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Y. Mykytyuk

7 papers hereh-index 201.1k citations47 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • last author7

Across the 7 of 7 papers where every author was matched, so the position is known.

fields
  • math.SP4
  • math.FA2
  • math.CV1

identity via Semantic Scholar / OpenAlex

activity
20002004
most citedInverse spectral problems for Sturm-Liouville operators with singular potentials

121 citations · 159 across the 4 of their papers we have counts for

collaborators
Showing math.SPShow all

4 papers · 1 filter

math.SP2003★ 6 cited

Inverse spectral problems for Sturm-Liouville operators with singular potentials, II. Reconstruction by two spectra

R. O. Hryniv, Ya. V. Mykytyuk

We solve the inverse spectral problem of recovering the singular potentials q∈W2−1​(0,1) of Sturm-Liouville operators by two spectra. The reconstruction algorithm is pres…

math.SP2002★ 121 cited

Inverse spectral problems for Sturm-Liouville operators with singular potentials

R. O. Hryniv, Ya. V. Mykytyuk

The inverse spectral problem is solved for the class of Sturm-Liouville operators with singular real-valued potentials from the space W2−1​(0,1). The potential is recovered vi…

math.SP2001

Schrödinger operators with singular Gordon potentials

Rostyslav O. Hryniv, Yaroslav V. Mykytyuk

Singular Gordon potentials are defined to be distributions from the space W^{-1}_{2,unif}(R) that are sufficiently fast approximated by periodic ones. We prove that Schrödinger ope…

math.SP2001

Schrödinger Operators with Periodic Singular Potentials

Rostyslav O. Hryniv, Yaroslav V. Mykytyuk

We show that formal Schrödinger operators with singular potentials from the space W^{-1}_{2,unif}(R) can be naturally defined to give selfadjoint and bounded below operators, which…

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