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20092019
most citedLower Bounds For The First Eigenvalue Of The Laplacian With Dirichlet Boundary Conditions In A Hyperbolic Space Of A Negative Constant Curvature

2 citations · 4 across the 5 of their papers we have counts for

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math.DG2019

At Most Two Radii Theorem For A Real Eigenvalue Of The Hyperbolic Laplacian

Sergei Artamoshin

We study a -dimensional hyperbolic space of a negative constant sectional curvature . Let be a real eigenvalue and be an eigenfunction of the hyperbo…

math.DG2014

One Radius Theorem For A Radial Eigenfunction Of A Hyperbolic Laplacian

Sergei Artamoshin

Let us fix two different radial eigenfunctions of a hyperbolic Laplacian and assume that both of them have the same value at the origin. Both eigenvalues can be complex numbers. Th…

math.DG2014★ 2 cited

Lower Bounds For The First Eigenvalue Of The Laplacian With Dirichlet Boundary Conditions In A Hyperbolic Space Of A Negative Constant Curvature

Sergei Artamoshin

In this paper we consider a domain in a space of negative constant sectional curvature. Such assumption about the sectional curvature let us develop a new technique and improve exi…

math.DG2009★ 1 cited

Geometric Interpretation of the two dimensional Poisson Kernel and its applications

Sergei Artamoshin

Hermann Schwarz, while studying complex analysis, introduced the geometric interpretation for the Poisson kernel in 1890. We shall see here that the geometric interpretation can be…