Two related extremal problems for entire functions of several variables
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Publication:1569287
DOI10.1007/BF02676434zbMath0976.41015OpenAlexW1989467973MaRDI QIDQ1569287
Publication date: 1 April 2001
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02676434
Related Items (21)
Generalized Logan's problem for entire functions of exponential type and optimal argument in Jackson's inequality in \(L_2(\mathbb{R}^3)\) ⋮ НЕКОТОРЫЕ ЭКСТРЕМАЛЬНЫЕ ЗАДАЧИ ДЛЯ ПРЕОБРАЗОВАНИЯ ФУРЬЕ ПО СОБСТВЕННЫМ ФУНКЦИЯМ ОПЕРАТОРА ШТУРМА–ЛИУВИЛЛЯ ⋮ НЕКОТОРЫЕ ЭКСТРЕМАЛЬНЫЕ ЗАДАЧИ ГАРМОНИЧЕСКОГО АНАЛИЗА И ТЕОРИИ ПРИБЛИЖЕНИЙ ⋮ Вторая экстремальная задача Логана для преобразования Фурье по собственным функциям оператора Штурма–Лиувилля ⋮ Optimal arguments in Jackson's inequality in the power-weighted space \(L_2(\mathbb R^d)\) ⋮ Uncertainty Principles for Eventually Constant Sign Bandlimited Functions ⋮ Unnamed Item ⋮ Dunkl's theory and best approximation by entire functions of exponential type in \(L_{2}\)-metric with power weight ⋮ A sharp Jackson-Chernykh type inequality for spline approximations on the line ⋮ An extremal problem for even positive definite entire functions of exponential type ⋮ Approximation in \(L_2\) by partial integrals of the Fourier transform over the eigenfunctions of the Sturm-Liouville operator ⋮ Some extremal problems for the Fourier transform on the hyperboloid ⋮ Extremum problems for entire functions of exponential spherical type ⋮ Approximation in \(L_2\) by partial integrals of the multidimensional Fourier transform over the eigenfunctions of the Sturm-Liouville operator ⋮ An estimate of an optimal argument in the sharp multidimensional Jackson-Stechkin \(L_2\)-inequality ⋮ Some Problems in Fourier Analysis and Approximation Theory ⋮ Multidimensional Extremal Logan’s and Bohman’s Problems ⋮ Approximation of the multidimensional Jacobi transform in \(L_2\) by partial integrals ⋮ Turán, Fejér and Bohman extremal problems for the multivariate Fourier transform in terms of the eigenfunctions of a Sturm-Liouville problem ⋮ Optimal arguments in the Jackson-Stechkin inequality in \(L_2(\mathbb R^d)\) with Dunkl weight ⋮ Optimal argument in the sharp Jackson inequality in the space \(L_2\) with hyperbolic weight
Cites Work
- Sharp Jackson-Stechkin inequality in \(L^2\) for multidimensional spheres
- Jackson inequalities on sphere in \(L_ 2\)
- 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
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