Filters: Author is Dodson, M. M. [Clear All Filters]
Abstract harmonic analysis and the sampling theorem. Sampling theory in Fourier and signal analysis: advanced topics.. 1999.
The Whittaker-Kotel'nikov-Shannon theorem, spectral translates and Plancherel's formula. J. Fourier Analysis and Applications. 10:183-203.. 2004.
Approximating Paley-Weiner functions by smoothed step functions. J Approximation Theory. 78 No.3:433-445.. 1994.
Derivative sampling for multiband signals. J Num Funct Anal & Optimisation. 10:875-898.. 1989.
On the approximate form of Kluvánek's theorem. Journal of Approximation Theory. 160:281-303.. 2009.
Errors in reconstructing multiband signals. Communication Theory and App. I:96-102.. 1993.
A Converse to Kluvánek's Theorem. Journal of Fourier Analysis and Applications. 13:187-196.. 2007.
An application of a general sampling theorem. Result. Math.. 34:241-254.. 1998.
The distribution of sampling rates for signals with equally spaced, equally wide spectral bands. SIAM J Num Anal. 53:893-906.. 1993.
The Khintchine-Groshev theorem for planar curves. Proc. Roy. Soc. Lond A. 455:3053-3063.. 1999.
On the Hausdorff dimension of sets of well approximable points on non-degenerate curves. Dokl. Nats. Akad. Nauk Belarusi. 46, no.6:18-20.. 2002.
Classical metric Diophantine approximation revisited. Analytic number theory. Essays in honour of Klaus Roth on the occasion of his 80th birthday. :38-61.. 2009.
An inhomogeneous wave equation and non-linear Diophantine approximation. Advances in Mathematics. 217, no. 2:740-760.. 2008.
Regular systems, ubiquity and Diophantine approximation. A Panorama of Number Theory or The View from Baker's Garden. :260-279.. 2002.
Inhomogeneous non-linear Diophantine approximation. Proceedings of the conference `Diophantine analysis and its applications' in honour of Sprindzuk. :13-20.. 1997.
On linear manifolds for which the Khintchine approximation theorem holds. Vestsi Nats. Akad. Navuk Belarusi Ser. Fi z.-Mat. Navuk. no. 2:14-17.. 2000.
The exact order of approximation of zero by values of integral complex polynomials. Akad Navuk Belarus. 40:10-14.. 1996.
A Khintchine-type version of Schmidt's theorem for planar curves. Proc. Roy. Soc. Lond. A. 454:179-185.. 1998.
Metric diophantine approximation on manifolds. Cambridge Tracts in Mathematics. 137:233-265.. 1999.
Zero-infinity laws in Diophantine approximation. Quart. J Math.. 56:311-320.. 2005.
A Markov Based Method for Generating Long-Range Dependence. Physical Reviews E. 72:026118.. 2005.
Extremal manifolds and Hausdorff dimension. Duke Math. J.. 101:271-281.. 2000.
Simultaneous Diophantine approximation on the circle and Hausdorff dimension. Math Proc Camb Phil Soc. 130:515-522.. 2001.
Department of Mathematics, University of York, Heslington, York, UK. YO10 5DD