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Article
Open AccessUniqueness theorems for weighted harmonic functions in the upper half-plane
We consider a class of weighted harmonic functions in the open upper half-plane known as α-harmonic functions. Of particular interest is the uniqueness problem for such functions subject to a vanishing Dirichlet ...
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Article
Open AccessComplex Eigenvalue Splitting for the Dirac Operator
We analyze the eigenvalue problem for the semiclassical Dirac (or Zakharov–Shabat) operator on the real line with general analytic potential. We provide Bohr–Sommerfeld quantization conditions near energy leve...