Applied Pseudoanalytic Function Theory by Vladislav V. Kravchenko.

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...

Full description

Saved in:

Bibliographic Details
Main Author:	Kravchenko, Vladislav V. (Author)
Corporate Author:	SpringerLink (Online service)
Format:	eBook
Language:	English
Published:	Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2009.
Edition:	1st ed. 2009.
Series:	Frontiers in Mathematics, Springer eBook Collection.
Subjects:	Partial differential equations. Physics. Operator theory. Functions of complex variables. Electronic resources (E-books)
Online Access:	Click to view e-book
Holy Cross Note:	Loaded electronically. Electronic access restricted to members of the Holy Cross Community.

Table of Contents:

Pseudoanalytic Function Theory and Second-order Elliptic Equations
Definitions and Results from Bers’ Theory
Solutions of Second-order Elliptic Equations as Real Components of Complex Pseudoanalytic Functions
Formal Powers
Cauchy’s Integral Formula
Complex Riccati Equation
Applications to Sturm-Liouville Theory
A Representation for Solutions of the Sturm-Liouville Equation
Spectral Problems and Darboux Transformation
Applications to Real First-order Systems
Beltrami Fields
Static Maxwell System in Axially Symmetric Inhomogeneous Media
Hyperbolic Pseudoanalytic Functions
Hyperbolic Numbers and Analytic Functions
Hyperbolic Pseudoanalytic Functions
Relationship between Hyperbolic Pseudoanalytic Functions and Solutions of the Klein-Gordon Equation
Bicomplex and Biquaternionic Pseudoanalytic Functions and Applications
The Dirac Equation
Complex Second-order Elliptic Equations and Bicomplex Pseudoanalytic Functions
Multidimensional Second-order Equations.

Applied Pseudoanalytic Function Theory by Vladislav V. Kravchenko.

Similar Items