# Difference between revisions of "Functional Analysis"

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== Courses == | == Courses == | ||

* [[Proposed Linear Analysis Course]] | * [[Proposed Linear Analysis Course]] | ||

+ | * [[Proposed Nonlinear Analysis Course]] | ||

* [[Math 645]]: Functional Analysis (1?) | * [[Math 645]]: Functional Analysis (1?) | ||

* [[Math 646]]: Functional Analysis (2?) | * [[Math 646]]: Functional Analysis (2?) | ||

[[Category:Areas]] | [[Category:Areas]] |

## Revision as of 16:01, 10 June 2008

## Contents

## Chris Grant's Proposed Core Topics List for Some Functional Analysis Courses

### Function Spaces

- Distribution theory
- Test functions and distributions
- Schwartz class and tempered distributions
- Operations on distributions

- Imbedding theorems
- Compact imbeddings
- Poincaré inequalities
- Rellich-Kondrachov theorem

- Morrey's theorem
- Caccioppoli inequality
- John-Nirenberg inequality
- Calderón-Zygmund inequality
- Trace theorem
- Marcinkiewicz interpolation theorem

### Semigroups

- Hille-Yosida theorem
- Lumer-Phillips theorem
- Friedrich's lemma

## Courses

- Proposed Linear Analysis Course
- Proposed Nonlinear Analysis Course
- Math 645: Functional Analysis (1?)
- Math 646: Functional Analysis (2?)