An asymptotic series expansion of the multidimensional renewal measure
Hasse Carlsson, Stephen Wainger (1982)
Compositio Mathematica
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Displaying similar documents to “Error estimates in -dimensional renewal theory”
An asymptotic series expansion of the multidimensional renewal measure
A Cantor-Lebesgue theorem for double trigonometric series
A. Zygmund (1972)
Studia Mathematica
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Two problems associated with convex finite type domains.
Alexander Iosevich, Eric Sawyer, Andreas Seeger (2002)
Publicacions Matemàtiques
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We use scaling properties of convex surfaces of finite line type to derive new estimates for two problems arising in harmonic analysis. For Riesz means associated to such surfaces we obtain sharp L estimates for p > 4, generalizing the Carleson-Sjölin theorem. Moreover we obtain estimates for the remainder term in the lattice point problem associated to convex bodies; these estimates are sharp in some instances involving sufficiently flat boundaries.
On lattice homomorphisms on Kothe function spaces.
BALTASAR RODRÍGUEZ-SALINAS (1999)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Asymptotic expansions in renewal theory
B. B. Van der Genugten (1969)
Compositio Mathematica
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Quantitative estimates of N.N. Luzin's C-property for classes of integrable functions
K. Oskolkow (1979)
Banach Center Publications
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Ω-estimates in lattice point theory
Bohuslav Diviš (1979)
Acta Arithmetica
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Asymptotics of variance of the lattice point count
Jiří Janáček (2008)
Czechoslovak Mathematical Journal
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The variance of the number of lattice points inside the dilated bounded set with random position in has asymptotics if the rotational average of the squared modulus of the Fourier transform of the set is . The asymptotics follow from Wiener’s Tauberian theorem.