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Universality Properties of a Double Series by the Generalized Walsh System

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  • Sergo A. Episkoposian

Abstract

We consider a question on existence of a double series by the generalized Walsh system, which is universal in weighted spaces. In particular, we construct a weighted function and a double series by generalized Walsh system of the form with the for all , which is universal in concerning subseries with respect to convergence, in the sense of both spherical and rectangular partial sums.

Suggested Citation

  • Sergo A. Episkoposian, 2013. "Universality Properties of a Double Series by the Generalized Walsh System," International Journal of Analysis, Hindawi, vol. 2013, pages 1-9, April.
    • Handle: RePEc:hin:ijanal:424686
    DOI: 10.1155/2013/424686
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