Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis

This book provides the foundations for a rigorous theory of functional analysis with bicomplex scalars. It begins with a detailed study of bicomplex and hyperbolic numbers, and then defines the notion of bicomplex modules. After introducing a number of norms and inner products on such modules (some...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Alpay, Daniel (Autor), Luna-Elizarrarás, Maria Elena (Autor), Shapiro, Michael (Autor), Struppa, Daniele C. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Colección:SpringerBriefs in Mathematics,
Temas:
Functions of complex variables.
Functional analysis.
Operator theory.
System theory.
Control theory.
Functions of a Complex Variable.
Functional Analysis.
Operator Theory.
Systems Theory, Control .
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 1. Bicomplex and hyperbolic numbers
  • 2. Bicomplex functions and matrices
  • 3. BC-modules
  • 4. Norms and inner products on BC-modules
  • 5. Linear functionals and linear operators on BC-modules
  • 6. Schur analysis.

Ejemplares similares