ﻻ يوجد ملخص باللغة العربية
We investigate minimal operator corresponding to operator differential expression with exit from space, study its selfadjoint extensions, also for one particular selfadjoint extension corresponding to boundary value problem with some rational function of eigenparameter in boundary condition establish asymptotics of spectrum and derive trace formula
We study the problem of finding the instability index of certain non-selfadjoint fourth order differential operators that appear as linearizations of coating and rimming flows, where a thin layer of fluid coats a horizontal rotating cylinder. The mai
In this note we define and study a Hilbert space-valued stochastic integral of operator-valued functions with respect to Hilbert space-valued measures. We show that this integral generalizes the classical Ito stochastic integral of adapted processes
Given a densely defined and closed operator $A$ acting on a complex Hilbert space $mathcal{H}$, we establish a one-to-one correspondence between its closed extensions and subspaces $mathfrak{M}subsetmathcal{D}(A^*)$, that are closed with respect to t
In this note, we consider the Dirac operator $D$ on a Riemannian symmetric space $M$ of noncompact type. Using representation theory we show that $D$ has point spectrum iff the $hat A$-genus of its compact dual does not vanish. In this case, if $M$ i
The main object of the paper is a symmetric system $J y-B(t)y=lD(t) y$ defined on an interval $cI=[a,b) $ with the regular endpoint $a$. Let $f(cd,l)$ be a matrix solution of this system of an arbitrary dimension and let $(Vf)(s)=intlimits_cI f^*(t,s