Geodesic
Interpolation of periodic functions and construction of biorthogonal systems using uniform shifts of the theta function
Contemporary Mathematics. Fundamental Directions, Proceedings of the Voronezh Winter Mathematical Krein School — 2024, Tome 70 (2024) no. 4, pp. 575-585 Cet article a éte moissonné depuis la source Math-Net.Ru

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The problems of interpolation of periodic functions and construction of biorthogonal systems are considered. Uniform shifts of the third Jacobi theta function are used as a basis. Explicit formulas for the nodal function and the function generating the biorthogonal system are obtained. Exact values of the lower and upper Riesz constants are found.
Keywords: periodic function, theta function, integer shift, nodal function
Mots-clés : biorthogonal system, interpolation, Riesz constant. 
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M. L. Zhadanova. Interpolation of periodic functions and construction of biorthogonal systems using uniform shifts of the theta function. Contemporary Mathematics. Fundamental Directions, Proceedings of the Voronezh Winter Mathematical Krein School — 2024, Tome 70 (2024) no. 4, pp. 575-585. http://geodesic.mathdoc.fr/item/CMFD_2024_70_4_a4/

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