Zobrazeno 1 - 10
of 60 089
pro vyhledávání: '"Krein, A."'
Autor:
Jahan, Shah, Johnson, P. Sam
We start by introducing and studying the definition of a Riesz basis in a Krein space $(\mathcal{K},[.,.])$, along with a condition under which a Riesz basis becomes a Bessel sequence. The concept of biorthogonal sequence in Krein spaces is also intr
Externí odkaz:
http://arxiv.org/abs/2412.11935
The aim of this paper is to identify the limit in a high temperature regime of classical beta ensembles on the real line and related eigenvalue processes by using the Markov--Krein transform. We show that the limiting measure of Gaussian beta ensembl
Externí odkaz:
http://arxiv.org/abs/2412.01015
Autor:
Ngai, Sze-Man, Zhao, Wen-Quan
Let $d\geq1$, $\Omega$ be a bounded domain of a smooth complete Riemannian d-manifold M, and $\mu$ be a positive finite Borel measure with compact support in $\overline{\Omega}$. We prove the Courant nodal domain theorem for the eigenfunctions of Kre
Externí odkaz:
http://arxiv.org/abs/2412.10007
Autor:
Remling, Christian
I prove a sharp bound on reflectionless Dirac operators.
Externí odkaz:
http://arxiv.org/abs/2412.01599
Autor:
Jursenas, Rytis
It is a classical result that, if a maximal symmetric operator $T$ in a Krein space $\mathcal{H}=\mathcal{H}^-[\oplus]\mathcal{H}^+$ has the property $\mathcal{H}^-\subseteq\mathcal{D}_T$, then the imaginary part of its eigenvalue $\lambda$ from uppe
Externí odkaz:
http://arxiv.org/abs/2410.16725
Autor:
Gubkin, Pavel
We prove that mean decay of the coefficient of Krein system is equivalent to the mean decay of the Fourier transform of its Szeg\H{o} function.
Externí odkaz:
http://arxiv.org/abs/2409.08614
We consider a general Kinetic Fokker-Planck (KFP) equation in a domain with Maxwell reflection condition on the boundary, not necessarily with conservation of mass. We establish the wellposedness in many spaces including Radon measures spaces, and in
Externí odkaz:
http://arxiv.org/abs/2407.10530
Autor:
Emmel, Christian
Let S be a symmetric relation with deficiency index (1,1). In this article, we extend Krein`s resolvent formalism in order to describe all, not necessarily self-adjoint, extensions $S \subset \tilde{A}$ with $\varrho(\tilde{A})\neq \emptyset$. The co
Externí odkaz:
http://arxiv.org/abs/2407.07491
This paper is devoted to matrices with hyperbolical Krein space numerical range. This shape characterizes the 2-by-2 case and persists for certain classes of matrices, independently of their size. Ne\-cessary and sufficient conditions for low dimensi
Externí odkaz:
http://arxiv.org/abs/2407.03164
Autor:
Rollier, Lukas
We define quantum automorphism groups of a wide range of discrete structures. The central tool for their construction is a generalisation of the Tannaka-Krein reconstruction theorem. For any direct sum of matrix algebras $M$, and any concrete unitary
Externí odkaz:
http://arxiv.org/abs/2405.03364