Multi-operator colligations and multivariate characteristic functions

DOI10.1007/s13324-011-0009-yzbMath1253.47009arXiv1006.2275OpenAlexW1994604563MaRDI QIDQ692081

Yuriĭ A. Neretin

Publication date: 4 December 2012

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.2275

zbMATH Keywords

characteristic functionsdouble cosetsnon-selfadjoint operatorsproduct of operator colligations

Mathematics Subject Classification ID

Structure and classification of infinite or finite groups (20E99) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

Related Items (7)

On double cosets of groups GL (n) with respect to subgroups of block strictly triangular matrices ⋮ Several remarks on groups of automorphisms of free groups ⋮ Infinite symmetric groups and combinatorial constructions of topological field theory type ⋮ Sphericity and multiplication of double cosets for infinite-dimensional classical groups ⋮ Multiplication of conjugacy classes, colligations, and characteristic functions of matrix argument ⋮ Groups \(\mathrm{GL}(\infty)\) over finite fields and multiplications of double cosets ⋮ On the group of infinite \(p\)-adic matrices with integer elements

Cites Work

• Sphericity and multiplication of double cosets for infinite-dimensional classical groups
• New large groups of type I
• Classes of linear operators. Vol. II
• UNITARY OPERATOR COLLIGATIONS AND THEIR CHARACTERISTIC FUNCTIONS
• Infinite Tri-symmetric Group, Multiplication of Double Cosets, and Checker Topological Field Theories
• The multiplicative structure of 𝐽-contractive matrix functions
• ELEMENTARY SPHERICAL FUNCTIONS ON THE GROUPSL(2,P) OVER A FIELDP, WHICH IS NOT LOCALLY COMPACT, WITH RESPECT TO THE SUBGROUP OF MATRICES WITH INTEGRAL ELEMENTS
• Some remarks on the theory of spherical functions on symmetric Riemannian manifolds
• Determinantal hypersurfaces.
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