Results 31 to 40 of about 1,995,067 (86)
On an identity theorem in the Nevanlinna class N
, 1994 We prove the following theorem: Let ƒ be in the Nevanlinna class N , and let z n be distinct points in the unit disk D with Σ ∞ n =1 (1 - | z n |) = ∞. Further let λ n > 0, λ n → ∞ as n → ∞ and ϵ n > 0, Σ ∞ n =1 ϵ n N , in the case when these zeros are ...
N. Danikas
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On commutativity of one-sided s-unital rings
International Journal of Mathematics and Mathematical Sciences, 1992 The following theorem is proved: Let r=r(y)>1, s, and t be non-negative integers. If R is a left s-unital ring satisfies the polynomial identity [xy−xsyrxt,x]=0 for every x,y∈R, then R is commutative. The commutativity of a right s-unital ring satisfying
H. A. S. Abujabal, M. A. Khan
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A Note on Four-Variable Reciprocity Theorem
International Journal of Mathematics and Mathematical Sciences, 2009 We give new proof of a four-variable reciprocity theorem using Heine's transformation, Watson's transformation, and Ramanujan's 1𝜓1-summation formula. We also obtain a generalization of Jacobi's triple product identity.
Chandrashekar Adiga, P. S. Guruprasad
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Commutativity Theorems in Groups with Power-like Maps
Journal of Formalized Reasoning, 2019 There are several commutativity theorems in groups and rings which involve power maps f(x) = xn. The most famous example of this kind is Jacobson's theorem which asserts that any ring satisfying the identity xn = x is commutative.
Ranganathan Padmanabhan, Yang Zhang
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Improved inclusion-exclusion identities via closure operators [PDF]
Discrete Mathematics & Theoretical Computer Science, 2000 Let (A v) v ∈ V be a finite family of sets. We establish an improved inclusion-exclusion identity for each closure operator on the power set of V having the unique base property.
Klaus Dohmen
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On the Carleman classes of vectors of a scalar type spectral operator
International Journal of Mathematics and Mathematical Sciences, 2004 The Carleman classes of a scalar type spectral operator in a reflexive Banach space are characterized in terms of the operator's resolution of the identity. A theorem of the Paley-Wiener type is considered as an application.
Marat V. Markin
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1/L 2 corrected soft photon theorem from a CFT3 Ward identity
Journal of High Energy Physics, 2023 Classical soft theorems applied to probe scattering processes on AdS4 spacetimes predict the existence of perturbative 1/L 2 corrections to the soft photon and soft graviton factors of asymptotically flat spacetimes.
Nabamita Banerjee +2 more
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On the Incompleteness of Ibragimov's Conservation Law Theorem and Its Equivalence to a Standard Formula Using Symmetries and Adjoint-Symmetries [PDF]
Symmetry, 2016 A conservation law theorem stated by N. Ibragimov along with its subsequent extensions are shown to be a special case of a standard formula that uses a pair consisting of a symmetry and an adjoint-symmetry to produce a conservation law through a well ...
S. Anco
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Comptes Rendus. Mathématique, 2023 It is shown that if $X$ is a unitary operator so that a singular subspace of $U$ is unitarily equivalent to a singular subspace of $UX$ (or $XU$), for each unitary operator $U$, then $X$ is the identity operator.
Bazao, Vanderléa R. +2 more
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Higher-Dimensional Supertranslations and Weinberg's Soft Graviton Theorem [PDF]
, 2015 Asymptotic symmetries of theories with gravity in d = 2m+2 spacetime dimensions are reconsidered for m > 1 in light of recent results concerning d = 4 BMS symmetries.
D. Kapec +3 more
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