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Inverse spectral problems are studied for the second order integro-differential operators on a finite interval. Properties of spectral characteristic are established, and the uniqueness theorem is proved for this class of inverse problems.

谱理论 · 数学 2017-02-06 Vjacheslav Yurko

We consider a second order self-adjoint operator in a domain which can be bounded or unbounded. The boundary is partitioned into two parts with Dirichlet boundary condition on one of them, and Neumann condition on the other. We assume that…

谱理论 · 数学 2018-09-28 Denis Borisov , Ivan Veselic'

In order to study signed Eulerian numbers, we introduce permutations of a particular type, called parity-alternate permutations, because they take even and odd entries alternately. The objective of this paper is twofold. The first is to…

组合数学 · 数学 2007-05-23 Shinji Tanimoto

We completely calculate the $RO(\mathbb{Z}/p)$-graded coefficients $H\underline{\mathbb{Z}/p}_\star H\underline{\mathbb{Z}/p}$ for the constant Mackey functor $\underline{\mathbb{Z}/p}$.

代数拓扑 · 数学 2023-04-13 Po Hu , Igor Kriz , Petr Somberg , Foling Zou

In this paper we compute the number of n degree representations of a group of order p^3 for p an odd prime and the dimensions of corresponding spaces of invariant bilinear forms over an algebraically closed field F. We explicitly discuss…

表示论 · 数学 2021-06-24 Dilchand Mahto , Jagmohan Tanti

We compute the equivariant bordism of free oriented $(\mathbb{Z}/p)^n$-manifolds as a module over $\Omega_*^{SO}$, when $p$ is an odd prime. We show, among others, that this module is canonically isomorphic to a direct sum of suspensions of…

代数拓扑 · 数学 2017-05-17 Bernhard Hanke

Let P be the set of the sequence of polynomials of degree n. The aim of this paper is to study the Stirling numbers of the second kind associated with P and of the first kind associated with P, in a unified and systematic way with the help…

数论 · 数学 2022-02-24 Dae san Kim , taekyun Kim

The new combined formulas have been established for the complex and real rotation-angular functions arising in the evaluation of two-center overlap integrals over arbitrary atomic orbitals in molecular coordinate system. These formulas can…

化学物理 · 物理学 2013-02-12 I. I. Guseinov

In the previous paper, we studied obstructions to the existence of complex sections on almost complex manifolds up to cobordism. We determined the obstruction rationally, in terms of the Chern classes. In this paper, we study the torsion…

代数拓扑 · 数学 2024-09-04 Dennis Nguyen

Additive deformations of bialgebras in the sense of J. Wirth, i.e. deformations of the multiplication map fulfilling a certain compatibility condition w.r.t. the coalgebra structure, can be generalized to braided bialgebras. The theorems…

量子代数 · 数学 2016-12-14 Malte Gerhold , Stefan Kietzmann , Stephanie Lachs

In the paper "An Abelian Loop for Non-Composites" (arXiv:110.14716), we introduced a group-like structure consisting of odd prime numbers and 1, with properties that allowed us to prove analogous results to well known theorems in Number…

综合数学 · 数学 2024-12-11 Raghavendra N. Bhat

We solve the following problem: to describe in geometric terms all differential operators of the second order with a given principal symbol. Initially the operators act on scalar functions. Operator pencils acting on densities of arbitrary…

微分几何 · 数学 2019-01-16 Hovhannes M. Khudaverdian , Theodore Voronov

The right conjugacy closed loops of order 2p, where p is an odd prime, are classified up to isomorphism.

群论 · 数学 2017-12-20 Katharina Artic , Gerhard Hiss

It is well known that the standard projection methods allow one to recover the whole spectrum of a bounded self-adjoint operator but they often lead to spectral pollution, i.e. to spurious eigenvalues lying in the gaps of the essential…

谱理论 · 数学 2012-03-23 Eugene Shargorodsky

We provide a way to modify and to extend a previously established inequality by P. Erd\H{o}s, R. Graham and others and to answer a conjecture posed in the nineties by R. Graham, which bears on the lack of divisibility of the central…

数论 · 数学 2010-10-18 Robert J Betts

We study the Poisson (co)homology of the algebra of truncated polynomials in two variables viewed as the semi-classical limit of a quantum complete intersection studied by Bergh and Erdmann. We show in particular that the Poisson cohomology…

K理论与同调 · 数学 2008-06-02 Stephane Launois , Lionel Richard

We approximate the spectra of a class of $2n$-order differential operators using isogeometric analysis in mixed formulations. This class includes a wide range of differential operators such as those arising in elliptic, biharmonic,…

数值分析 · 数学 2018-06-13 Quanling Deng , Vladimir Puzyrev , Victor Calo

In this article we construct Symmetric operations for all primes (previously known only for p=2). These unstable operations are more subtle than the Landweber-Novikov operations, and encode all p-primary divisibilities of characteristic…

代数几何 · 数学 2019-02-20 Alexander Vishik

Inclusive $H_b \to X_s \, \gamma$ decays, with $H_b$ a beauty baryon, are treated exploiting an expansion up to the third order in the inverse of the $b$ quark mass $m_b$ and to LO in $\alpha_s$, keeping the dependence on the hadron spin.…

高能物理 - 唯象学 · 物理学 2024-10-10 Francesco Loparco

By using the recent experimental measurements of B -> pi pi and B -> K pi branching ratios, we find that the amplitudes computed at the leading order of the LambdaQCD/mb expansion disagree with the observed BRs, even taking into account the…

高能物理 - 唯象学 · 物理学 2011-01-27 M. Ciuchini , E. Franco , G. Martinelli , M. Pierini , L. Silvestrini