Uniqueness Theorems for Multiple Series by Vilenkin and Generalized Haar Systems

K. A. Navasardyan

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Title: Uniqueness Theorems for Multiple Series by Vilenkin and Generalized Haar Systems

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1829-1163

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Գլխ. խմբ.՝ Անրի Ներսեսյան ; Պատ. խմբ.՝ Լինդա Խաչատրյան ; Խմբ. տեղակալ՝ Ռաֆայել Բարխուդարյան

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1-15

Abstract:

In 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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National Academy of Sciences of Armenia

Date created:

2018-07-09

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pdf

Identifier:

oai:arar.sci.am:13317

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Electronic Open Access Publication of the National Academy of Sciences of Armenia

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ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան

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ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան

Subject and keywords:

Fourier analysis

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Digital Library > Articles

Last modified:

Dec 13, 2023

In our library since:

Feb 12, 2020

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https://arar.sci.am/publication/15062

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Armenian Journal of Mathematics=Հայկական մաթեմատիկական հանդես

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Uniqueness Theorems for Multiple Series by Vilenkin and Generalized Haar Systems	Dec 13, 2023

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Title: Uniqueness Theorems for Multiple Series by Vilenkin and Generalized Haar Systems

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