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作者：Kashiwara, Masaki; Kim, Myungho; Oh, Se-jin; Park, Euiyong
作者单位：Kyoto University; Korea Institute for Advanced Study (KIAS); Kyung Hee University; Sungkyunkwan University (SKKU); University of Seoul
摘要：We introduce a new family of real simple modules over the quantum affine algebras, called the affine determinantial modules, which contains the Kirillov-Reshetikhin (KR)-modules as a special subfamily, and then prove T-systems among them which generalize the T-systems among KR-modules and unipotent quantum minors in the quantum unipotent coordinate algebras simultaneously. We develop new combinatorial tools: admissible chains of i\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{w...
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作者：Guo, Shaoming; Wang, Hong; Zhang, Ruixiang
作者单位：Nankai University; University of Wisconsin System; University of Wisconsin Madison; New York University; University of California System; University of California Los Angeles; University of California System; University of California Berkeley
摘要：In this paper, we first generalize the work of Bourgain (Geom. Funct. Anal. 1(4):321-374, 1991) and state a curvature condition for H & ouml;rmander-type oscillatory integral operators, which we call Bourgain's condition. This condition is notably satisfied by the phase functions for the Fourier restriction problem and the Bochner-Riesz problem. We conjecture that for H & ouml;rmander-type oscillatory integral operators satisfying Bourgain's condition, they satisfy the same L-p bounds as in th...
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作者：Eckhardt, Jonathan; Kostenko, Aleksey
作者单位：Loughborough University; University of Ljubljana; University of Vienna; Technische Universitat Wien
摘要：Generalized indefinite strings provide a canonical model for self-adjoint operators with simple spectrum (other classical models are Jacobi matrices, Krein strings and 2x2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$2\times 2$\end{document} canonical systems). We prove a number of Szeg & odblac;-type theorems for...
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作者：Appel, Andrea; Toledano Laredo, Valerio
作者单位：University of Parma; Istituto Nazionale di Fisica Nucleare (INFN); Northeastern University
摘要：Let g\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathfrak {g}$\end{document} be a symmetrisable Kac-Moody algebra and V\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\odd...
