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<p>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.</p>

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INTERPOLATION OF PERIODIC FUNCTIONS AND CONSTRUCTION OF BIORTHOGONAL SYSTEMS USING UNIFORM SHIFTS OF THE THETA FUNCTION

  • 期刊论文

  • 发表日期：

    2025年7月1日

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  • M. L. Zhadanova

摘要

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.