Geodesic
Assembling RKHS with Pick kernels and assembling polyhedra in $\mathbb {CH} ^{n}$
Canadian journal of mathematics, Tome 76 (2024) no. 5, pp. 1455-1495

Voir la notice de l'article provenant de la source Cambridge

DOI

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 $\mathbb {CH}^{n}$. A novel technical tool is a complex analog of the cosine of a vertex angle.
DOI : 10.4153/S0008414X23000469
Mots-clés : Hyperbolic space, tetrahedra, complete Pick property, vertex angles 
Rochberg, Richard. Assembling RKHS with Pick kernels and assembling polyhedra in $\mathbb {CH} ^{n}$. Canadian journal of mathematics, Tome 76 (2024) no. 5, pp. 1455-1495. doi: 10.4153/S0008414X23000469
@article{10_4153_S0008414X23000469,
     author = {Rochberg, Richard},
     title = {Assembling {RKHS} with {Pick} kernels and assembling polyhedra in $\mathbb {CH} ^{n}$},
     journal = {Canadian journal of mathematics},
     pages = {1455--1495},
     year = {2024},
     volume = {76},
     number = {5},
     doi = {10.4153/S0008414X23000469},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X23000469/}
}
TY  - JOUR
AU  - Rochberg, Richard
TI  - Assembling RKHS with Pick kernels and assembling polyhedra in $\mathbb {CH} ^{n}$
JO  - Canadian journal of mathematics
PY  - 2024
SP  - 1455
EP  - 1495
VL  - 76
IS  - 5
UR  - http://geodesic.mathdoc.fr/articles/10.4153/S0008414X23000469/
DO  - 10.4153/S0008414X23000469
ID  - 10_4153_S0008414X23000469
ER  - 
%0 Journal Article
%A Rochberg, Richard
%T Assembling RKHS with Pick kernels and assembling polyhedra in $\mathbb {CH} ^{n}$
%J Canadian journal of mathematics
%D 2024
%P 1455-1495
%V 76
%N 5
%U http://geodesic.mathdoc.fr/articles/10.4153/S0008414X23000469/
%R 10.4153/S0008414X23000469
%F 10_4153_S0008414X23000469

Cité par Sources :