@article{Roos2019,
  author    = {Roos, Saskia},
  title     = {The Dirac operator under collapse to a smooth limit space},
  series = {Annals of global analysis and geometry},
  volume    = {57},
  journal   = {Annals of global analysis and geometry},
  number    = {1},
  publisher = {Springer},
  address   = {Dordrecht},
  issn      = {0232-704X},
  doi       = {10.1007/s10455-019-09691-8},
  pages     = {121 -- 151},
  year      = {2019},
  abstract  = {Let (M-i, g(i))(i is an element of N) be a sequence of spin manifolds with uniform bounded curvature and diameter that converges to a lower-dimensional Riemannian manifold (B, h) in the Gromov-Hausdorff topology. Then, it happens that the spectrum of the Dirac operator converges to the spectrum of a certain first-order elliptic differential operator D-B on B. We give an explicit description of D-B and characterize the special case where D-B equals the Dirac operator on B.},
  language  = {en}
}
@article{BandaraRosen2019,
  author    = {Bandara, Menaka Lashitha and Rosen, Andreas},
  title     = {Riesz continuity of the Atiyah-Singer Dirac operator under perturbations of local boundary conditions},
  series = {Communications in partial differential equations},
  volume    = {44},
  journal   = {Communications in partial differential equations},
  number    = {12},
  publisher = {Taylor \& Francis Group},
  address   = {Philadelphia},
  issn      = {0360-5302},
  doi       = {10.1080/03605302.2019.1611847},
  pages     = {1253 -- 1284},
  year      = {2019},
  abstract  = {On a smooth complete Riemannian spin manifold with smooth compact boundary, we demonstrate that Atiyah-Singer Dirac operator in depends Riesz continuously on perturbations of local boundary conditions The Lipschitz bound for the map depends on Lipschitz smoothness and ellipticity of and bounds on Ricci curvature and its first derivatives as well as a lower bound on injectivity radius away from a compact neighbourhood of the boundary. More generally, we prove perturbation estimates for functional calculi of elliptic operators on manifolds with local boundary conditions.},
  language  = {en}
}
@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}
}