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Difference between revisions of "User:Camillo.delellis/sandbox"

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A numerical characteristic of functions of one or more real variables which is connected with differentiability properties.
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==Functions of one variable==
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===Classical definition===
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===Modern definition and relation to measure theory===
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===Jordan decomposition===
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====Negative and positive variations====
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===Lebesgue decomposition===
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===Examples===
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===Historical remark===
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==Wiener's generalization==
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==Functions of several variables==
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===Historical remarks===
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===Definition===
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===Caccioppoli sets===
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==Coarea formula==
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===Banach indicatrix===
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===Vitushkin variation===

Revision as of 10:39, 10 September 2012

2020 Mathematics Subject Classification: Primary: 26A45 [MSN][ZBL] (Functions of one variable)

2020 Mathematics Subject Classification: Primary: 26B30 Secondary: 28A1526B1549Q15 [MSN][ZBL] (Functions of severable variables)


A numerical characteristic of functions of one or more real variables which is connected with differentiability properties.

Functions of one variable

Classical definition

Modern definition and relation to measure theory

Jordan decomposition

Negative and positive variations

Lebesgue decomposition

Examples

Historical remark

Wiener's generalization

Functions of several variables

Historical remarks

Definition

Caccioppoli sets

Coarea formula

Banach indicatrix

Vitushkin variation

How to Cite This Entry:
Camillo.delellis/sandbox. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Camillo.delellis/sandbox&oldid=27868