Analogues of the problem of analytic continuation from circles for some differential equations

DOI10.1134/S1064562410040216zbMath1203.35077OpenAlexW2086314550MaRDI QIDQ600752

Oksana Aleksandrovna Ochakovskaya

Publication date: 1 November 2010

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562410040216

zbMATH Keywords

\(P\)-extension conditionhomogeneous harmonic polynomial

Mathematics Subject Classification ID

Continuation and prolongation of solutions to PDEs (35B60) Boundary value problems for linear higher-order PDEs (35G15)

Cites Work

• Morera type theorems on the unit disc
• Holomorphic functions on rotation invariant families of curves passing through the origin
• Analyticity on circles for rational and real-analytic functions of two real variables
• Maximality of invariant algebras of functions
• Analyticity and the Pompeiu problem
• Holomorphic extensions from open families of circles

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