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Uniqueness Theorems for Generalized Haar Systems

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A uniqueness theorem and a recovery theorem for the coefficients of series in generalized Haar systems are proved under the assumption that the series converge in measure and satisfy a… Click to show full abstract

A uniqueness theorem and a recovery theorem for the coefficients of series in generalized Haar systems are proved under the assumption that the series converge in measure and satisfy a certain necessary condition on the distribution function of the majorant of partial sums.

Keywords: uniqueness theorems; haar systems; generalized haar; theorems generalized

Journal Title: Mathematical Notes
Year Published: 2018

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