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Generalizing the Walsh-Paley system and binary integration. (English)
J. Math. Sci., New York 157, No. 3, 442-449 (2009); translation from Sovrem. Mat. Prilozh. 53, No. 1 (2008).
The paper consists of the following sections: 1. Introduction 2. Walsh-Paley System 3. Construction of Systems Generalizing the Walsh-Paley System 4. Double Walsh Series 5. Binary Integration and a list of references. They reflect the main steps the author undertook to suggest a unified approach to various systems of the Walsh-Paley type, both in one dimension and two dimensions. Such systems have good applications in signal processing.
Reviewer: Elijah Liflyand (Ramat-Gan)
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