Abstract: The Laplace transform is one of an array of integral transforms gathered under the topic of operational mathematics. Laplace transform and the Fourier transform are the two integral ...

Abstract: To solve the inverse scattering problem in the absence of any discrete spectrum for the coupled-wave equations of the Zakharov-Shabat type when the reflection coefficient is a rational ...

We present some relations that allow the efficient approximate inversion of linear differential operators with rational function coefficients. We employ expansions in terms of a large class of ...

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A fundamental question in neuroscience is how the brain creates an internal model of the world to guide actions using sequences of ambiguous sensory information. This is naturally formulated as a ...

For a rational matrix function Φ with poles outside the unit circle, we estimate the degree of the unique superoptimal approximation 𝒜Φ by matrix functions analytic in the unit disk. We obtain sharp ...