We consider the difference operator HW = U + U−1 + W, where U is the self-adjoint Weyl operator U = e−bP, b > 0, and the potential W is of the form W(x) = x2N + r(x) with N∈ℕ and |r(x)| ≤ C(1 + |x|2N−ɛ) for some 0 0
AbstractThe Mathieu operator L(y)=−y″+2acos(2x)y,a∈C,a≠0, considered with periodic or anti-periodic ...
This paper deals with the derivation of a sharp estimate on the difference of traces of the one-para...
AbstractIn this article, we prove that 0 is not an accumulating point of the eigenvalues for a class...
We investigate Weyl type asymptotics of functional-difference operators associated to mirror curves ...
In this paper we obtain sharp Lieb–Thirring inequalities for a Schrödinger operator on semiaxis with...
We consider Schrödinger operators in R^d with complex potentials supported on a hyperplane and show ...
We consider Schrödinger operators in R^d with complex potentials supported on a hyperplane and show ...
In this paper, we prove a uniqueness theorem for the potential $V(x)$ of the following Schrödinger o...
In this paper, we prove a uniqueness theorem for the potential $V(x)$ of the following Schrödinger o...
The Weyl law of the Laplacian on the flat torus $\mathbb{T}^n$ is concerning the number of eigenvalu...
In this paper we provide asymptotic expansions of various spectral quantities of Zakharov–Shabat ope...
In this paper we provide asymptotic expansions of various spectral quantities of Zakharov–Shabat ope...
AbstractThe asymptotics for the differences of the eigenvalues of two Sturm–Liouville problems defin...
Spectral shift function of the Schrodinger operator in the large coupling constant limit, II. Positi...
AbstractIn this paper using the uniqueness theorem of analytic functions we investigated the eigenva...
AbstractThe Mathieu operator L(y)=−y″+2acos(2x)y,a∈C,a≠0, considered with periodic or anti-periodic ...
This paper deals with the derivation of a sharp estimate on the difference of traces of the one-para...
AbstractIn this article, we prove that 0 is not an accumulating point of the eigenvalues for a class...
We investigate Weyl type asymptotics of functional-difference operators associated to mirror curves ...
In this paper we obtain sharp Lieb–Thirring inequalities for a Schrödinger operator on semiaxis with...
We consider Schrödinger operators in R^d with complex potentials supported on a hyperplane and show ...
We consider Schrödinger operators in R^d with complex potentials supported on a hyperplane and show ...
In this paper, we prove a uniqueness theorem for the potential $V(x)$ of the following Schrödinger o...
In this paper, we prove a uniqueness theorem for the potential $V(x)$ of the following Schrödinger o...
The Weyl law of the Laplacian on the flat torus $\mathbb{T}^n$ is concerning the number of eigenvalu...
In this paper we provide asymptotic expansions of various spectral quantities of Zakharov–Shabat ope...
In this paper we provide asymptotic expansions of various spectral quantities of Zakharov–Shabat ope...
AbstractThe asymptotics for the differences of the eigenvalues of two Sturm–Liouville problems defin...
Spectral shift function of the Schrodinger operator in the large coupling constant limit, II. Positi...
AbstractIn this paper using the uniqueness theorem of analytic functions we investigated the eigenva...
AbstractThe Mathieu operator L(y)=−y″+2acos(2x)y,a∈C,a≠0, considered with periodic or anti-periodic ...
This paper deals with the derivation of a sharp estimate on the difference of traces of the one-para...
AbstractIn this article, we prove that 0 is not an accumulating point of the eigenvalues for a class...