Difference between revisions of "Functional Analysis"
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== Courses == | == Courses == | ||
| − | * [[Math | + | * [[Math 540]]: Linear Analysis |
| − | * [[Math | + | * [[Math 640]]: Nonlinear Analysis |
| + | |||
| + | == Chris Grant's Proposed Core Topics List for Some Functional Analysis Courses == | ||
| + | |||
| + | === Function Spaces === | ||
| + | <div style="-moz-column-count:2; column-count:2;"> | ||
| + | # 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 | ||
| + | |||
| + | </div> | ||
| + | |||
| + | === Semigroups === | ||
| + | # Hille-Yosida theorem | ||
| + | # Lumer-Phillips theorem | ||
| + | # Friedrich's lemma | ||
| + | |||
| + | |||
| + | |||
| + | [[Category:Areas]] | ||
Latest revision as of 12:17, 4 June 2009
Contents
Courses
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
