A. Hinrichs

activity

20022023

most citedThe Curse of Dimensionality for Numerical Integration of Smooth Functions II

47 citations · 331 across the 35 of their papers we have counts for

collaborators

Showing math.FAShow all

10 papers · 1 filter

math.FA2021

Countable Tensor Products of Hermite Spaces and Spaces of Gaussian Kernels

M. Gnewuch, M. Hefter, A. Hinrichs +1

In recent years finite tensor products of reproducing kernel Hilbert spaces (RKHSs) of Gaussian kernels on the one hand and of Hermite spaces on the other hand have been considered…

math.FA2021★ 2 cited

Random sections of $ℓ_{p}$ -ellipsoids, optimal recovery and Gelfand numbers of diagonal operators

Aicke Hinrichs, Joscha Prochno, Mathias Sonnleitner

We study the circumradius of a random section of an $ℓ_{p}$ -ellipsoid, $0 < p \leq \infty$ , and compare it with the minimal circumradius over all sections with subspaces of the same c…

math.FA2020

Gelfand numbers of embeddings of Schatten classes

Aicke Hinrichs, Joscha Prochno, Jan Vybíral

Let $0 < p, q \leq \infty$ and denote by $S_{p}^{N}$ and $S_{q}^{N}$ the corresponding Schatten classes of real $N \times N$ matrices. We study the Gelfand numbers of natura…

math.FA2019★ 33 cited

Random sections of ellipsoids and the power of random information

Aicke Hinrichs, David Krieg, Erich Novak +2

We study the circumradius of the intersection of an $m$ -dimensional ellipsoid $E$ with semi-axes $σ_{1} \geq \dots \geq σ_{m}$ with random subspaces of codimension $n$ . We find t…

math.FA2016

Entropy numbers of embeddings of Schatten classes

Aicke Hinrichs, Joscha Prochno, Jan Vybiral

Let $0 < p, q \leq \infty$ and denote by $S_{p}^{N}$ and $S_{q}^{N}$ the corresponding finite-dimensional Schatten classes. We prove optimal bounds, up to constants only dep…

math.FA2015

Carl's inequality for quasi-Banach spaces

Aicke Hinrichs, Anton Kolleck, Jan Vybiral

We prove that for any two quasi-Banach spaces $X$ and $Y$ and any $α > 0$ there exists a constant $γ_{α} > 0$ such that $$ \sup_{1\le k\le n}k^αe_k(T)\le γ_α\sup_{1\le k\le n} k^αc_k(T)…