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31Axx

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Two-dimensional theory

  • 31A05 Harmonic, subharmonic, superharmonic functions
  • 31A10 Integral representations, integral operators, integral equations methods
  • 31A15 Potentials and capacity, harmonic measure, extremal length [See also 30C85]
  • 31A20 Boundary behavior (theorems of Fatou type, etc.)
  • 31A25 Boundary value and inverse problems
  • 31A30 Biharmonic, polyharmonic functions and equations, Poisson's equation
  • 31A35 Connections with differential equations
  • 31A99 None of the above, but in this section