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Fatou: |
MacTutor History of Math |
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Fatou: |
Fatou lemma |
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Finite:(locally) |
Locally finite measure |
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Finite:(locally) |
L. finite measure on
sigma-compact metric is regular |
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Finite:(locally) |
L. finite measure on
open subset of Rn is regular |
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Finite:(locally) |
Locally finite measure,
invariant by translation on Rn |
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Finite:(measure) |
Finite measure space |
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Finite:(measure) |
Probability space |
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Finite:(measure) |
Total variation is a finite
measure |
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Finite:(measure) |
Inequalities between finite
measures on R+ |
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Finite:(product) |
Finite product of measures |
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Finite:(product) |
Finite product of complex
measures |
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Finite:(sigma) |
Sigma-finite measure space |
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Finite:(sigma) |
Radon-Nikodym theorem for sigma-finite
measure |
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Finite:(variation) |
Map of finite variation |
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Finite:(variation) |
Density of finite var. map
w.r. to its total variation |
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Finite:(variation) |
Stieltjes integral w.r. to finite
variation map |
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Finite: |
Finite increments theorem |
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Finitely: |
Finitely additive map |
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Finitely: |
Finitely sub-additive map |
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Formula: |
Change of time formula for
stieltjes integral on R+ |
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Formula: |
Jacobian formula 1
(non-negative case) |
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Formula: |
Jacobian formula 2 (L1 case) |
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Fourier: |
MacTutor History of Math |
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Fourier:(transform) |
Fourier transform of complex
measure |
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Fourier:(transform) |
Fourier transform of reduced
normal distribution |
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Fourier:(transform) |
Fourier transform of normal
distribution |
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Fourier:(transform) |
Injectivity of fourier
transform |
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Fourier:(transform) |
Moments of measure from fourier
transform |
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Fubini: |
MacTutor History of Math |
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Fubini: |
Fubini theorem (non-negative
map, double integral) |
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Fubini: |
Fubini theorem (non-negative
map, multiple integral) |
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Fubini: |
Fubini theorem in L1 |
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Function: |
Characteristic function of a
set |
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Function:(simple) |
Simple function |
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Function:(simple) |
Complex simple function |
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Function:(simple) |
Integral of a simple function |
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Function:(simple) |
Partition of a simple function |
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Function:(simple) |
Approximation by simple functions |
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Function: |
Positive, negative part of a function |
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Function: |
Sum, product of C-valued measurable functions |
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Function:(convex) |
Convex function |
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Function:(maximal) |
Maximal function of complex
measure |
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Function:(maximal) |
Maximal function of elements
of L1(Rn) |
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Function:(charac.) |
Characteristic function of Rn-valued random variable |
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Function:(charac.) |
Characterictic function
determines distribution |
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Functional: |
Linear functional |
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Functional: |
Bounded linear functional |
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Functional: |
Bounded linear functional as inner-product |
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Functional: |
Bounded linear functional in L2 |
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Fundamental: |
Fundamental calculus theorem |
