain set of conditions on v and p where1Jv(x) and Yv(x) being Bessel functions of the first and second kind, and2su, v(x) being Lommel's function, are proved.
Pathak, R. S., Pandey, J. N.
openaire   +2 more sources

Thurston’s fragmentation and c-principles

open access: yesForum of Mathematics, Sigma, 2023
In this paper, we generalize the original idea of Thurston for the so-called Mather-Thurston’s theorem for foliated bundles to prove new variants of this theorem for PL homeomorphisms and contactormorphisms.
Sam Nariman
doaj   +1 more source

Wilson loop and Wilczek-Zee phase from a non-Abelian gauge field

open access: yesnpj Quantum Information, 2021
Quantum states can acquire a geometric phase called the Berry phase after adiabatically traversing a closed loop, which depends on the path not the rate of motion.
Seiji Sugawa   +4 more
doaj   +1 more source

Abelianization and the Duistermaat–Heckman theorem

open access: yesBulletin of the London Mathematical Society, 2023
AbstractWe use the abelianization theorem of Crooks and Weitsman (2022) to prove a non‐abelian generalization of the Duistermaat–Heckman theorem for measures. Our main technical tools include the Gelfand–Cetlin data of Crooks and Weitsman (2022), examples of which are the Gelfand–Cetlin systems of Guillemin–Sternberg and generalizations thereof due to ...
Peter Crooks, Jonathan Weitsman
openaire   +3 more sources

Sobre el Teorema Tauberiano de W. Rudin

open access: yesRevista de Matemática: Teoría y Aplicaciones, 2012
Using W. Rudin’s method it is shown that the tauberian theorem can be generalized to several kernels other than the Poisson kernel. We also proof an inverse of the tauberian theorem, that is, an abelian theorem.
Marielos Mora
doaj   +1 more source

Asymptotic symmetries in (d + 2)-dimensional gauge theories

open access: yesJournal of High Energy Physics, 2019
We show that the subleading soft photon theorem in a (d + 2)-dimensional massless abelian gauge theory gives rise to a Ward identity corresponding to divergent large gauge transformations acting on the celestial sphere at null infinity.
Temple He, Prahar Mitra
doaj   +1 more source

The Baer–Kaplansky Theorem for all abelian groups and modules

open access: yesBulletin of Mathematical Sciences, 2022
It is shown that the Baer–Kaplansky Theorem can be extended to all abelian groups provided that the rings of endomorphisms of groups are replaced by trusses of endomorphisms of corresponding heaps.
Simion Breaz, Tomasz Brzeziński
doaj   +1 more source

p-Adic estimates of Hamming weights in Abelian codes over Galois rings [PDF]

open access: yes, 2006
A generalization of McEliece's theorem on the p-adic valuation of Hamming weights of words in cyclic codes is proved in this paper by means of counting polynomial techniques introduced by Wilson along with a technique known as trace-averaging introduced ...
Katz, Daniel J.
core   +1 more source

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