19,947 reputation
31647
bio website maths.lth.se/matematiklth/…
location Lund, Sweden
age 42
visits member for 2 years, 11 months
seen 15 mins ago

Associate professor, Lund University. Research interests: several complex variables, in particular pluripotential theory.


13h
comment Can the measure of zeroes of a harmonic function be positive?
@PhoemueX Two real variables $(x,y)$, one complex $z=x+iy$.
16h
comment Can the measure of zeroes of a harmonic function be positive?
@PhoemueX I interpreted the question as two real variables. (Seems supported by "unit disk" and "upper halfplane" as well.)
22h
revised Calculate integral of $\ln(z)$ using the residue theorem
typos
1d
comment A holomorphic function with non-vanishing derivative
I'm guessing that the book really proves that $f$ is injective on some neighbourhood of a point where $f'$ is non-zero. This is a little more complicated, and usually done via Rouché's theorem. For the result above, we don't really need that $f'$ is non-vanishing. (Just that $f'$ is not identically zero.)
1d
revised Can the measure of zeroes of a harmonic function be positive?
typo
1d
revised Complex integration along a curve
deleted 40 characters in body
1d
answered Complex integration along a curve
1d
answered Can the measure of zeroes of a harmonic function be positive?
2d
comment Area growth of harmonic functions
Small enough for what?
2d
reviewed Edit suggested edit on Let $L_{n}$ be a line in $\mathbb{R}^2$ for n = 1,2,3… Prove that $\cup_{n=1}^{\infty} L_n \ne \mathbb{R}^2$.
2d
revised Let $L_{n}$ be a line in $\mathbb{R}^2$ for n = 1,2,3… Prove that $\cup_{n=1}^{\infty} L_n \ne \mathbb{R}^2$.
Fixed infinity sign
Oct
15
answered Complex integration and simple curve
Oct
14
reviewed Close Discrete search for the hidden objects
Oct
14
reviewed Close dual of hilbert space and reisz representation theorem is the same
Oct
14
reviewed Leave Open Linearly dependent eigenvectors of a matrix
Oct
10
revised Proving the natural log inequality $\frac{3}{4} < \frac{1}{\sqrt{3}} \log(2 + \sqrt{3}) < \frac{\pi}{4}$
edited tags
Oct
10
comment Proving the natural log inequality $\frac{3}{4} < \frac{1}{\sqrt{3}} \log(2 + \sqrt{3}) < \frac{\pi}{4}$
How is this complex analysis? I've retagged the question.
Oct
10
comment Linear Algebra - Complex equation
$|z| = \sqrt{0^2 + 1^2} = 1$. (Note that $|z|$ is always positive real; measuring the distance between $z$ and $0$ in the complex plane.)
Oct
9
revised problem on a function being identically zero
added 2 characters in body
Oct
8
revised Adjusting with Multiple Variables
edited tags