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 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.
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Choquet Integral and Monotone Sublinear Operators
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Exploring Information Geometry
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Lie Models for Spaces
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Hoop Algebras
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Mild Differentiability Conditions for Newton's Method in Banach Spaces
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Heat Kernel on Lie Groups and Maximally Symmetric Spaces
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Direct and Inverse Sturm-Liouville Problems
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Algebraic Approximation: A Guide to Past and Current Solutions
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Advances in the Theory of Varieties of Semigroups
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Developments of Harmonic Maps, Wave Maps and Yang-Mills Fields into Biharmonic Maps, Biwave Maps and Bi-Yang-Mills Fields
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Poncelet Porisms and Beyond
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Stability of Vector Differential Delay Equations
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Applications of Holomorphic Functions in Geometry
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A Primer for a Secret Shortcut to PDEs of Mathematical Physics
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Ulam’s Conjecture on Invariance of Measure in the Hilbert Cube
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Functional Analysis in Asymmetric Normed Spaces
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Topics in Uniform Approximation of Continuous Functions
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Infinite Matrices and their Finite Sections
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Oblique Derivative Problems for Elliptic Equations in Conical Domains
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Approximation of Additive Convolution-Like Operators
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Flag-transitive Steiner Designs
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Functions of Omega-Bounded Type
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q-Clan Geometries in Characteristic 2
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Lifting Modules
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Homotopy Theory of C*-Algebras
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The Geometry of Filtering
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Functional Identities
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Bicomplex Holomorphic Functions
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Module Theory, Extending Modules and Generalizations
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Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws
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Positive Solutions to Indefinite Problems
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Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets
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Geometric Analysis of Quasilinear Inequalities on Complete Manifolds
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Special Functions and Generalized Sturm-Liouville Problems
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Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization
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Global Well-posedness of Nonlinear Parabolic-Hyperbolic Coupled Systems
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Shafarevich-Tate Groups
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Variational and Monotonicity Methods in Nonsmooth Analysis
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Quaternionic Approximation
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Newton's Method: an Updated Approach of Kantorovich's Theory
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Introduction to Complex Theory of Differential Equations
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Extremum Problems for Eigenvalues of Elliptic Operators
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Artinian Modules over Group Rings
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Exponentially Convergent Algorithms for Abstract Differential Equations
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Geometric Qp Functions
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Schwarz-Pick Type Inequalities
From the reviews:
“This book presents a renaissance of Bers’ and Vekua’s theoryIt can be recommended to colleagues which are interested in the plane function theory.” (Michael Reissig, Zentralblatt MATH, Vol. 1182, 2010)| SKU | Unavailable |
| ISBN 13 | 9783034600033 |
| ISBN 10 | 3034600038 |
| Title | Applied Pseudoanalytic Function Theory |
| Author | Vladislav V Kravchenko |
| Series | Frontiers In Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Birkhauser Verlag AG |
| Year published | 2009-05-13 |
| Number of pages | 184 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |