Search Results - "Dodson, M.M."

Herbert Raabe's work in multiplex signal transmission and his development of sampling methods by Butzer, P.L., Dodson, M.M., Ferreira, P.J.S.G., Higgins, J.R., Lange, O., Seidler, P.

“…This paper discusses the work of Herbert Raabe (1909–2004) and its significance in terms of sampling. Raabe's thesis, published in 1939, represents a milestone…”
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A Khintchine–type version of Schmidt's theorem for planar curves by Bernik, V.I., Dickinson, H., Dodson, M.M.

“…An analogue of the convergence part of the Khintchine–Groshev theorem is proved for planar curves obeying certain curvature conditions…”
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Approximating signals in the abstract by Dodson, M.M.

“…An analogue of the classical approximate sampling theorem is proved for the abstract analogue of a signal, i.e. a function on a locally compact abelian group…”
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The Whittaker?Kotel?nikov? Shannon Theorem, Spectral Translates and Plancherel?s Formula by Beaty, M.G., Dodson, M.M.

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An inhomogeneous wave equation and non-linear Diophantine approximation by Beresnevich, V., Dodson, M.M., Kristensen, S., Levesley, J.

“…A non-linear Diophantine condition involving perfect squares and arising from an inhomogeneous wave equation on the torus guarantees the existence of a smooth…”
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On the approximate form of Kluvánek's theorem by Beaty, M.G., Dodson, M.M., Eveson, S.P., Higgins, J.R.

“…An abstract form of the classical approximate sampling theorem is proved for functions on a locally compact abelian group that are continuous,…”
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A Converse to Kluvánek’s Theorem by Beaty, M.G., Dodson, M.M., Eveson, S.P.

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Multiplex signal transmission and the development of sampling techniques: the work of Herbert Raabe in contrast to that of Claude Shannon by Butzer, P.L., Dodson, M.M., Ferreira, P.J.S.G., Higgins, J.R., Lange, O., Seidler, P., Stens, R.L.

“…This article discusses the interplay between multiplex signal transmission in telegraphy and telephony, and sampling methods. It emphasizes the works of…”
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A quantitative Khintchine-Groshev type theorem over a field of formal series by Dodson, M.M., Kristensen, S., Levesley, J.

“…An asymptotic formula which holds almost everywhere is obtained for the number of solutions to theDiophantine inequalities ‖qA − p‖ < Ψ(‖g‖), where A is an n x…”
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Fractal dimension of vegetation and the distribution of arthropod body lengths by Morse, D.R, Lawton, J.H, Dodson, M.M, Williamson, M.H

“…Following Mandelbrot, recent studies demonstrate that some natural surfaces are fractal. The authors show that transects across vegetation are fractal, and…”
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Hausdorff dimension and p-adic diophantine approximation by Dickinson, H., Dodson, M.M., Yuan, J.

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Simultaneous Diophantine Approximation and Asymptotic Formulae on Manifolds by Dodson, M.M., Rynne, B.P., Vickers, J.A.G.

“…Letψ(r),r=1, 2, … be a positive decreasing sequence such that ∑r=1∞ψ(r)kdiverges. Using a powerful variance argument due to Schmidt, an asymptotic formula is…”
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