Results 31 to 40 of about 2,640,083 (343)
Bounded Approximate Identities in Ternary Banach Algebras
Abstract and Applied Analysis, 2012 Let A be a ternary Banach algebra. We prove that if A has a left-bounded approximating set, then A has a left-bounded approximate identity. Moreover, we show that if A has bounded left and right approximate identities, then A has a bounded approximate ...
Madjid Eshaghi Gordji +2 more
doaj +1 more source
A new four parameter q-series identity and its partition implications [PDF]
, 2002 We prove a new four parameter q-hypergeometric series identity from which the three parameter key identity for the Goellnitz theorem due to Alladi, Andrews, and Gordon, follows as a special case by setting one of the parameters equal to 0.
Alladi, Krishnaswami +2 more
core +3 more sources
A Hybrid Mean Value Involving Dedekind Sums and the Generalized Kloosterman Sums
Journal of Mathematics, 2021 In this paper, we use the mean value theorem of Dirichlet L-functions and the properties of Gauss sums and Dedekind sums to study the hybrid mean value problem involving Dedekind sums and the general Kloosterman sums and give an interesting identity for ...
Xiaowei Pan, Xiaoyan Guo
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A generalisation of a partition theorem of Andrews to overpartitions [PDF]
, 2014 In 1969, Andrews proved a theorem on partitions with difference conditions which generalises Schur's celebrated partition identity. In this paper, we generalise Andrews' theorem to overpartitions.
Dousse, Jehanne
core +3 more sources
BMS supertranslations and Weinberg’s soft graviton theorem [PDF]
Journal of High Energy Physics, 2014 Recently it was conjectured that a certain infinite-dimensional “diagonal” subgroup of BMS supertranslations acting on past and future null infinity ( and ) is an exact symmetry of the quantum gravity S-matrix, and an associated Ward identity was derived.
T. He, V. Lysov, P. Mitra, A. Strominger
semanticscholar +1 more source
A proof of Pollaczek-Spitzer identity
International Journal of Mathematics and Mathematical Sciences, 1990 In this note we derive a proof of Pollaczek-Spitzer identity using a generalization of Takacs ballot theorem.
S. Paramasamy
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Asymptotic symmetries in (d + 2)-dimensional gauge theories
Journal 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
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Infinite-dimensional fermionic symmetry in supersymmetric gauge theories
Journal of High Energy Physics, 2021 We establish the existence of an infinite-dimensional fermionic symmetry in four-dimensional supersymmetric gauge theories by analyzing semiclassical photino dynamics in abelian N $$ \mathcal{N} $$ = 1 theories with charged matter.
Thomas T. Dumitrescu +3 more
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Non-renormalization theorems of Supersymmetric QED in the Wess-Zumino gauge [PDF]
, 2001 The non-renormalization theorem of chiral vertices and the generalized non-renormalization theorem of the photon self energy are derived in SQED on the basis of algebraic renormalization.
Adler +31 more
core +2 more sources
Celestial current algebra from Low’s subleading soft theorem [PDF]
Physical Review D, 2019 The leading soft photon theorem implies that four-dimensional scattering amplitudes are controlled by a two-dimensional (2D) $U(1)$ Kac-Moody symmetry that acts on the celestial sphere at null infinity ($\mathcal{I}$).
E. Himwich, A. Strominger
semanticscholar +1 more source