
Fatou: 
MacTutor History of Math 

Fatou: 
Fatou lemma 

Finite:(locally) 
Locally finite measure 

Finite:(locally) 
L. finite measure on
sigmacompact metric is regular 

Finite:(locally) 
L. finite measure on
open subset of Rn is regular 

Finite:(locally) 
Locally finite measure,
invariant by translation on Rn 

Finite:(measure) 
Finite measure space 

Finite:(measure) 
Probability space 

Finite:(measure) 
Total variation is a finite
measure 

Finite:(measure) 
Inequalities between finite
measures on R+ 

Finite:(product) 
Finite product of measures 

Finite:(product) 
Finite product of complex
measures 

Finite:(sigma) 
Sigmafinite measure space 

Finite:(sigma) 
RadonNikodym theorem for sigmafinite
measure 

Finite:(variation) 
Map of finite variation 

Finite:(variation) 
Density of finite var. map
w.r. to its total variation 

Finite:(variation) 
Stieltjes integral w.r. to finite
variation map 

Finite: 
Finite increments theorem 

Finitely: 
Finitely additive map 

Finitely: 
Finitely subadditive map 

Formula: 
Change of time formula for
stieltjes integral on R+ 

Formula: 
Jacobian formula 1
(nonnegative case) 

Formula: 
Jacobian formula 2 (L1 case) 

Fourier: 
MacTutor History of Math 

Fourier:(transform) 
Fourier transform of complex
measure 

Fourier:(transform) 
Fourier transform of reduced
normal distribution 

Fourier:(transform) 
Fourier transform of normal
distribution 

Fourier:(transform) 
Injectivity of fourier
transform 

Fourier:(transform) 
Moments of measure from fourier
transform 

Fubini: 
MacTutor History of Math 

Fubini: 
Fubini theorem (nonnegative
map, double integral) 

Fubini: 
Fubini theorem (nonnegative
map, multiple integral) 

Fubini: 
Fubini theorem in L1 

Function: 
Characteristic function of a
set 

Function:(simple) 
Simple function 

Function:(simple) 
Complex simple function 

Function:(simple) 
Integral of a simple function 

Function:(simple) 
Partition of a simple function 

Function:(simple) 
Approximation by simple functions 

Function: 
Positive, negative part of a function 

Function: 
Sum, product of Cvalued measurable functions 

Function:(convex) 
Convex function 

Function:(maximal) 
Maximal function of complex
measure 

Function:(maximal) 
Maximal function of elements
of L1(Rn) 

Function:(charac.) 
Characteristic function of Rnvalued random variable 

Function:(charac.) 
Characterictic function
determines distribution 

Functional: 
Linear functional 

Functional: 
Bounded linear functional 

Functional: 
Bounded linear functional as innerproduct 

Functional: 
Bounded linear functional in L2 

Fundamental: 
Fundamental calculus theorem 