Applied Pseudoanalytic Function Theory

Pseudoanalytic function theory generalizes and preserves many crucial features of complex analytic function theory. The Cauchy-Riemann system is replaced by a much more general first-order system with variable coefficients which turns out to be closely related to important equations of mathematical...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Kravchenko, Vladislav V. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2009.
Edición:1st ed. 2009.
Colección:Frontiers in Mathematics,
Temas:
Differential equations.
Mathematical physics.
Operator theory.
Functions of complex variables.
Differential Equations.
Mathematical Methods in Physics.
Operator Theory.
Functions of a Complex Variable.
Several Complex Variables and Analytic Spaces.
Acceso en línea:Texto Completo
Descripción
Sumario:Pseudoanalytic function theory generalizes and preserves many crucial features of complex analytic function theory. The Cauchy-Riemann system is replaced by a much more general first-order system with variable coefficients which turns out to be closely related to important equations of mathematical physics. This relation supplies powerful tools for studying and solving Schrödinger, Dirac, Maxwell, Klein-Gordon and other equations with the aid of complex-analytic methods. The book is dedicated to these recent developments in pseudoanalytic function theory and their applications as well as to multidimensional generalizations. It is directed to undergraduates, graduate students and researchers interested in complex-analytic methods, solution techniques for equations of mathematical physics, partial and ordinary differential equations.
Descripción Física:XII, 184 p. online resource.
ISBN:9783034600040
ISSN:1660-8054

Ejemplares similares