Analytic continuation across a linear boundary

DOI10.1007/BF02392164zbMath0235.30003MaRDI QIDQ2551848

Arne Beurling

Publication date: 1972

Published in: Acta Mathematica (Search for Journal in Brave)

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Analytic continuation of functions of one complex variable (30B40)

Related Items (32)

Completeness of translates in weighted spaces on the half-line ⋮ Representation of analytic functions by exponential series in half-plane with given growth majorant ⋮ Arne Beurling in memoriam ⋮ On a Problem of Beurling ⋮ Unique continuation of microlocally analytic functions and their structure ⋮ Point evaluations, invariant subspaces and approximation in the mean by polynomials ⋮ Sectorial extensions for ultraholomorphic classes defined by weight functions ⋮ Almost holomorphic extensions of ultradifferentiable functions ⋮ Completely indecomposable operators and a uniqueness theorem of Cartwright-Levinson type ⋮ On approximation by translates and related problems in function theory ⋮ A universal criterion for quasi-analytic classes in Jordan domains ⋮ Oscillation of Fourier integrals with a spectral gap. ⋮ On the higher-dimensional harmonic analog of the Levinson \(\log\log\) theorem ⋮ Sectorial extensions, via Laplace transforms, in ultraholomorphic classes defined by weight functions ⋮ Weighted polynomial approximation, quasianalyticity and analytic continuation. ⋮ A local edge of the wedge theorem ⋮ Maximal, minimal, and primary invariant subspaces ⋮ Approximation in the mean by polynomials on non-Caratheodory domains ⋮ Boundary properties of holomorphic functions of several complex variables ⋮ On a conjecture of Mergelyan ⋮ On the construction of large algebras not contained in the image of the Borel map ⋮ Wiener's tauberian theorem for spherical functions on the automorphism group of the unit disk ⋮ An asymptotic Cauchy problem for the Laplace equation ⋮ A bilogarithmic criterion for the existence of a regular minorant that does not satisfy the bang condition ⋮ Classical and new loglog-theorems ⋮ Existence de sous-espaces hyper-invariants ⋮ Analytic continuation and stability of operator semigroups ⋮ An elliptic adaptation of ideas of Carleman and Domar from complex analysis related to Levinson’s loglog theorem ⋮ Indices of O-regular variation for weight functions and weight sequences ⋮ On the primary ideal structure at infinity for analytic Beurling algebras ⋮ Polynomially bounded multisequences and analytic continuation ⋮ The Cauchy integral and analytic continuation

Cites Work

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• Théorie des distributions à valeurs vectorielles
• Linear partial differential operators and generalized distributions
• Generalization of the ``Edge-of-the-Wedge Theorem

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