Borel functional calculus

id: borel-functional-calculus-193-15860619
title: Borel functional calculus
text: In functional analysis, a branch of mathematics, the Borel functional calculus is a functional calculus, which has particularly broad scope. Thus for instance if T is an operator, applying the squaring function s → s2 to T yields the operator T2. Using the functional calculus for larger classes of functions, we can for example define rigorously the "square root" of the (negative) Laplacian operator −Δ or the exponential e i t Δ . The 'scope' here means the kind of function of an operator which i
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category slug: encyclopedia
description: Branch of functional analysis
original url: https://en.wikipedia.org/wiki/Borel_functional_calculus
date created:
date modified: 2024-04-01T20:41:59Z
main entity: {"identifier":"Q829645","url":"https://www.wikidata.org/entity/Q829645"}
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integrity: 14

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