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mark I
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Decks in this class (12)
Fundamentals
Real numbers constructed,
What does it mean for real number...,
What is are the reals axiomatically
16
cards
Measures
What is a semiring,
What is a ring,
What is an algebra
12
cards
Outer Measures
U is a measure,
Whats an outer measure,
A subset e of x is u measurable if
18
cards
Lebesgue Measure
If a is in b both measurable then,
If u is a finite measure on x e i...,
E in r is lebesgue measurable if ...
6
cards
Measurable Functions
A relation holds almost everywher...,
F x r is a measurable function if,
If f is measurable and f g ae then
6
cards
Sequences of Functions
Lim sup an exists if,
Fn is,
For a sequence fn of measurable f...
3
cards
Simple and Step Functions
A function g x ris simple,
For ai the distinct nonzero value...,
A simple function is called astep...
13
cards
Upper Functions
F x r is an upper function if,
Are upper functions measurable,
Careful f upper doesnt mean f is ...
8
cards
Integrable Functions
F is lebesgue integrable just int...,
F g integrable means,
Whats the canoncial way to writef...
13
cards
Function Spaces
A norm on a vector space is a fun...,
Normed linear space is a,
Sup norm
15
cards
Dual Spaces
T is a linear operator or transfo...,
Operator norm of a bounded linear...,
Bounded linear operator t
15
cards
Fourier Series
In a hilbert spacev is orthogonal...,
For a set a in a hilbert spacethe...,
What is an orthogonal basis of h ...
11
cards
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measure theory
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