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Results tagged with fourier-analysis
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user 39717
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
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1
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165
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Sets $E$ in $\mathbb{Z}$ such that any $l^2$ function with support on $E$ comes from Fourier...
Are there infinite sets $E\subset\mathbb{Z}$ such that any $f\in l^2(\mathbb{Z})$ with support on $E$ comes from the Fourier transform of a continuous function on $\mathbb{T}$ ? If yes, is there a cha …
- 647
1
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0
answers
129
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Differentiability of $f*g$ on the circle, for integrable f, bounded g, and some decay of the...
If $f\in L^1(\mathbb{T})$ and $g\in L^\infty(\mathbb{T})$ where $\mathbb{T}$ is the circle, such that $\hat{f}\in L^{p}(\mathbb{Z})$ for some $1\leq p<\infty$, do we have that $f*g$ is differentiable …
- 647