Algebraic points on cubic hypersurfaces
D. Coray (1976)
Acta Arithmetica
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D. Coray (1976)
Acta Arithmetica
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K. Roth (1973)
Acta Arithmetica
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J. Coates (1970)
Acta Arithmetica
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Andreas Seeger (1990)
Studia Mathematica
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Leszek Skrzypczak (1997)
Studia Mathematica
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We give the atomic decomposition of the inhomogeneous Besov spaces defined on symmetric Riemannian spaces of noncompact type. As an application we get a theorem of Bernstein type for the Helgason-Fourier transform.
Krzysztof Bogdan, Tomasz Byczkowski (1999)
Studia Mathematica
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The purpose of the paper is to extend results of the potential theory of the classical Schrödinger operator to the α-stable case. To obtain this we analyze a weak version of the Schrödinger operator based on the fractional Laplacian and we prove the Conditional Gauge Theorem.
Martin Eichler (1977)
Acta Arithmetica
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Grzegorz Łysik (1991)
Studia Mathematica
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Krzysztof Bogdan (1997)
Studia Mathematica
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We study nonnegative functions which are harmonic on a Lipschitz domain with respect to symmetric stable processes. We prove that if two such functions vanish continuously outside the domain near a part of its boundary, then their ratio is bounded near this part of the boundary.