Neumann series

id: neumann-series-187-12550558
title: Neumann series
text: A Neumann series is a mathematical series of the form - ∑ k = 0 ∞ T k where T is an operator and T k := T k − 1 ∘ T its k times repeated application. This generalizes the geometric series. The series is named after the mathematician Carl Neumann, who used it in 1877 in the context of potential theory. The Neumann series is used in functional analysis. It forms the basis of the Liouville-Neumann series, which is used to solve Fredholm integral equations. It is also important when studying the s
brand slug: wiki
category slug: encyclopedia
description: Mathematical series
original url: https://en.wikipedia.org/wiki/Neumann_series
date created: 2005-08-25T04:50:56Z
date modified: 2024-09-08T15:07:59Z
main entity: {"identifier":"Q584910","url":"https://www.wikidata.org/entity/Q584910"}
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fields total: 13
integrity: 15

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