https://www.vigyanwiki.in/index.php?action=history&feed=atom&title=Template%3AMeasure_theory 2026-05-23T01:35:34Z Revision history for this page on the wiki MediaWiki 1.39.3 https://www.vigyanwiki.in/index.php?title=Template:Measure_theory&diff=133106&oldid=prev 2023-04-14T18:40:50Z

<p>1 revision imported from <a href="https://alpha.indicwiki.in/index.php?title=Template:Measure_theory" class="extiw" title="alpha:Template:Measure theory">alpha:Template:Measure_theory</a></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <tr class="diff-title" lang="en-GB"> <td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 00:10, 15 April 2023</td> </tr><tr><td colspan="2" class="diff-notice" lang="en-GB"><div class="mw-diff-empty">(No difference)</div> </td></tr></table>

Indicwiki https://www.vigyanwiki.in/index.php?title=Template:Measure_theory&diff=133105&oldid=prev 2023-01-27T18:22:04Z

<p>Created page with &quot;{{Navbox | name = Measure theory | title = <a href="/index.php?title=Measure_theory&amp;action=edit&amp;redlink=1" class="new" title="Measure theory (page does not exist)">Measure theory</a> | state = {{{state|&lt;noinclude&gt;uncollapsed expanded&lt;/noinclude&gt;&lt;includeonly&gt;autocollapse&lt;/includeonly&gt;}}} &lt;!-- | s...&quot;</p> <p><b>New page</b></p><div>{{Navbox<br /> | name = Measure theory<br /> | title = [[Measure theory]]<br /> | state = {{{state|&lt;noinclude&gt;uncollapsed expanded&lt;/noinclude&gt;&lt;includeonly&gt;autocollapse&lt;/includeonly&gt;}}}<br /> &lt;!-- | state = {{{state|{{{1|}}}}}} --&gt;<br /> | image = <br /> | bodyclass = hlist<br /> | selected = {{{1}}}<br /> | above =<br /> <br /> | group1 = Basic concepts<br /> | list1 =<br /> * [[Absolute continuity]]<br /> * [[Lebesgue integration]]<br /> * [[Lp space|''L''&lt;sup&gt;''p''&lt;/sup&gt; spaces]]<br /> * [[Measure (mathematics)|Measure]]<br /> * [[Measure space]]<br /> ** [[Probability space]]<br /> * [[Measurable space]]/[[Measurable function|function]]<br /> <br /> | group6 = Sets<br /> | list6 =<br /> * [[Almost everywhere]]<br /> * [[Baire set]]<br /> * [[Borel set]]<br /> * [[Carathéodory's criterion]]<br /> * [[Convergence in measure]]<br /> * [[Dynkin system|{{lambda}}-system]]<br /> * [[Essential range]]<br /> ** [[Essential infimum and essential supremum|infimum/supremum]]<br /> * [[Locally measurable set|Locally measurable]]<br /> * [[Pi-system|{{pi}}-system]]<br /> * [[σ-algebra]]<br /> * [[Non-measurable set]]<br /> ** [[Vitali set]]<br /> * [[Null set]]<br /> * [[Support (measure theory)|Support]]<br /> * [[Transverse measure]]<br /> <br /> | group8 = Types of [[Measure (mathematics)|Measures]]<br /> | list8 =<br /> * [[Baire measure|Baire]]<br /> * [[Banach measure|Banach]]<br /> * [[Besov measure|Besov]]<br /> * [[Borel measure|Borel]]<br /> * [[Complex measure|Complex]]<br /> * [[Complete measure|Complete]]<br /> * [[Content (measure theory)|Content]]<br /> * ([[Logarithmically concave measure|Logarithmically]])&amp;nbsp;[[Convex measure|Convex]]<br /> * [[Discrete measure|Discrete]]<br /> * [[Finite measure|Finite]]<br /> * [[Inner measure|Inner]]<br /> * ([[Quasi-invariant measure|Quasi-]])&amp;nbsp;[[Invariant measure|Invariant]]<br /> * [[Locally finite measure|Locally finite]]<br /> * [[Maximising measure|Maximising]]<br /> * [[Metric outer measure|Metric outer]]<br /> * [[Outer measure|Outer]]<br /> * [[Perfect measure|Perfect]]<br /> * [[Pre-measure|Pre-measure]]<br /> * ([[Sub-probability measure|Sub-]])&amp;nbsp;[[Probability measure|Probability]]<br /> * [[Projection-valued measure|Projection-valued]]<br /> * [[Radon measure|Radon]]<br /> * [[Random measure|Random]]<br /> * [[Regular measure|Regular]]<br /> ** [[Borel regular measure|Borel regular]]<br /> ** [[Inner regular measure|Inner regular]]<br /> ** [[Outer regular measure|Outer regular]]<br /> * [[Saturated measure|Saturated]]<br /> * [[Set function]]<br /> * [[σ-finite measure|σ-finite]]<br /> * [[s-finite measure|s-finite]]<br /> * [[Signed measure|Signed]]<br /> * [[Singular measure|Singular]]<br /> * [[Spectral measure|Spectral]]<br /> * [[Strictly positive measure|Strictly positive]]<br /> * [[Tightness of measures|Tight]]<br /> * [[Vector measure|Vector]]<br /> <br /> <br /> | group15 = [[:Category:Measures (measure theory)|Particular measures]]<br /> | list15 =<br /> * [[Counting measure|Counting]]<br /> * [[Dirac measure|Dirac]]<br /> * [[Euler measure|Euler]]<br /> * [[Gaussian measure|Gaussian]]<br /> * [[Haar measure|Haar]]<br /> * [[Harmonic measure|Harmonic]]<br /> * [[Hausdorff measure|Hausdorff]]<br /> * [[Intensity measure|Intensity]]<br /> * [[Lebesgue measure|Lebesgue]]<br /> * [[Positive real numbers#Logarithmic measure|Logarithmic]]<br /> * [[Product measure|Product]]<br /> * [[Pushforward measure|Pushforward]]<br /> * [[Spherical measure]]<br /> * [[Tangent measure|Tangent]]<br /> * [[Trivial measure|Trivial]]<br /> * [[Young measure|Young]]<br /> <br /> <br /> | group50 = [[:Category:Theorems in measure theory|Main results]]<br /> | list50 = <br /> * [[Carathéodory's extension theorem]]<br /> * Convergence theorems<br /> ** [[Dominated convergence theorem|Dominated]]<br /> ** [[Monotone convergence theorem|Monotone]]<br /> ** [[Vitali convergence theorem|Vitali]]<br /> * Decomposition theorems<br /> ** [[Hahn decomposition theorem|Hahn]]<br /> ** [[Jordan decomposition theorem|Jordan]]<br /> ** [[Maharam's theorem|Maharam's]]<br /> * [[Egorov's theorem|Egorov's]]<br /> * [[Fatou's lemma]]<br /> * [[Fubini's theorem|Fubini's]]<br /> ** [[Fubini–Tonelli theorem|Fubini–Tonelli]]<br /> * [[Hölder's inequality]]<br /> * [[Minkowski inequality]]<br /> * [[Radon–Nikodym theorem|Radon–Nikodym]]<br /> * [[Riesz–Markov–Kakutani representation theorem]]<br /> <br /> | group55 = Other results<br /> | list55 = <br /> * [[Disintegration theorem]]<br /> ** [[Lifting theory]]<br /> * [[Lebesgue's density theorem]]<br /> * [[Lebesgue differentiation theorem]]<br /> * [[Sard's theorem]]<br /> <br /> | group90 = Applications&amp;nbsp;&amp;amp;&amp;nbsp;related<br /> | list90 = <br /> * [[Probability theory]]<br /> * [[Real analysis]]<br /> * [[Spectral theory]]<br /> <br /> }}&lt;noinclude&gt;<br /> {{Documentation<br /> | content =<br /> {{Collapsible option |statename=optional}}<br /> }}<br /> [[Category:Mathematics navigational boxes]]<br /> &lt;/noinclude&gt;</div>

alpha>Indicwiki