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An asymptotic Cauchy problem for the Laplace equation

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Publication:1815437
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DOI10.1007/BF02559547zbMath0865.35037OpenAlexW1555335379MaRDI QIDQ1815437

Evsey Dyn'kin

Publication date: 12 December 1996

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02559547


zbMATH Keywords

asymptotic solutionintegral representationsharmonic extensionadmissible solutionquasianalytic functionsLevinson type theorem


Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)


Related Items (3)

Cauchy integral decomposition for harmonic forms ⋮ On the higher-dimensional harmonic analog of the Levinson \(\log\log\) theorem ⋮ Classical and new loglog-theorems



Cites Work

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  • On the existence of a largest subharmonic minorant of a given function
  • The pseudoanalytic extension
  • Analytic continuation across a linear boundary
  • Uniform Boundedness in Families Related to Subharmonic Functions


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