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On Malyshev's method of automorphic functions in diffraction by wedges

Mathematical Physics 2025-12-16 v4 math.MP

Abstract

We describe Malyshev's method of automorphic functions in application to boundary value problems in angles and to diffraction by wedges. We give a consize survey of related results of A. Sommerfeld, S.L. Sobolev, J.B. Keller, G.E. Shilov and others.

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Cite

@article{arxiv.2312.15287,
  title  = {On Malyshev's method of automorphic functions in diffraction by wedges},
  author = {Alexander Komech and Anatoli Merzon},
  journal= {arXiv preprint arXiv:2312.15287},
  year   = {2025}
}

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15 pages