Analyticity on circles for rational and real-analytic functions of two real variables

DOI10.1007/BF02788781zbMath1048.30001MaRDI QIDQ1880924

Josip Globevnik, Mark L. Agranovsky

Publication date: 27 September 2004

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Mathematics Subject Classification ID

Real-analytic functions (26E05) Analytic continuation of functions of one complex variable (30B40)

Related Items (16)

Analyticity on families of circles ⋮ HARTOGS' SEPARATE ANALYTICITY THEOREM FOR CR FUNCTIONS ⋮ Holomorphic extensions from open families of circles ⋮ Leon Ehrenpreis, Recollections from the Recent Decades ⋮ Analyticity on Curves ⋮ Analogues of the problem of analytic continuation from circles for some differential equations ⋮ Propagation of boundary CR foliations and Morera type theorems for manifolds with attached analytic discs ⋮ Testing holomorphy on curves ⋮ Bergman-Szegő asymptotic formulas and the strip problem ⋮ Holomorphic functions on subsets of \({\mathbb C}\) ⋮ Parametric argument principle and its applications to CR functions and manifolds ⋮ Characterization of polyanalytic functions by meromorphic extensions from chains of circles ⋮ Analyticity on translates of a Jordan curve ⋮ CR foliations, the strip-problem and Globevnik-Stout conjecture ⋮ Analyticity of functions analytic on circles ⋮ Meromorphic extensions from small families of circles and holomorphic extensions from spheres

Cites Work

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• Holomorphy on a unitarily invariant family of curves in \({\mathbb{C}}^ n\)
• Integrals over circles passing through the origin and a characterization of analytic functions
• Holomorphic functions on rotation invariant families of curves passing through the origin
• Quadrature identities and the Schottky double
• Maximality of invariant algebras of functions
• Analyticity and the Pompeiu problem
• Zero Integrals on Circles and Characterizations of Harmonic and Analytic Functions
• Analyticity on Rotation Invariant Families of Curves
• Testing Analyticity on Rotation Invariant Families of Curves
• Holomorphic extensions and rotation lnvariance

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