Universality Properties of a Double Series by the Generalized Walsh System

Sergo A. Episkoposian

International Journal of Analysis, 2013, vol. 2013, 1-9

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:ijanal:424686

DOI: 10.1155/2013/424686

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