Zero Integrals on Circles and Characterizations of Harmonic and Analytic Functions

DOI10.2307/2001464zbMath0701.30041OpenAlexW4243819352MaRDI QIDQ3478684

Josip Globevnik

Publication date: 1990

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

zbMATH Keywords

Radon transformsharmonic functionsMorera-type

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Radon transform (44A12) Integral geometry (53C65) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

Related Items (5)

Analogs of the Globevnik problem on Riemannian two-point homogeneous spaces ⋮ A decomposition of functions with zero means on circles ⋮ Spherical means in annular regions in the \(n\)-dimensional real hyperbolic spaces ⋮ Integrals over circles passing through the origin and a characterization of analytic functions ⋮ One problem connected with the Helgason support problem

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
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Zero Integrals on Circles and Characterizations of Harmonic and Analytic Functions