» $\zeta$-functions via contour integrals and universal sum rules
22/08/25 09:00 from math.SP updates on arXiv.org
arXiv:2508.15699v1 Announce Type: cross Abstract: This work develops an analytic framework for the study of the $\zeta$-function associated with general sequences of complex numbers. We show that a contour integral representation, common...

» Perturbations of embedded eigenvalues of asymptotically periodic magnetic Schr\"odinger operators on a cylinder
22/08/25 09:00 from math.SP updates on arXiv.org
arXiv:2501.12817v2 Announce Type: replace-cross Abstract: We investigate the persistence of embedded eigenvalues for a class of magnetic Laplacians on an infinite cylindrical domain. The magnetic potential is assumed to be $C^2$ and asym...

» Riesz-means bounds for functional-difference operators for mirror curves
22/08/25 09:00 from math.SP updates on arXiv.org
arXiv:2508.07433v2 Announce Type: replace-cross Abstract: Let \( P \) and \( Q \) be the quantum-mechanical momentum and position operators on \( L^2(\R) \). Let $\zeta>0.$ We provide estimates for the {\it Riesz means} $\varkappa(\lambd...

» Matrix-Weighted Campanato Spaces: Duality and Calder\'on--Zygmund Operators
22/08/25 09:00 from math.FA updates on arXiv.org
arXiv:2508.15195v1 Announce Type: new Abstract: Let $p\in(0,\infty)$, $q\in[1,\infty)$, $s\in\mathbb Z_+$, and $W$ be an $A_p$-matrix weight, which in the scalar case is exactly a Muckenhoupt $A_{\max\{1,p\}}$ weight. In this article, by...

» Functional Liftings of Restricted Geometric Inequalities
22/08/25 09:00 from math.FA updates on arXiv.org
arXiv:2508.15247v1 Announce Type: new Abstract: We investigate what we term ``generalized sup-convolutions". We show that functional inequalities that enjoy an interpretation as sup-convolution inequalities can be deduced from the specia...

» Norms and Non-Equivalence in Infinite-Dimensional Banach Spaces
22/08/25 09:00 from math.FA updates on arXiv.org
arXiv:2508.15686v1 Announce Type: new Abstract: This work explores the interaction between different norms in infinite-dimensional vector spaces, focusing on their impact on Banach space structures and topological properties. We examine ...

» Equivariant representation theory for proper actions on discrete spaces
22/08/25 09:00 from math.OA updates on arXiv.org
arXiv:2508.14991v1 Announce Type: new Abstract: Starting from any proper action of any locally compact quantum group on any discrete quantum space, we show that its equivariant representation theory yields a concrete unitary 2-category o...

» Uncertainty Relation for the Wigner-Yanase Skew Information and Quantum Sobolev Inequalities
22/08/25 09:00 from math.FA updates on arXiv.org
arXiv:2508.15554v1 Announce Type: cross Abstract: This note explores uncertainty inequalities for quantum analogues of the Fisher information including the Wigner-Yanase skew information, and their connection to the quantum Sobolev inequ...