Benjamin Eichinger,Milivoje Lukić,Giorgio Young
Benjamin Eichinger
A new way of encoding a non-self-adjoint Jacobi matrix J by a spectral measure of |J| together with a phase function was described by Pushnitski-Štampach in the bounded case. We present another perspective on this correspondence, based on ...
Approximation of Dirac Operators with Confining Electrostatic and Lorentz Scalar [Formula: see text] -Shell Potentials [0.03%]
带有限制静电和洛伦兹标量[sigma]-壳势的狄拉克算子的逼近
Christian Stelzer-Landauer
Christian Stelzer-Landauer
In this paper we continue earlier investigations regarding the approximation of Dirac operators with δ -shell potentials in the norm resolvent sense. In particular, we consider the approximation of Dirac operators with confining electr...
William Gryc,Loredana Lanzani,Jue Xiong et al.
William Gryc et al.
We give new characterizations of the optimal data space for the L p ( b D , σ ) -Neumann boundary value problem for the ∂ ¯ operator associated to a bounded, Lipschitz domain D ⊂ C . We show that the solution sp...
Trieu Le,Tomas Miguel Rodriguez,Sönmez Şahutoğlu
Trieu Le
We study compactness of product of Toeplitz operators with symbols continuous on the closure of the polydisc in terms of behavior of the symbols on the boundary. For certain classes of symbols f and g, we show that T f T g is compact if ...
Markus Holzmann
Markus Holzmann
This paper is devoted to the analysis of the single layer boundary integral operator Cz for the Dirac equation in the two- and three-dimensional situation. The map Cz is the strongly singular integral operator having the integral kernel of ...
Borbala Gerhat,Christiane Tretter
Borbala Gerhat
We introduce the new concepts of pseudo numerical range for operator functions and families of sesquilinear forms as well as the pseudo block numerical range for n × n operator matrix functions. While these notions are new even in t...
Multiple Sampling and Interpolation in Weighted Fock Spaces of Entire Functions [0.03%]
全纯函数加权fock空间中的多次抽样与插值问题
Luis Alberto Escudero,Antti Haimi,José Luis Romero
Luis Alberto Escudero
We characterize sampling and interpolating sets with derivatives in weighted Fock spaces on the complex plane in terms of their weighted Beurling densities. ...
Stefan Haller
Stefan Haller
We consider a one parameter family of Laplacians on a closed manifold and study the semi-classical limit of its analytically parametrized eigenvalues. Our results establish a vector valued analogue of a theorem for scalar Schrödinger opera...