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

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Atheroma

Quaternions and Matrices,tead of quaternionic matrices, complex matrices of double size. For more information about quaternionic matrices, the interested reader may consult, e.g., Rodman’s book [97]. We also recall the notions of Pontryagin and Krein spaces which will be useful in the sequel.

BLA

Slice Hyperholomorphic Functions,s different ways. The notion of hyperholomorphicity which looks more suitable for some applications to operator theory is the so-called slice hyperholomorphicity; this is the main object of this chapter. This function theory has been evolving rapidly and for more information, the reader may consult

paradigm

Rational Functions, of quaternionic operator theory. It is always of interest to study the finite dimensional version of general results, and rational functions intervene in such cases (see, e.g., Corollaries . and . in Chapter .).

協(xié)議

The Characteristic Operator Function,e some properties of the characteristic operator function, also providing some examples. We then move to inverse problems under assumptions on the behavior at infinity, but of course other situations might be considered. We believe that this chapter can be developed in various directions and that it

離開真充足

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.

STALE

inundate

cludes supplementary material: .The book deals with the modelling of steady state and non-steady state basic processes of fibre formation and fibre processing. Focal points are melt spinning processes (polymers and glass, drawing, spunbonded nonwoven), spun yarn spinning processes (drafting, carding

abracadabra

Daniel Alpay,Fabrizio Colombo,Irene Sabadinicludes supplementary material: .The book deals with the modelling of steady state and non-steady state basic processes of fibre formation and fibre processing. Focal points are melt spinning processes (polymers and glass, drawing, spunbonded nonwoven), spun yarn spinning processes (drafting, carding

aphasia

Daniel Alpay,Fabrizio Colombo,Irene Sabadinicludes supplementary material: .The book deals with the modelling of steady state and non-steady state basic processes of fibre formation and fibre processing. Focal points are melt spinning processes (polymers and glass, drawing, spunbonded nonwoven), spun yarn spinning processes (drafting, carding