Discretization Theorems for Entire Functions of Exponential Type

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• Michael Ganzburg (Hampton University)
• Tuesday 16 July 2024, 14:45-15:25
• Seminar Room 1, Newton Institute.

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DREW01 - Multivariate approximation, discretization, and sampling recovery

We present Lq-discretization inequalities for entire functions of exponential type on the Euclidean m-dimensional space. We find necessary and sufficient conditions on a set of knots for the discretization inequalities to be valid. We also analyze when the necessary and sufficient conditions coincide. In addition, discretization inequalities on an m-dimensional cube are proved for entire functions of exponential type and exponential polynomials.

This talk is part of the Isaac Newton Institute Seminar Series series.

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