arXiv 1007.01082010-07math.CA

Jacob's ladders and the $\tilde{Z}^2$-transformation of the orthogonal system of trigonometric functions

Jan Moser

英文摘要：

It is shown in this paper that there is a continuum set of orthogonal systems relative to the weight function $\tilde{Z}^2(t)$. The corresponding integrals cannot be obtained in known theories of Balasubramanian, Heath-Brown and Ivic.

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