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The Riemann problem with additional singularities

Spectral Theory 2007-05-23 v1 Mathematical Physics math.MP

Abstract

The Riemann problem is studied in the case when the unknown function has nonisolated singularities, concentrated on the real axis. The problem is used for the factorization of functions, holomorphic outside of the unit circle and the real axis, in the form of the product of two functions which have singulariries on the given set of the real axis.

Keywords

Cite

@article{arxiv.math/0110242,
  title  = {The Riemann problem with additional singularities},
  author = {Mikhail Kudryavtsev},
  journal= {arXiv preprint arXiv:math/0110242},
  year   = {2007}
}

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10 pages