7 citations · 19 across the 5 of their papers we have counts for
4 papers · 1 filter
Fundamental solutions to elliptic equations with discontinuous senior coefficients and an inequlity for these solutions
A. G. Ramm
Asymptotic formula is derived for the behavior of the fundamental solution of the second-order elliptic self-adjoint operator with a piecewise-smooth coefficient in front of the se…
Remark on the theory of reproducing kernels
A. G. Ramm
Foundations of the theory of Hilbert spaces with reproducing kernels are discussed. It is demonstrated that the claims in the papers of S.Saitoh and in his book "Theory of reproduc…
Krein's method in inverse scattering
A. G. Ramm
A detailed discussion of the Krein's results (applicable for solving the inverse scattering problem) is given with complete proofs.
An inverse problem for point inhomogeneities
F. Gesztesy, A. G. Ramm
We study quantum scattering theory off point inhomogeneities () in three dimensions. The inhomogeneities (or generalized point interactions) positioned at $\{ξ_1,...,…