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 6651
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.
3
votes
If the fourier transformed of f is odd, is f odd?
Yes. Using tempered distributions it's immediately obvious, since $f = C \mathcal{F}^3 (\mathcal{F} f)$ for a constant $C$, and $\mathcal{F}$ maps odd distributions into odd distributions.
The missi …
- 1,990
2
votes
Fourier Series application for dissertation
Fourier series are useful (and sometimes essential) for solving/understanding many problems involving periodic functions on $\mathbb{R}$ or, equivalently, functions $f$ on $[a,b]$ such that $f(a)=f(b) …
2
votes
Accepted
Understanding the inverse Laplace transform of a function with essential singularities
After taking a quick look at the paper, I agree with Robert Israel.
Almost no detailed justification is given (perhaps not surprising for a Physics journal...), and it seems to be not so easy to justi …
- 1,990
2
votes
The maximum of a real trigonometric polynomial
Even in the special case where $f(x) \geq 0$ for all $x$, there can't be any simple answer involving the coefficients $(a_n)$, $(b_n)$. You're basically asking to estimate the $L^\infty$ norm of a tri …
- 1,990
18
votes
1
answer
3k
views
Let a function f have all moments zero. What conditions force f to be identically zero?
Throughout, let $f$ be a Lebesgue measurable function (or continuous if you wish, but this is probably no easier). (Questions with distributions etc. are possible also but I want to keep things simple …
- 1,990
10
votes
When I can safely assume that a function is a Laplace transform of other function?
This kind of question is very interesting, and I too would like to know answers.
Sorry to self-publicise; I hope it's not regarded as impolite, but since I have also considered this exact kind of ques …
- 1,990