This aim of this course is to give an overview to the study of the continuous spectrum of bounded self-adjoint operators and especially those coming from the setting of graphs. For the sake of completeness, a short course in spectral theory is given with proofs. The continuous and Borelian functional calculi are also developed.Géométrie Spectrale, Graphes et Semiclassiqu
We give the spectral representation for a class of selfadjoint discrete graph Laplacians Delta, with...
This note is an expanded version of the author'scontribution to the Proceedings of the ICMP Santiag...
We prove persistence of absolutely continuous spectrum for the Ander-son model on a general class of...
MasterThis aim of this course is to give an overview to the study of the continuous spectrum of boun...
In this work the method of analyzing of the absolutely continuous spectrum for self-adjoint operator...
Examples are constructed of Laplace-Beltrami operators and graph Laplacians with singular continuous...
In the first part of this thesis the spectrum of a matrix operator is determined. For this the coeff...
AbstractWe prove the existence of absolutely continuous spectrum for a class of discrete Schrödinger...
The Spectral Theorem for Self-Adjoint Operators allows one to define what it means to evaluate a fun...
AbstractLet Ω be any bounded domain in Rd, d > 1, and J a gap of the minimal Laplacian on Ω. We show...
AbstractIn this paper, we consider singular differential and difference operators of the form as we...
Abstract. This paper is devoted to the study of the discrete spectrum of selfadjoint operators, whic...
We define the independence ratio and the chromatic number for bounded, self-adjoint operators on an ...
Abstract.: We give the spectral representation for a class of selfadjoint discrete graph Laplacians ...
On utilizing the spectral representation of self-adjoint operators in Hilbert spaces, some inequali...
We give the spectral representation for a class of selfadjoint discrete graph Laplacians Delta, with...
This note is an expanded version of the author'scontribution to the Proceedings of the ICMP Santiag...
We prove persistence of absolutely continuous spectrum for the Ander-son model on a general class of...
MasterThis aim of this course is to give an overview to the study of the continuous spectrum of boun...
In this work the method of analyzing of the absolutely continuous spectrum for self-adjoint operator...
Examples are constructed of Laplace-Beltrami operators and graph Laplacians with singular continuous...
In the first part of this thesis the spectrum of a matrix operator is determined. For this the coeff...
AbstractWe prove the existence of absolutely continuous spectrum for a class of discrete Schrödinger...
The Spectral Theorem for Self-Adjoint Operators allows one to define what it means to evaluate a fun...
AbstractLet Ω be any bounded domain in Rd, d > 1, and J a gap of the minimal Laplacian on Ω. We show...
AbstractIn this paper, we consider singular differential and difference operators of the form as we...
Abstract. This paper is devoted to the study of the discrete spectrum of selfadjoint operators, whic...
We define the independence ratio and the chromatic number for bounded, self-adjoint operators on an ...
Abstract.: We give the spectral representation for a class of selfadjoint discrete graph Laplacians ...
On utilizing the spectral representation of self-adjoint operators in Hilbert spaces, some inequali...
We give the spectral representation for a class of selfadjoint discrete graph Laplacians Delta, with...
This note is an expanded version of the author'scontribution to the Proceedings of the ICMP Santiag...
We prove persistence of absolutely continuous spectrum for the Ander-son model on a general class of...