Results 1 to 10 of about 149,438 (204)
Kneser’s theorem in -finite abelian groups [PDF]
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
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On Some Diagram Assertions in Preabelian and P-Semi-Abelian Categories [PDF]
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.
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Abelian Theorems for Hardy Transformations [PDF]
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.
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Thurston’s fragmentation and c-principles
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
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Wilson loop and Wilczek-Zee phase from a non-Abelian gauge field
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
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Abelianization and the Duistermaat–Heckman theorem
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
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Sobre el Teorema Tauberiano de W. Rudin
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
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Asymptotic symmetries in (d + 2)-dimensional gauge theories
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
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The Baer–Kaplansky Theorem for all abelian groups and modules
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
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p-Adic estimates of Hamming weights in Abelian codes over Galois rings [PDF]
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.
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