@article{AlsaedyTarkhanov2017,
  author    = {Alsaedy, Ammar and Tarkhanov, Nikolai Nikolaevich},
  title     = {A Hilbert Boundary Value Problem for Generalised Cauchy-Riemann Equations},
  series = {Advances in applied Clifford algebras},
  volume    = {27},
  journal   = {Advances in applied Clifford algebras},
  publisher = {Springer},
  address   = {Basel},
  issn      = {0188-7009},
  doi       = {10.1007/s00006-016-0676-8},
  pages     = {931 -- 953},
  year      = {2017},
  abstract  = {We elaborate a boundary Fourier method for studying an analogue of the Hilbert problem for analytic functions within the framework of generalised Cauchy-Riemann equations. The boundary value problem need not satisfy the Shapiro-Lopatinskij condition and so it fails to be Fredholm in Sobolev spaces. We show a solvability condition of the Hilbert problem, which looks like those for ill-posed problems, and construct an explicit formula for approximate solutions.},
  language  = {en}
}