Titlebook: Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis; Daniel Alpay,Maria Elena Luna-Elizarrarás,Daniele Boo

过时

渗透

CW Optically Pumped Molecular Iodine LaserThis chapter gives a review of known and new properties of bicomplex holomorphic functions as well as bicomplex analogues of some properties of matrices with real and complex entries.

争吵

香料

Gains and Line Widths for SMBS in GasesThis chapter treats, in the bicomplex context, the basic properties of linear functionals and linear operators. The notion of boundedness is given in terms of hyperbolic valued norms, thus allowing more similarity with the classical case. The bicomplex analogs of polarization identities are presented.

含沙射影

Single-Frequency SMBS Ring LaserThis last chapter is an application of the previous results, and it begins with a study of Schur analysis in the bicomplex setting. Further results, and in particular the associated theory of linear systems, will be presented elsewhere.

LURE

Gerontology

,-Modules,The chapter deals with the definition of a bicomplex module and some structures induced on it by the properties of bicomplex scalars. It is shown how one can construct a bicomplex module beginning with a pair of complex linear spaces.

美色花钱

orient

Schur Analysis,This last chapter is an application of the previous results, and it begins with a study of Schur analysis in the bicomplex setting. Further results, and in particular the associated theory of linear systems, will be presented elsewhere.

Gossamer