370 reputation
19
bio website wisdom.weizmann.ac.il/…
location Israel
age
visits member for 2 years, 5 months
seen Oct 11 at 7:09

Jul
2
awarded  Curious
Jun
5
answered Property/Relations using Fourier series/transform, which give complete information about all the jump singularities of a function.
Jun
2
accepted Is the following conjecture regarding rotational iterates of collection of points on a circle true?
Jun
2
comment Is the following conjecture regarding rotational iterates of collection of points on a circle true?
@Anthony Quas: This comes from estimating condition numbers of Vandermonde matrices with nodes on the circle.
Jun
2
comment Is the following conjecture regarding rotational iterates of collection of points on a circle true?
Since your rescale everything to $[0,1)$, I think $\alpha$ should be multiplied by $\pi$. Also, could you please provide more intuition regarding the usage of the Dirichlet principle? Thanks!
Jun
1
asked Is the following conjecture regarding rotational iterates of collection of points on a circle true?
May
12
comment Inverse of matrix of generalised harmonic numbers
@ChristianRemling: Unfortunately, this is not the case. $H^{-1}$ does have negative entries (as does the inverse of the Hilbert matrix), so even for a 2-by-2 case the matrix $H^{-1}R-I$ has $O(1)$ entries.
May
11
comment Inverse of matrix of generalised harmonic numbers
@ChristianRemling: the problem is that one cannot write $R=H(I+O(1/n))$ in this case. Rather, $O(1/n)H$ stands for a matrix whose $i,j$-th entry is $O(1/n)$ times the $i,j$-th entry of $H$.
May
11
awarded  Informed
May
11
asked Inverse of matrix of generalised harmonic numbers
May
4
asked Estimating decay of certain trigonometric polynomials
Apr
30
asked What is the space of pairwise distances associated with $n$-tuples of points on a circle?
Jan
22
revised Determinant of $V^* V$ where $V$ is rectangular Vandermonde matrix with nodes on unit circle
Typo
Jan
22
comment Determinant of $V^* V$ where $V$ is rectangular Vandermonde matrix with nodes on unit circle
Benjamin, thanks for the reference to Cauchy-Binet. However it does not seem to be helpful straight away. First notice that $N>k$ and thus the maximal minors would be $k\times k$. Second, these minors are definitely NOT the usual Vandermonde because they would involve non-consecutive powers of the $z$ variables. For instance, if $k=3$ and $N>5$ then there would be the minor $$\begin{pmatrix} z_1 & z_2 & z_3\\ z_1^3 & z_2^3 & z_3^3\\z_1^4 & z_2^4 & z_3^4 \end{pmatrix}.$$
Jan
22
revised Determinant of $V^* V$ where $V$ is rectangular Vandermonde matrix with nodes on unit circle
tag added
Jan
22
asked Determinant of $V^* V$ where $V$ is rectangular Vandermonde matrix with nodes on unit circle
May
24
awarded  Yearling
Apr
4
accepted Constructing a linear ODE for a product of two holonomic functions without introducing additional singularities
Apr
4
comment Constructing a linear ODE for a product of two holonomic functions without introducing additional singularities
Thanks Manuel! That kind of things is exactly what I needed.
Mar
31
comment Constructing a linear ODE for a product of two holonomic functions without introducing additional singularities
Since my German is nonexistent, could you please pinpoint the location in the paper where they talk about the case of one singular point? Also, I couldn't figure out if they always assume that the solutions of the ODEs are entire functions...