Timeline for spectacular applications of functional analysis in resolutions of apparently unrelated problems
Current License: CC BY-SA 3.0
14 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 24, 2013 at 22:32 | vote | accept | Koushik | ||
| Feb 25, 2013 at 8:02 | |||||
| Feb 24, 2013 at 17:52 | comment | added | Yemon Choi | One person's soectacular is another person's shallow... | |
| Feb 24, 2013 at 17:47 | history | made wiki | Post Made Community Wiki by S. Carnahan♦ | ||
| Feb 24, 2013 at 16:55 | answer | added | Jochen Wengenroth | timeline score: 3 | |
| Feb 24, 2013 at 16:50 | comment | added | Bill Johnson | Yes, Cleft, I could write a book on transference of knowledge, results, and techniques from modern Banach space theory to other areas, but just as striking is merely listing people who made big reputations through research in other fields based to a large extent on what they learned and did in Banach space theory, including, among many others, Bourgain, Casazza, Gowers, Ghoussoub, Grothendieck, Milman, Pisier, Rudelson, Talagrand, Vershynin, ... | |
| Feb 24, 2013 at 16:40 | answer | added | Liviu Nicolaescu | timeline score: 5 | |
| Feb 24, 2013 at 16:26 | comment | added | Cleft | Should be tagged ask-johnson. | |
| Feb 24, 2013 at 16:22 | answer | added | Francois Ziegler | timeline score: 5 | |
| Feb 24, 2013 at 16:01 | comment | added | Benjamin Steinberg | Should be a CW question. | |
| Feb 24, 2013 at 14:31 | comment | added | Venkataramana | hodge's theorem is in geometry (see warnIt is basic to er's book on differential geometry) and not in harmonic analysis. it is basic to algebraic geometry, for example. | |
| Feb 24, 2013 at 14:21 | comment | added | Koushik | rep. theory,functional analysis,harmonic analysis are quite intimately related.so i am not looking for them.i would look into margaulis.thnx for the information | |
| Feb 24, 2013 at 13:58 | comment | added | Venkataramana | I should have added. A large part of the work of margulis is on structure and algebraic properties of lattices (arithmeticity, normal subgroup theorem etc). However the proofs use ergodic theory, which you may think of as part of functional analysis. | |
| Feb 24, 2013 at 13:50 | comment | added | Venkataramana | I don't know what you are looking for. For example, Peter -Weyl theorem is an application of compact operator theory and yileds the consequence that every compact Lie group is linear. The proof of Hodge's theorem on harmonic forms representing cohomology also uses functional analysis. At various points, that in a representation space of semi-simple lie groups, analytic vectors exist in profusion (Harish-Chandra theorem) uses elliptic operators. | |
| Feb 24, 2013 at 12:54 | history | asked | Koushik | CC BY-SA 3.0 |