J. Swail's user avatar
J. Swail's user avatar
J. Swail's user avatar
J. Swail
  • Member for 1 year, 11 months
  • Last seen this week
12 votes
2 answers
630 views

Does there exist an upper bound on the Fourier coefficients of the reciprocal theta function $\frac {1}{\theta}$?

6 votes
2 answers
157 views

Does the (distributional) support of the Fourier transform of an $L^p$-function with $p<\infty$ have positive measure?

6 votes
2 answers
301 views

Is there a way to reconstruct the convolution $(f * g)(x)$ of $f$ with a Gaussian $g$ from sampled values, $(f*g)(a), a \in A$?

5 votes
2 answers
604 views

Checking that the image of a curve is not contained in a hyperplane

4 votes
1 answer
324 views

Showing that $\sum_{n=0}^\infty (4n+1)q^{\left (\frac{4n+1}{2}\right)^2} - \sum_{n=1}^\infty (4n-1)q^{\left (\frac{4n-1}{2}\right)^2} \geq 0.1$

3 votes
0 answers
242 views

Injectivity of the convolution operator $f \mapsto (k*f(s))_{s \in S}$ via sampling at $S=\alpha \mathbb Z$

3 votes
2 answers
78 views

Properties of functions provided that the integral equation $\int_x^1 a(y-x)a(y) \, dy = \int_x^1 b(y-x)b(y) \, dy$ holds for $x \in [0,1]$

2 votes
1 answer
174 views

Uniqueness of holomorphic functions up to the boundary

2 votes
1 answer
266 views

$L^2$-convergence of a series of translates $\sum_{n=-\infty}^\infty a_n f(\cdot - n)$

2 votes
0 answers
161 views

Density of $\mathrm{span} \{ f(\cdot - n) : n \in \Bbb Z \}$ in $C(\mathbb R)$

1 vote
2 answers
153 views

Linear independence of translates of a function $\{ \phi(\cdot - x) : x \in \mathcal F \}$

1 vote
0 answers
50 views

Stable deconvolution of a band-limited function from its convolution with a Gaussian

1 vote
1 answer
65 views

Under which assumptions is $e^{ig(t)}f(t)$ of exponential type if $f$ is of exponential type?

1 vote
0 answers
53 views

A statement on completeness of complex exponentials