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Multi-operator colligations and multivariate characteristic functions

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Abstract

In the spectral theory of non-self-adjoint operators there is a well-known operation of product of operator colligations. Many similar operations appear in the theory of infinite-dimensional classical groups as multiplications of double cosets. We construct characteristic functions for such double cosets and get semigroups of inner matrix-valued functions in matrix balls.

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Authors and Affiliations

  1. Math. Dept., University of Vienna, Nordbergstrasse, 15, Vienna, Austria

    Yury A. Neretin

  2. Institute for Theoretical and Experimental Physics, Bolshaya Cheremushkinskaya, 25, 117259, Moscow, Russia

    Yury A. Neretin

  3. Mech. Math. Dept., Moscow State University, Vorob’evy Gory, Moscow, Russia

    Yury A. Neretin

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  1. Yury A. Neretin
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Correspondence to Yury A. Neretin.

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Yu. A. Neretin was Supported by grants FWF, P22122 and P19064.

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Neretin, Y.A. Multi-operator colligations and multivariate characteristic functions. Anal.Math.Phys. 1, 121–138 (2011). https://doi.org/10.1007/s13324-011-0009-y

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  • DOI: https://doi.org/10.1007/s13324-011-0009-y

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