5 papers
Dual-Polarized Rate-Splitting Multiple Access for mmWave Communications: A Practical Design and Prototype Implementation
Álvaro Pendás-Recondo, Álvaro F. Vaquero, Jesús Alberto López-Fernández +1
This work presents a dual-polarized rate-splitting multiple access (RSMA) design for millimeter-wave (mmWave) or frequency range 2 (FR2) communications. Focusing on a practical imp…
Nonclassical Weyl laws and Connes' Integration for weak Lorentz ideals, II
Raphael Ponge, Yongqiang Tian
This is the second in a series of papers on Connes' integration in weak Lorentz ideals. Building on the Dixmier trace theory, Birman--Solomyak perturbation theory, and strong measu…
Nonclassical Weyl laws and Connes' Integration for weak Lorentz ideals, I
Raphael Ponge, Yongqiang Tian
Motivated by nonclassical Weyl laws arising in various contexts (including Connes' approach to the Riemann Hypothesis), we develop a systematic theory of Dixmier traces and Connes'…
Spectral Asymptotics for Quantized Derivatives on Quantum Euclidean Spaces
Yongqiang Tian
We obtain spectral asymptotics for the quantized derivatives of elements from the first-order homogeneous Sobolev space on the quantum Euclidean space, extending an earlier result…
Extended zeta-function residues on principal ideals
Yongqiang Tian, Alexandr Usachev
We study extended zeta-function residues on principal ideals of compact operators and their connections with Dixmier traces. We establish a Lidskii-type formula for continuous sing…