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The 2nd order corrections are obtained to both forward and nonforward interaction of reggeized gluons in the octet colour channel using as a basis the bootstrap relation and a specific ansatz to solve it. The obtained forward kernel…

高能物理 - 唯象学 · 物理学 2009-10-31 Mikhail Braun , Gian Paolo Vacca

In 1896 Tresse gave a complete description of relative differential invariants for the pseudogroup action of point transformations on the 2nd order ODEs. The purpose of this paper is to review, in light of modern geometric approach to PDEs,…

经典分析与常微分方程 · 数学 2008-09-29 Boris Kruglikov

We analyse the OPE of any two 1/2 BPS operators of (2,0) SCFT$_6$ by constructing all possible three-point functions that they can form with another, in general long operator. Such three-point functions are uniquely determined by…

高能物理 - 理论 · 物理学 2010-02-03 B. Eden , S. Ferrara , E. Sokatchev

We consider Poisson superalgebras with constant nondegenerate bracket realized on the smooth Grassmann-valued functions with compact supports in R^{2n}. The deformations with even and odd deformation parameters of these superalgebras are…

量子代数 · 数学 2010-01-13 S. E. Konstein , I. V. Tyutin

The variation of spectral subspaces for linear self-adjoint operators under an additive bounded off-diagonal perturbation is studied. To this end, the optimization approach for general perturbations in [J. Anal. Math., to appear;…

谱理论 · 数学 2016-07-28 Albrecht Seelmann

In this article we review recent progress in the understanding of multiband superconductivity and its relationship to odd-frequency pairing. We begin our discussion by reviewing the emergence of odd-frequency pairing in a simple two-band…

超导电性 · 物理学 2020-03-18 Christopher Triola , Jorge Cayao , Annica M. Black-Schaffer

Let E be the extraspecial p-group of order p^3 and exponent p where p is an odd prime. We determine the mod p cohomology of summands in the stable splitting of p-completed classifying space BE modulo nilpotence.

代数拓扑 · 数学 2012-10-03 Akihiko Hida , Nobuaki Yagita

Affiliated and normal operators in octonion Hilbert spaces are studied. Theorems about their properties and of related algebras are demonstrated. Spectra of unbounded normal operators are investigated.

泛函分析 · 数学 2018-12-18 S. V. Ludkovsky

We study a complex perturbation of a self-adjoint infinite band Schrodinger operator (defined in the form sense), and obtain the Lieb--Thirring type inequalities for the rate of convergence of the discrete spectrum of the perturbed operator…

谱理论 · 数学 2015-02-24 L. Golinskii , S. Kupin

In this paper we establish a refinement of the companion of Ostrowski inequality for functions of bounded variation. Applications for the trapezoid inequality, the mid-point inequality, and to probability density functions are also given.

泛函分析 · 数学 2012-07-18 Wenjun Liu , Yun Sun

Analytic expression for energy and angular dependence of a secondary charged lepton in the decay of a polarized top quark with anomalous $tWb$ couplings in the presence of all anomalous couplings are derived. The angular distribution of the…

高能物理 - 唯象学 · 物理学 2008-11-26 Mojtaba Mohammadi Najafabadi

In this paper, we write down the local Brauer classes of the endomorphism algebras of motives attached to non-CM primitive Hecke eigenforms for all supercuspidal primes in terms of traces of adjoint lifts at auxiliary primes. We give an…

数论 · 数学 2019-03-21 Debargha Banerjee , Tathagata Mandal

CP-odd invariants are useful for studying the CP properties of Lagrangians in any basis. We explain how to build basis invariants for the scalar sector, and how to distinguish CP-odd invariants from CP-even invariants. Up to a certain…

高能物理 - 唯象学 · 物理学 2017-09-13 Ivo de Medeiros Varzielas

In this paper we prove that a class of non self-adjoint second order differential operators acting in cylinders $\Omega\times\mathbb R\subseteq\mathbb R^{d+1}$ have only real discrete spectrum located to the right of the right most point of…

偏微分方程分析 · 数学 2017-11-08 Anna Ghazaryan , Yuri Latushkin , Alin Pogan

In the papers dealing with derivation and applications of operational matrices of Bernstein polynomials, a basis transformation, commonly a transformation to power basis, is used. The main disadvantage of this method is that the…

数值分析 · 数学 2016-11-02 M. Jani , E. Babolian , S. Javadi , D. Bhatta

A Parity Alternating Permutation of the set $[n] = \{1, 2,\ldots, n\}$ is a permutation with even and odd entries alternatively. We deal with parity alternating permutations having an odd entry in the first position, PAPs. We study the…

组合数学 · 数学 2022-04-04 Frether Getachew Kebede , Fanja Rakotondrajao

We study the numerical differentiation formulae for functions given in grids with arbitrary number of nodes. We investigate the case of the infinite number of points in the formulae for the calculation of the first and the second…

数值分析 · 数学 2025-10-20 Maxim Dvornikov

The prime-counting function $\pi(x)$ which returns the number of primes smaller or equal to a given number is a topic of interest in number theory. An algorithm based on a cyclic group isomorphic to $Z/nZ$, the so-called $Z$-functions, was…

综合数学 · 数学 2024-03-18 Yuri Heymann

We study the four-dimensional superconformal N=2 gauge theories engineered by the Type IIB superstring on Arnold's 14 exceptional unimodal singularities (a.k.a. Arnold's strange duality list), thus extending the methods of 1006.3435 to…

高能物理 - 理论 · 物理学 2015-05-30 Sergio Cecotti , Michele Del Zotto

The inverse problem for the differential operator pencil with complex periodic potential and discontinuous coefficients on the axis is studied. Main characteristics of the fundamental solutions are investigated, the spectrum of the operator…

谱理论 · 数学 2010-03-30 R. F. Efendiev