On Lagrange interpolation and Kramer-type sampling theorems associated with Sturm-Liouville problems
SIAM Journal on Applied Mathematics
SIAM Journal on Applied Mathematics
Irregular sampling of bandlimited Lp-functions
Journal of Approximation Theory
Sampling theorems associated with fourth- and higher-order self-adjoint eigenvalue problems
Journal of Computational and Applied Mathematics
Image Processing: Mathematical Methods and Applications
Image Processing: Mathematical Methods and Applications
Kramer analytic kernels and first-order boundary value problems
Journal of Computational and Applied Mathematics - On the occasion of the 65th birthday of Prof. Michael Eastham
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This paper employs the theory of Kramer analytic kernels established by Everitt et al. (Results in Math. 34 (1998) 310) to derive sampling expansions. The kernels of the recovered transforms are Mittag-Leffler functions of two parameters. These kernels are solutions of certain classes of fractional integro-differential equations. The technique used here is different from the analytic approach by Djrbashian (Harmonic Analysis and Boundary Value Problems in the Complex Domain, BirkHäuser, Basel, 1993).