|
This article is cited in 1 scientific paper (total in 2 paper)
Summation of Unordered Arrays
E. V. Shchepin Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Abstract:
An approach to the summation of unordered number and matrix arrays based on ordering them by absolute value (greedy summation) is proposed. Theorems on products of greedy sums are proved. A relationship between the theory of greedy summation and the theory of generalized Dirichlet series is revealed. The notion of asymptotic Dirichlet series is considered.
Keywords:
greedy sum, unordered sum, theorem on multiplications of sums, generalized Dirichlet series, asymptotic Dirichlet series, Riesz means, generic zeta-function.
Received: 29.09.2016 Revised: 20.06.2017
Citation:
E. V. Shchepin, “Summation of Unordered Arrays”, Funktsional. Anal. i Prilozhen., 52:1 (2018), 43–55; Funct. Anal. Appl., 52:1 (2018), 35–44
Linking options:
https://www.mathnet.ru/eng/faa3505https://doi.org/10.4213/faa3505 https://www.mathnet.ru/eng/faa/v52/i1/p43
|
Statistics & downloads: |
Abstract page: | 568 | Full-text PDF : | 122 | References: | 60 | First page: | 40 |
|