121 citations · 392 across the 18 of their papers we have counts for
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math.SP2009★ 6 cited
Inverse scattering on the line for Schrödinger operators with Miura potentials, II. Different Riccati representatives
R. O. Hryniv, Ya. V. Mykytyuk, P. A. Perry
This is the second in a series of papers on scattering theory for one-dimensional Schrödinger operators with Miura potentials admitting a Riccati representation of the form $q=u'+u…
math.SP2009★ 10 cited
Inverse scattering for Schrödinger operators with Miura potentials, I. Unique Riccati representatives and ZS-AKNS systems
C. Frayer, R. O. Hryniv, Ya. V. Mykytyuk +1
This is the first in a series of papers on scattering theory for one-dimensional Schrödinger operators with highly singular potentials . In this paper, we study Miu…
math.SP2009★ 25 cited
Inverse spectral problems for Sturm--Liouville operators with matrix-valued potentials
Ya. V. Mykytyuk, N. S. Trush
We give a complete description of the set of spectral data (eigenvalues and specially introduced norming constants) for Sturm--Liouville operators on the interval with matr…