Spectral estimates for Dirichlet Laplacian on spiral-shaped regions [PDF]
arXiv, 2022 We derive spectral estimates of the Lieb-Thirring type for eigenvalues of Dirichlet Laplacians on strictly shrinking spiral-shaped domains.
arxiv
Spectral rigidity for infinitesimal generators of representations of twisted $S_νU(2)$ [PDF]
arXiv, 2023 We prove spectral rigidity theorems for the infinitesimal generators of representations of twisted $S_\nu U(2 ...
arxiv
Spectral resolutions for non-self-adjoint block convolution operators [PDF]
arXiv, 2022 The paper concerns the spectral theory for a class of non-self-adjoint block convolution operators. We mainly discuss the spectral representations of such operators. It is considered the general case of operators defined on Banach spaces. The main results are applied to periodic Jacobi matrices.
arxiv
The Spectral Theory of Tensors (Rough Version) [PDF]
arXiv, 2012 This is a survey of the spectral theory of tensors.
arxiv
Spectral Expansion for the Asymptotically Spectral Periodic Differential Operators [PDF]
arXiv, 2016 In this paper we investigate the spectral expansion for the asymptotically spectral differential operators generated in all real line by ordinary differential expression of arbitrary order with periodic matrix-valued ...
arxiv
On the Spectral Singularities and Spectrality of the Hill Operator [PDF]
arXiv, 2014 First we study the spectral singularity at infinity and investigate the connections of the spectral singularities and the spectrality of the Hill operator. Then we consider the spectral expansion when there is not the spectral singularity at infinity.
arxiv
A symmetrization approach to hypermatrix SVD [PDF]
arXiv, 2020 We propose a new hypermatrix singular value decomposition based upon the spectral decomposition of the symmetric products of transposes.
arxiv
Essential Spectral Singularities and the Spectral Expansion for the Hill Operator [PDF]
arXiv, 2015 In this paper we investigate the spectral expansion for the one-dimensional Schrodinger operator with a periodic complex-valued potential. For this we consider in detail the spectral singularities and introduce new concepts as essential spectral singularities and singular quasimomenta.
arxiv
L^2-spectral invariants and convergent sequences of finite graphs [PDF]
arXiv, 2007 Using the spectral theory of weakly convergent sequences of finite graphs, we prove the uniform existence of the integrated density of states for a large class of infinite graphs.
arxiv
Erratum for: Inverse Spectral Theory for a Singular Sturm-Liouville Operator on [0,1] [PDF]
arXiv, 2010 This is a correction to our article in the Journal of Differential Equations, Volume 76(1988).
arxiv