Representation of Holomorphic Functions by Boundary Integrals

DOI10.2307/1995789zbMath0225.30044OpenAlexW4253932203MaRDI QIDQ5631399

Albert II Baernstein

Publication date: 1971

Full work available at URL: https://doi.org/10.2307/1995789

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Finely holomorphic functions and topological function theory (30G12)

Related Items

Each non-zero convolution operator on the entire functions admits a continuous linear right inverse, Sequence space representations for weighted solution spaces of hypoelliptic systems of partial differential operators, Weighted inductive and projective limits of normed Köthe function spaces, An Integral Representation of Holomorphic Functions, Localizable Analytically Uniform Spaces and the Fundamental Principle, The overdetermined Cauchy problem, A Representation Theorem for Functions Holomorphic Off the Real Axis, Solvability of convolution equations in the Beurling spaces of ultradifferentiable functions of mean type on an interval, Closed graph theorems for generalized inductive limit topologies, A Projective Description of Weighted Inductive Limits, Über einen Homomorphiesatz von G. Köthe, Whitney's extension theorem for ultradifferentiable functions of Beurling type, Golubev series for solutions of elliptic equations, A Banach-Dieudonné theorem for germs of holomorphic functions

Cites Work

• Harmonic functions on the unit disc. I, II
• Sur quelques extensions de la notion de distribution
• Dualität in der Funktionentheorie.
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