Zero Integrals on Circles and Characterizations of Harmonic and Analytic Functions

DOI10.2307/2001464zbMath0696.31001OpenAlexW4243819352MaRDI QIDQ3472371

Josip Globevnik

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2001464

zbMATH Keywords

Radon transformanalytic functionsharmonic functionsMorera-type

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05)

Related Items

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 ⋮ Morera theorems via microlocal analysis ⋮ A boundary Morera theorem ⋮ Morera theorems for complex manifolds

Cites Work

• The Radon transform
• 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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