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Shift operator

In mathematics, and in particular functional analysis, the shift operator, also known as the translation operator, is an operator that takes a function x ↦ f(x) to its translation x ↦ f(x + a). In time series analysis, the shift operator is called the lag operator.

Art, Properties of the shift operator & Overview

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Overview

Definition

Properties of the shift operator

Generalization

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Shift operator

Nodes58
Edges57
Triples16
Avg. degree1.97
Density0.034483
Components1

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Shift operator

Top relations

related to Action on Hilbert spaces · 4
Shift operator → Fourier, In, The, Therefore
related to Functions of a real variable · 2
Shift operator → Lagrange, The
related to Generalization · 2
Shift operator → Boris Levitan, Jean Delsarte
related to Properties of the shift operator · 2
Shift operator → The, Therefore
related to Abelian groups · 1
Shift operator → In
related to Sequences · 1
Shift operator → The

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Important terminology

operator shift functions displaystyle analysis sequences variable mathbb acting called abelian translation operators linear also action real function functional example

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Hardy spacesinstance ofappear in diverse areas0.80text
the theory of abelian varietiesinstance ofappear in diverse areas0.80text
and the theory of symbolic dynamicsinstance ofappear in diverse areas0.80text
for which the baker's map is an explicit representationinstance ofappear in diverse areas0.80text
Shift operatorrelated to Abelian groupsIn0.60section
Shift operatorrelated to Action on Hilbert spacesThe0.60section
Shift operatorrelated to Action on Hilbert spacesIn0.60section
Shift operatorrelated to Action on Hilbert spacesFourier0.60section
Shift operatorrelated to Action on Hilbert spacesTherefore0.60section
Shift operatorrelated to Functions of a real variableThe0.60section
Shift operatorrelated to Functions of a real variableLagrange0.60section
Shift operatorrelated to GeneralizationJean Delsarte0.60section

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