6 citations · 7 across the 5 of their papers we have counts for
6 papers
A new representation of Hankel operators and its spectral consequences
D. R. Yafaev
We describe a new representation of Hankel operators as pseudo-differential operators in the space of functions defined on the whole axis. The amplitudes of such operators…
Spectral and scattering theory for differential and Hankel operators
Dmitri Yafaev
We consider a class of Hankel operators realized in the space as integral operators with kernels where and $P(X)= X^n+p_…
Criteria for Hankel operators to be sign-definite
D. R. Yafaev
We show that total multiplicities of negative and positive spectra of a self-adjoint Hankel operator with kernel and of an operator of multiplication by some real functi…
A commutator method for the diagonalization of Hankel operators
D. R. Yafaev
We present a method for the explicit diagonalization of some Hankel operators. This method allows us to recover classical results on the diagonalization of Hankel operators with th…
A generalized virial theorem and the balance of kinetic and potential energies in the semiclassical limit
D. R. Yafaev
We obtain two-sided bounds on kinetic and potential energies of a bound state of a quantum particle in the semiclassical limit, as the Planck constant $\hbar\ri 0$. Proofs of these…
A particle in the Bio-Savart-Laplace magnetic field: explicit solutions
D. Yafaev
We consider the Schrödinger operator in the space with a magnetic potential created by an infinite straight current. We perform a…