ASSEMBLING RKHS WITH PICK KERNELS AND ASSEMBLING POLYHEDRA IN

IF 0.6 3区 数学 Q3 MATHEMATICS
R. Rochberg
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引用次数: 0

Abstract

. We study the geometry of Hilbert spaces with complete Pick kernels and the geometry of sets in complex hyperbolic space, taking advantage of the correspondence between the two topics. We focus on questions of assembling Hilbert spaces into larger spaces and of assembling sets into larger sets. Model questions include describing the possible three dimensional subspaces of four dimensional Hilbert spaces with Pick kernels and describing the possible triangular faces of a tetrahedron in CH n . A novel technical tool is a complex analog of the cosine of a vertex angle.
用pick kernel组装RKHS,并在其中组装多面体
。利用复双曲空间中集合的对应关系,研究了具有完全Pick核的Hilbert空间的几何问题和复双曲空间中集合的几何问题。我们关注的是将希尔伯特空间组合成更大的空间和将集合组合成更大的集合的问题。模型问题包括用匹克核描述四维希尔伯特空间的可能的三维子空间,以及描述CH n中四面体的可能的三角形面。一个新的技术工具是一个复杂的模拟顶点角的余弦。
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来源期刊
CiteScore
1.80
自引率
0.00%
发文量
58
审稿时长
4.5 months
期刊介绍: The Canadian Journal of Mathematics (CJM) publishes original, high-quality research papers in all branches of mathematics. The Journal is a flagship publication of the Canadian Mathematical Society and has been published continuously since 1949. New research papers are published continuously online and collated into print issues six times each year. To be submitted to the Journal, papers should be at least 18 pages long and may be written in English or in French. Shorter papers should be submitted to the Canadian Mathematical Bulletin. Le Journal canadien de mathématiques (JCM) publie des articles de recherche innovants de grande qualité dans toutes les branches des mathématiques. Publication phare de la Société mathématique du Canada, il est publié en continu depuis 1949. En ligne, la revue propose constamment de nouveaux articles de recherche, puis les réunit dans des numéros imprimés six fois par année. Les textes présentés au JCM doivent compter au moins 18 pages et être rédigés en anglais ou en français. C’est le Bulletin canadien de mathématiques qui reçoit les articles plus courts.
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