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About
References to 'measurable function'
1.
$L^1(G)$ is a Banach *-algebra
by
asteroid
2.
$L^2$-spaces are Hilbert spaces
by
asteroid
3.
$L^p$-norm is dual to $L^q$
by
gel
4.
$L^p$-space
by
Mathprof
5.
$\mathbb{L}^p$ vs $\mathbb{L}^q$
by
yark
6.
$\sigma$-algebra generated by a random variable
by
PrimeFan
7.
a Lebesgue measurable but non-Borel set
by
gel
8.
alternative definition of Lebesgue integral, an
by
Gorkem
9.
any $\sigma$-finite measure is equivalent to a probability measure
by
gel
10.
Beltrami differential equation
by
jirka
11.
Black-Scholes PDE
by
stevecheng
12.
Borel groupoid
by
bci1
13.
change of variables in integral on $\mathbb{R}^n$
by
stevecheng
14.
convolution
by
PrimeFan
15.
convolution, associativity of
by
mps
16.
criterion for interchanging summation and integration
by
rspuzio
17.
differentiation under the integral sign
by
stevecheng
18.
Dirac measure
by
Wkbj79
19.
direct images of analytic sets are analytic
by
gel
20.
dominated convergence for stochastic integration
by
gel
21.
dominated convergence theorem
by
Koro
22.
Egorov's theorem
by
Koro
23.
equivalent conditions for uniform integrability
by
gel
24.
equivalent definitions of analytic sets
by
gel
25.
ergodicity of a map in terms of its induced operator
by
asteroid
26.
essential supremum
by
gel
27.
example of function not Lebesgue Measurable with measurable level sets
by
cvalente
28.
existence of Laplace transform
by
rspuzio
29.
Fatou's lemma
by
Koro
30.
Fatou-Lebesgue theorem
by
Koro
31.
function space
by
matte
32.
functional calculus
by
asteroid
33.
functional monotone class theorem
by
gel
34.
generalized Fourier transform
by
bci1
35.
generalized Riemann-Lebesgue lemma
by
fernsanz
36.
groupoid representations induced by measure
by
bci1
37.
hitting times are stopping times
by
gel
38.
injective images of Baire space
by
gel
39.
Lebesgue integral
by
djao
40.
Lebesgue integral over a subset of the measure space
by
Wkbj79
41.
Lehmann-Scheff\'e theorem
by
CWoo
42.
Lusin's theorem
by
Wkbj79
43.
measurable section theorem
by
gel
44.
modes of convergence of sequences of measurable functions
by
Wkbj79
45.
monotone convergence theorem
by
Koro
46.
multiplication operator on $L^2$
by
scineram
47.
operator induced by a measure preserving map
by
asteroid
48.
Polish spaces up to Borel isomorphism
by
gel
49.
predictable process
by
gel
50.
preservation of uniform integrability
by
gel
51.
product $\sigma$-algebra
by
gel
52.
proof of $L^p$-norm is dual to $L^q$
by
gel
53.
proof of dominated convergence theorem
by
paolini
54.
proof of equivalent definitions of analytic sets for Polish spaces
by
gel
55.
proof of existence of the essential supremum
by
gel
56.
proof of functional monotone class theorem
by
gel
57.
proof of injective images of Baire space
by
gel
58.
proof of Polish spaces up to Borel isomorphism
by
gel
59.
proof of Radon-Nikodym theorem
by
Ziosilvio
60.
properties of the Lebesgue integral of Lebesgue integrable functions
by
Wkbj79
61.
PTAH inequality
by
Mathprof
62.
Radon-Nikodym theorem
by
Koro
63.
random variable
by
mathcam
64.
rectifiable current
by
paolini
65.
Riemann-Lebesgue lemma
by
rmilson
66.
Schur's Test
by
karstenb
67.
signed measure
by
Koro
68.
simple function
by
mps
69.
spectral measure
by
asteroid
70.
summable function
by
ehremo
71.
support of integrable function is $\sigma$-finite
by
asteroid
72.
table of generalized Fourier and measured groupoid transforms
by
bci1
73.
Tonelli's theorem
by
jirka
74.
traveling hump sequence
by
Wkbj79
75.
uniformly integrable
by
stevecheng
76.
universally measurable
by
gel
77.
Vitali convergence theorem
by
stevecheng
78.
Young's theorem
by
Ziosilvio