Functional equations and harmonic extensions
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Publication:4293651
DOI10.1080/17476939408814705zbMath0793.30002OpenAlexW2051035967MaRDI QIDQ4293651
Lowell J. Hansen, Harold S. Shapiro
Publication date: 7 July 1994
Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17476939408814705
Boundary value and inverse problems for harmonic functions in higher dimensions (31B20) Analytic continuation of functions of one complex variable (30B40)
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Algebraicity in the Dirichlet problem in the plane with rational data ⋮ Range descriptions for the spherical mean Radon transform ⋮ Dirichlet's problem and complex lightning bolts ⋮ A characterization of the Khavinson-Shapiro conjecture via Fischer operators ⋮ Cauchy, Goursat and Dirichlet problems for holomorphic partial differential equations ⋮ The Khavinson-Shapiro conjecture and polynomial decompositions ⋮ Real Bargmann spaces, Fischer decompositions, and sets of uniqueness for polyharmonic functions ⋮ The Khavinson-Shapiro conjecture for domains with a boundary consisting of algebraic hypersurfaces ⋮ Reflection formulas and continuation of solutions of boundary-value problems ⋮ On the classical Dirichlet problem in the plane with rational data ⋮ Fischer decompositions for entire functions and the Dirichlet problem for parabolas ⋮ Polynomial solutions to Dirichlet problems
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