120 citations · 504 across the 13 of their papers we have counts for
13 papers
On the McLaughlin-Rundell theorem
Namig J. Guliyev
We give a one-sentence proof of McLaughlin and Rundell's inverse uniqueness theorem.
Approximation capability of two hidden layer feedforward neural networks with fixed weights
Namig J. Guliyev, Vugar E. Ismailov
We algorithmically construct a two hidden layer feedforward neural network (TLFN) model with the weights fixed as the unit coordinate vectors of the -dimensional Euclidean space…
Inverse square singularities and eigenparameter dependent boundary conditions are two sides of the same coin
Namig J. Guliyev
We show that inverse square singularities can be treated as boundary conditions containing rational Herglotz--Nevanlinna functions of the eigenvalue parameter with "a negative numb…
Spectral identities for Schrödinger operators
Namig J. Guliyev
We obtain a system of identities relating boundary coefficients and spectral data for the one-dimensional Schrödinger equation with boundary conditions containing rational Herglotz…
A Riesz basis criterion for Schrödinger operators with boundary conditions dependent on the eigenvalue parameter
Namig J. Guliyev
We establish a criterion for a set of eigenfunctions of the one-dimensional Schrödinger operator with distributional potentials and boundary conditions containing the eigenvalue pa…
On extensions of symmetric operators
Namig J. Guliyev
We give an explicit description of all minimal self-adjoint extensions of a densely defined, closed symmetric operator in a Hilbert space with deficiency indices .