52 citations · 83 across the 15 of their papers we have counts for
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An evolution equation as the WKB correction in long-time asymptotics of Schrodinger dynamics
Sergey A. Denisov
We consider 3d Schrodinger operator with long-range potential that has short-range radial derivative. The long-time asymptotics of non-stationary problem is studied and existence o…
Continuous analogs of polynomials orthogonal on the unit circle. Krein systems
Sergey A. Denisov
This survey contains the introduction to the subject. Many new results are also included.
Schrodinger operators and associated hyperbolic pencils
Sergey A. Denisov
For a large class of Schrodinger operators, we introduce the hyperbolic quadratic pencils by making the coupling constant dependent on the energy in the very special way. For these…
On a conjecture by Y. Last
Sergey A. Denisov
We prove a conjecture due to Y. Last on Jacobi matrices.
Infinite superlinear growth of the gradient for the two-dimensional Euler equation
Sergey A. Denisov
For two-dimensional Euler equation on the torus, we prove that the uniform norm of the gradient can grow superlinearly for some infinitely smooth initial data. We also show the exp…
Weak asymptotics for Schrodinger evolution
Sergey A. Denisov
We apply technique developed in [2] to study the long-time behavior of Schrodinger evolution.