Logan-Hermite extremal problems for entire functions of exponential type

DOI10.1134/S0001434623010157OpenAlexW4323831468MaRDI QIDQ2690969

Dmitry Gorbachev, Valeriĭ I. Ivanov

Publication date: 17 March 2023

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434623010157

zbMATH Keywords

entire function of exponential typeLogan-type extremal problemquadrature on half-lineSturm-Liouville eigenfunction transform

Mathematics Subject Classification ID

Special functions (33-XX)

Cites Work

• The Heisenberg principle and positive functions
• Yudin-Hermite extremal problems for polynomials
• Gauss and Markov quadrature formulae with nodes at zeros of eigenfunctions of a Sturm-Liouville problem, which are exact for entire functions of exponential type
• Extremal Problems for Positive-Definite Bandlimited Functions. I. Eventually Positive Functions with Zero Integral
• Extremal Problems for Positive-Definite Bandlimited Functions. II. Eventually Negative Functions
• Uncertainty Principles for Eventually Constant Sign Bandlimited Functions
• Turán, Fejér and Bohman extremal problems for the multivariate Fourier transform in terms of the eigenfunctions of a Sturm-Liouville problem

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