Ville Uski
Loughborough University
7 Papers
60 Citations
Ville Uski is an academic researcher from Loughborough University. The author has contributed to research in topics: Eigenfunction & Eigenvalues and eigenvectors. The author has an hindex of 4, co-authored 7 publications.
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Papers
An Algorithm for the Computation of Eigenvalues, Spectral Zeta Functions and Zeta-Determinants on Hyperbolic Surfaces
Alexander Strohmaier,Ville Uski +1 more
TL;DR: In this paper, the authors present a rigorous scheme that makes it possible to compute eigenvalues of the Laplace operator on hyperbolic surfaces within a given precision, based on an adaptation of the method of particular solutions to the case of locally symmetric spaces and on explicit estimates for the approximation of eigenfunctions on hyperspheres by certain basis functions.
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An Algorithm for the Computation of Eigenvalues, Spectral Zeta Functions and Zeta-Determinants on Hyperbolic Surfaces
Alexander Strohmaier,Ville Uski +1 more
TL;DR: A rigorous scheme that makes it possible to compute eigenvalues of the Laplace operator on hyperbolic surfaces within a given precision with rigorous error estimates is presented.
33
Analysis of Schrödinger operators with inverse square potentials II: FEM and approximation of eigenfunctions in the periodic case
TL;DR: In this article, the authors obtained regularity results in weighted Sobolev space for the eigenfunctions of the Schrodinger type operator H = + V acting on L 2 (T), as well as for the induced k{Hamiltonians Hk obtained by resticting the action of H to Bloch waves.
•Journal Article
Analysis of Schrödinger operators with inverse square potentials I: regularity results in 3D
TL;DR: In this paper, a potential on R 3 that is smooth everywhere except at a discrete set S of points, where it has singularities of the form Z/½ 2, with ½(x) = |x i p| for x close to p and Z(p) > i 1/4 for p 2 S.
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•Posted Content
Analysis of Schr\"odinger operators with inverse square potentials {II}: FEM and approximation of eigenfunctions in the periodic case
TL;DR: In this article, the authors obtained regularity results in weighted Sobolev space for the eigenfunctions of the Schr\"odinger-type operator $H = -\Delta + V$ acting on the periodicity lattice and for the induced Hamiltonians.
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