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Q&A for professional mathematicians
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Hottest Questions Today - MathOverflow
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I hope everyone is doing well. Let $K \subset \mathbb{R}^n$ be a centrally symmetric convex body $(K = -K)$. Denote by $K \mid H$ the orthogonal projection of $K$ onto $H$, where $H$ is an $n - 1$
Mathoverflow.net news digest
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Extreme points of the bounded Hessian ball
Let $BH(\mathbb{R}^2)$ be the space of distributions $u$ such that $\nabla^2 u$ is a matrix-valued Radon measure, with norm $\|u\|_{BH} = \|\nabla^2 u\|_{\mathcal{M}(\mathbb{R}^2)^{2 \times 2}}$.
Consider the unit ball $\mathcal{B}_{BH} = \{u : \|u\|_{BH} \le 1\}$.... -
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Expression for the half-wave propagator $e^{it\sqrt{\Delta}}$ microlocalized alo...
Note: I'm actively learning this material, so if I say anything inaccurate or confusing, please feel free to leave a comment.
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I'm looking for a description of the propagator $U(t)=e^{it\sqrt{\Delta}}$ microlocalized along a geometrically diffractive geodesic. If $M$ is a Euclidean surface with conical singularities and $\gamma$ is a geodesic with a diffraction at a conical... -
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Density of good approximations of irrational torus rotations
Given an irrational rotation $\omega \in \mathbb T^d$, we may define the set$$S_\gamma = \{m \in \mathbb Z^d: \|\langle \omega,m\rangle\|_{\mathbb T} < |m|^{-\gamma}\},$$and the densities$$A_\gamma(N) = \{m \in S_\gamma : |m| \leq N\}.$$I am particularly...
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Properties of the numerical semigroup of very ample multiples of an ample diviso...
Let $L$ be an ample divisor. Let $S$ denotes the set of positive integers $n$ such that $L^{\otimes n}$ is very ample. From properties of ample and very ample divisor, we have that $a, b\in S\implies a+b\in S$, and that $S$ contains all but finitely...
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