Integrals over circles passing through the origin and a characterization of analytic functions

DOI10.1007/BF02820478zbMath0676.30003OpenAlexW2331338169MaRDI QIDQ1122680

Josip Globevnik

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf02820478

Mathematics Subject Classification ID

General properties of functions of one complex variable (30A99)

Related Items (5)

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 ⋮ Analyticity on families of circles ⋮ Morera theorems via microlocal analysis ⋮ Morera theorems for complex manifolds

Cites Work

• A local version of the two-circles theorem
• 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
• A Radon Transform on Spheres Through the Origin in R n and Applications to the Darboux Equation
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