Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with fourier-analysis
Search options not deleted
user 6153
The representation of functions (or objects which are in some generalize the notion of function) as constant linear combinations of sines and cosines at integer multiples of a given frequency, as Fourier transforms or as Fourier integrals.
7
votes
How does one use the Poisson summation formula?
Probably different answers in harmonic analysis and number theory.
Place a Dirac measure at each of the integers and you get a distribution that is close to being self-dual under the Fourier transfor …
- 12.6k
3
votes
Characterization of closed subspaces of $ L^2(R)$
I wouldn't say there is "nothing special" about $ L^2(R)$, which is a Hilbert space. Abstractly the structure of its closed subspaces (as orthocomplemented lattice, say) is the same as for any other s …
- 12.6k
3
votes
Analogues of the Riemann-Roch Theorem
I think this one is really for the historians. I would guess that the thinking goes back to Emil Artin, and would have been developed in his lectures. Some of that can be seen in the polished edition …
- 12.6k
9
votes
Is square of Delta function defined somewhere?
There are whole theories in microlocal analysis that deal with the issues here, I believe. Some heuristics are that the "singular support" of a distribution controls what it can be multiplied by in a …
- 12.6k
7
votes
How should an analytic number theorist look at Bessel functions?
From the point of view of analytic number theory, the point usually would be asymptotic behaviour. This is typically well understood, and is in the massive book of Watson. Apart from that, yes, numero …
- 12.6k