Titlebook: Approximation by Solutions of Partial Differential Equations; B. Fuglede,M. Goldstein,L. Rogge Book 1992 Springer Science+Business Media D

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Weighted ,, Approximation by Holomorphic Functions, the complex plane to be dense in the set of functions continuous on . and holomorphic on the interior of ., when equipped with the topology of uniform convergence. The conditions, which depend on ., are in terms of a planar set function called the continuous analytic capacity. Different authors hav

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Finely Open Sets in the Limit Set of a Finitely Generated Kleinian Group, empty fine interior or the capacity of ?.. is zero. In particular the limit set has empty fine interior unless it is equal to ?.. The method extends to related examples such as the iteration of rational functions and suggests a strong form of Ahlfors conjecture; the proof is strictly two dimensiona

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Mean Value Theorems and Best ,,-Approximation,ual) two functions .. and .. are identified if they are equal Lebesgue a.e.. Further, let . be a vector subspace of ..(.) and suppose that . ? ..(.) ., and that .* ? .. Then .* is called a ...-... if and only if‖.? .*‖. ≥ ‖. ? .‖... ? ..

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The Role of the Hilbert Transform in 2-Dimensional Aerodynamics, known that the Hilbert transform . plays an important role in various areas of aerodynamics for thin obstacles [4], and in this note we show, as an application of ., how to define the natural steady flows outside a thin obstacle.

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Approximation by Harmonic Functions and the Dirichlet Problem,1 recalls basic notions of the theory of harmonic spaces representing a good framework for the subject under consideration. In Section 2 the question of approximation of harmonic functions by single layer potentials is investigated. Section 3 deals with pervasive function spaces and harmonic approxi

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Approximation by Solutions of Partial Differential Equations978-94-011-2436-2Series ISSN 1389-2185

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https://doi.org/10.1007/978-3-642-70473-4theorems for better than uniform harmonic approximation on . and applications of these theorems to the study of growth and decay properties of entire harmonic and entire holo-morphic functions along rays, the classical Dirichlet problem, and the theory of the Radon transform.

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H. Lindemann,F. Keller,H. G. Velcovskyual) two functions .. and .. are identified if they are equal Lebesgue a.e.. Further, let . be a vector subspace of ..(.) and suppose that . ? ..(.) ., and that .* ? .. Then .* is called a ...-... if and only if‖.? .*‖. ≥ ‖. ? .‖... ? ..