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Uniqueness of multiple Walsh series for the convergence on binary cubes

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Abstract

We consider uniqueness problems for multiple Walsh series convergent on binary cubes on a multidimensional binary group. We find conditions under which a given finite or countable set is a set of uniqueness.

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Original Russian Text © N. S. Moreva, 2007, published in Matematicheskie Zametki, 2007, Vol. 81, No. 4, pp. 586–598.

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Moreva, N.S. Uniqueness of multiple Walsh series for the convergence on binary cubes. Math Notes 81, 518–528 (2007). https://doi.org/10.1134/S0001434607030297

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  • DOI: https://doi.org/10.1134/S0001434607030297

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