Natural Science, Mathematics, 2025
UNIQUENESS THEOREMS FOR MULTIPLE FRANKLIN SERIES
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Submitted: 2025-02-05; Published: 2025-02-05
Š 2025 by author(s) and The Gufo Inc.
This work is licensed under Creative Commons AttributionâNonCommercial International License
(CC BY-NC 4.0).
Abstract
It is proved, that if the square partial sums Ďqn(x) of a multiple Franklin series converge in measure to a function f, the ratio qn+1qn is bounded and the majorant of partial sums satisfies to a necessary condition, then the coefficients of the series are restored by the function f.