@article{Tarkhanov2016,
  author    = {Tarkhanov, Nikolai Nikolaevich},
  title     = {Deformation quantization and boundary value problems},
  series = {International journal of geometric methods in modern physics : differential geometery, algebraic geometery, global analysis \& topology},
  volume    = {13},
  journal   = {International journal of geometric methods in modern physics : differential geometery, algebraic geometery, global analysis \& topology},
  publisher = {World Scientific},
  address   = {Singapore},
  issn      = {0219-8878},
  doi       = {10.1142/S0219887816500079},
  pages     = {176 -- 195},
  year      = {2016},
  abstract  = {We describe a natural construction of deformation quantization on a compact symplectic manifold with boundary. On the algebra of quantum observables a trace functional is defined which as usual annihilates the commutators. This gives rise to an index as the trace of the unity element. We formulate the index theorem as a conjecture and examine it by the classical harmonic oscillator.},
  language  = {en}
}
@article{LyTarkhanov2016,
  author    = {Ly, Ibrahim and Tarkhanov, Nikolai Nikolaevich},
  title     = {A Rado theorem for p-harmonic functions},
  series = {Boletin de la Sociedad Matem{\~A}!'tica Mexicana},
  volume    = {22},
  journal   = {Boletin de la Sociedad Matem{\~A}!'tica Mexicana},
  publisher = {Springer},
  address   = {Basel},
  issn      = {1405-213X},
  doi       = {10.1007/s40590-016-0109-7},
  pages     = {461 -- 472},
  year      = {2016},
  abstract  = {Let A be a nonlinear differential operator on an open set X subset of R-n and S a closed subset of X. Given a class F of functions in X, the set S is said to be removable for F relative to A if any weak solution of A(u) = 0 in XS of class F satisfies this equation weakly in all of X. For the most extensively studied classes F, we show conditions on S which guarantee that S is removable for F relative to A.},
  language  = {en}
}