The Level Curves of Harmonic Functions
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Publication:5521004
DOI10.2307/1994665zbMath0144.36405OpenAlexW4241109467MaRDI QIDQ5521004
Harold S. Shapiro, Donald J. Newman, Leopold Flatto
Publication date: 1966
Full work available at URL: https://doi.org/10.2307/1994665
Related Items (18)
Unique continuation on quadratic curves for harmonic functions ⋮ Certain Hilbert spaces of entire functions ⋮ Cauchy, Goursat and Dirichlet problems for holomorphic partial differential equations ⋮ Mathematics of thermoacoustic tomography ⋮ Some geometric conjectures in harmonic function theory ⋮ Finite-harmonic interpolation ⋮ Submanifolds that are level sets of solutions to a second-order elliptic PDE ⋮ The magnetic field of a plane current sheet with piecewise uniform electrical conductivity, with results for three insertions ⋮ Heisenberg uniqueness pairs for some algebraic curves in the plane ⋮ The family of level sets of a harmonic function ⋮ Quadratic divisors of harmonic polynomials in \(\mathbb{R}^n\) ⋮ 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 ⋮ Topological monsters in elliptic equations and spectral theory ⋮ Asymptotic tracts of harmonic functions II ⋮ A uniqueness theorem for harmonic functions ⋮ Fischer decompositions for entire functions and the Dirichlet problem for parabolas ⋮ Polynomial solutions to Dirichlet problems
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