Titlebook: Quaternionic de Branges Spaces and Characteristic Operator Function; Daniel Alpay,Fabrizio Colombo,Irene Sabadini Book 2020 The Author(s),

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Canonical Differential Systems,uch systems in the quaternionic setting, in particular in the case of rational spectral data. We foresee that these systems have potentially several applications, for example, to non-linear partial differential equations and inverse scattering.

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Operator Models,In [98], Rota studied models for linear operators in a Hilbert space: he proved that every linear operator . with spectral radius less than 1 is similar to the restriction of the adjoint of the unilateral shift . to a suitable invariant subspace.

linear

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-Contractive Functions,As explained in the introduction there are (at least) three important families of reproducing kernel Hilbert spaces introduced by de Branges and Rovnyak, and used in operator models and related topics. In the previous section we studied the quaternionic counterpart of . spaces. In this section and in the next one we study . spaces in this setting.

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Exploiting Bacterial Genomes to Develop Biomarkers for Identification,ary help. Although bacteria have been perceived as pathogens to most living beings, the most critical are the ones which infect human being. Bacteria also harbour the human gut and skin and have been shown to be helpful. The pathogenic bacteria cause diseases and contribute to ill health. The need i

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