Titlebook: Slice Hyperholomorphic Schur Analysis; Daniel Alpay,Fabrizio Colombo,Irene Sabadini Book 2016 Springer International Publishing Switzerlan

Needlework

从容

Finite-dimensional Preliminariesh the notion of left and right spectrum and with the so-called .spectrum. Finally, we present the Jordan decomposition of a matrix. In the fourth and last section we consider some matrix equations which appear in the sequel.

electrolyte

Germinate

Quaternionic Functional Analysisarguments as in the classical case, since they do not rely on specific properties of complex numbers that do not hold for quaternions. In some cases we repeat here the arguments to show that indeed they carry out.

SNEER

expansive

Rational Functions-valued rational functions (that is, of matrices whose entries are quotients of polynomials). Note that realizations of elements in certain classes of operator-valued analytic functions have been considered in Section 1.6.

CLAIM

Schur Analysisustrated by the works of Schur [261, 262], Takagi [270, 271], and Bloch [98], to name a few. They play an important role in numerous areas of mathematics, and can be characterized in a number of ways. By the name . one means a collection of problems pertaining to Schur functions in function theory,

嘲弄

Affectation

linguistics

Slice Hyperholomorphic Functions in the sequel. The theory is much more developed and we refer the reader to the Introduction to Part II of the present work for references. Then, the Sections from 6.2 to 6.5 focus on the functions slice hyperholomorphic in the unit ball. We define in particular the Hardy space of the ball, Schur f