21 citations · 103 across the 27 of their papers we have counts for
4 papers · 1 filter
Asymptotic analysis of operator families and applications to resonant media
Kirill D. Cherednichenko, Yulia Yu. Ershova, Alexander V. Kiselev +2
We give an overview of operator-theoretic tools that have recently proved useful in the analysis of boundary-value and transmission problems for second-order partial differential e…
Functional model for extensions of symmetric operators and applications to scattering theory
Kirill D. Cherednichenko, Alexander V. Kiselev, Luis O. Silva
On the basis of the explicit formulae for the action of the unitary group of exponentials corresponding to almost solvable extensions of a given closed symmetric operator with equa…
Singular Schroedinger operators as self-adjoint extensions of n-entire operators
Luis O. Silva, Gerald Teschl, Julio H. Toloza
We investigate the connections between Weyl-Titchmarsh-Kodaira theory for one-dimensional Schrödinger operators and the theory of -entire operators. As our main result we find a…
Applications of M.G. Krein's Theory of Regular Symmetric Operators to Sampling Theory
Luis O. Silva, Julio H. Toloza
The classical Kramer sampling theorem establishes general conditions that allow the reconstruction of functions by mean of orthogonal sampling formulae. One major task in sampling…