The theories of signal sampling, filter banks, wavelets and "overcomplete wavelets" are well-established for the Euclidean spaces and are widely used in the processing a...
Guided acoustic waves propagating along one- and two-dimensional arrays of rigid spheres are studied semi-analytically. The quasi-periodic wave field is constructed as a superposi...
This paper examines sparse grid quadrature on weighted tensor products (wtp) of reproducing kernel Hilbert spaces on products of the unit sphere S2 . We describe a wtp quadrature ...
We prove existence and uniqueness of the minimizer for the average geodesic distance to the points of a geodesically convex set on the sphere. This implies a corresponding existen...
We prove that four spheres in R3 have infinitely many real common tangents if and only if they have aligned centers and at least one real common tangent.