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pro vyhledávání: '"Samuelsen, Helge Jørgen"'
Autor:
Samuelsen, Helge Jørgen
We introduce the notion of decoupling for operators, and prove an equivalence between classical $\ell^qL^p$ decoupling for functions and $\ell^q\mathcal{S}^p$ decoupling for operators on bounded sets in $\mathbb{R}^{2d}$. We also show that the equiva
Externí odkaz:
http://arxiv.org/abs/2407.17109
Autor:
Luef, Franz, Samuelsen, Helge Jørgen
We formulate a variant of Fourier restriction for operators in Schatten classes, where the Fourier-Wigner transform of a bounded operator replaces the Fourier transform of a function. The Fourier-Wigner transform is closely related to the group Fouri
Externí odkaz:
http://arxiv.org/abs/2407.16259
In this paper we prove a uniform Fourier restriction estimate over the class of simple curves where the last coordinate function can be extended to a holomorphic function of bounded frequency in a sufficiently large disc. The proof is based on a deco
Externí odkaz:
http://arxiv.org/abs/2303.11693