Vol. 10 No. 6 (2018): Uniqueness Theorems for Multiple Series by Vilenkin and Generalized Haar Systems
Published:
2018-07-09
Articles
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Articles
Uniqueness Theorems for Multiple Series by Vilenkin and Generalized Haar Systems
AbstractIn this paper we discuss the uniqueness property of a summation method for multiple series with respect to Vilenkin and generalized Haar systems. It is proved that if the multiple series with respect to these systems is a.e. summable by that method to an integrable function on $[0,1)^d$ and satisfies an extra condition, then it is the Fourier series of this function.
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