18 citations · 48 across the 13 of their papers we have counts for
15 papers
Asymptotic Schur orthogonality for lattices
A. BENDIKOV, A. BOYER, CH. PITTET
Let be the boundary representation of a non-compact connected semisimple Lie group with finite center on its Furstenberg-Poisson boundary $(G…
Braiding and asymptotic Schur's orthogonality
A. Bendikov, A. Boyer, Ch. Pittet
Let be a unitary representation of a locally compact group. The braiding operator , which flips…
Random walks on a finite group and the Frobenius-Schur theorem
Olexandr Vyshnevetskiy, Alexander Bendikov
We consider random walk on a finite group as follows. We can consider as a group of substitutions. Randomly (i.e. with probability ) we choose a substitutio…
On the spectrum of the hierarchical Schrödinger type operators
Alexander Bendikov, Alexander Grigor'yan, Stanislav Molchanov
The goal of this paper is the spectral analysis of the Schrödinger type operator , the perturbation of the Taibleson-Vladimirov multiplier by a potential…
Hierarchical Schrödinger-type operators: the case of potentials with local singularities
Alexander Bendikov, Alexander Grigor'yan, Stanislav Molchanov
The goal of this paper is twofold. We prove that the operator , a perturbation of the Taibleson-Vladimirov multiplier by a potential $V(x)=b\left\Vert x\…
On the spectrum of the hierarchical Schrödinger operator
Alexander Bendikov, Alexander Grigor'yan, Stanislav Molchanov
The goal of this paper is the spectral analysis of the Schrödinger operator , the perturbation of the Taibleson-Vladimirov multiplier by a potential .…