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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.CV2014★ 1 cited
The Spherical Ratio of Two Points and its Integral Properties
Sergei Artamoshin
At the end of 19-th century, 1874, Hermann Schwartz found that for every point inside a planar disk, a two-dimensional Poisson Kernel can be written as a ratio of two segments, whi…
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…