PublicationsFilters: Author is Dodson, M. M. [Clear All Filters]
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1994. Approximating Paley-Weiner functions by smoothed step functions. J Approximation Theory. 78 No.3:433-445.
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1989. Derivative sampling for multiband signals. J Num Funct Anal & Optimisation. 10:875-898.
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2009. On the approximate form of Kluvánek's theorem. Journal of Approximation Theory. 160:281-303. Abstract
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1993. Errors in reconstructing multiband signals. Communication Theory and App. I:96-102.
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2007. A Converse to Kluvánek's Theorem. Journal of Fourier Analysis and Applications. 13:187-196. Abstract
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1998. An application of a general sampling theorem. Result. Math.. 34:241-254.
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1993. The distribution of sampling rates for signals with equally spaced, equally wide spectral bands. SIAM J Num Anal. 53:893-906.
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1999. Abstract harmonic analysis and the sampling theorem. Sampling theory in Fourier and signal analysis: advanced topics.
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2004. The Whittaker-Kotel'nikov-Shannon theorem, spectral translates and Plancherel's formula. J. Fourier Analysis and Applications. 10:183-203. Abstract
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2008. An inhomogeneous wave equation and non-linear Diophantine approximation. Advances in Mathematics. 217, no. 2:740-760. Abstract
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2002. Regular systems, ubiquity and Diophantine approximation. A Panorama of Number Theory or The View from Baker's Garden. :260-279.
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1997. Inhomogeneous non-linear Diophantine approximation. Proceedings of the conference `Diophantine analysis and its applications' in honour of Sprindzuk. :13-20.
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2000. On linear manifolds for which the Khintchine approximation theorem holds. Vestsi Nats. Akad. Navuk Belarusi Ser. Fi z.-Mat. Navuk. no. 2:14-17.
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1999. The Khintchine-Groshev theorem for planar curves. Proc. Roy. Soc. Lond A. 455:3053-3063.
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2009. Classical metric Diophantine approximation revisited. Analytic number theory. Essays in honour of Klaus Roth on the occasion of his 80th birthday. :38-61.
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2002. On the Hausdorff dimension of sets of well approximable points on non-degenerate curves. Dokl. Nats. Akad. Nauk Belarusi. 46, no.6:18-20.
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1998. A Khintchine-type version of Schmidt's theorem for planar curves. Proc. Roy. Soc. Lond. A. 454:179-185.
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1999. Metric diophantine approximation on manifolds. Cambridge Tracts in Mathematics. 137:233-265.
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1996. The exact order of approximation of zero by values of integral complex polynomials. Akad Navuk Belarus. 40:10-14.
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2005. Zero-infinity laws in Diophantine approximation. Quart. J Math.. 56:311-320. Abstract
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2010. Herbert Raabe's work in multiplex signal transmission and his development of sampling methods. Signal Processing. 90
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2005. A Markov Based Method for Generating Long-Range Dependence. Physical Reviews E. 72:026118. Abstract
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2000. Extremal manifolds and Hausdorff dimension. Duke Math. J.. 101:271-281.
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2001. Simultaneous Diophantine approximation on the circle and Hausdorff dimension. Math Proc Camb Phil Soc. 130:515-522. Abstract
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