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Generalized Analytic Functions Book

Generalized Analytic Functions
Generalized Analytic Functions, An intensive development of the theory of generalized analytic functions started when methods of Complex Analysis were combined with methods of Functional Analysis, especially with the concept of distributional solutions to partial differential equations., Generalized Analytic Functions has a rating of 4.5 stars
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Generalized Analytic Functions, An intensive development of the theory of generalized analytic functions started when methods of Complex Analysis were combined with methods of Functional Analysis, especially with the concept of distributional solutions to partial differential equations., Generalized Analytic Functions
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  • Generalized Analytic Functions
  • Written by author Helmut Florian
  • Published by Springer-Verlag New York, LLC, December 2009
  • An intensive development of the theory of generalized analytic functions started when methods of Complex Analysis were combined with methods of Functional Analysis, especially with the concept of distributional solutions to partial differential equations.
  • An intensive development of the theory of generalized analytic functions started when methods of Complex Analysis were combined with methods of Functional Analysis, especially with the concept of distributional solutions to partial differential equations.
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Authors

Preface
Contributing Authors
Laudatio
1Generalized Analytic Functions in Mathematical Analysis3
2On Singular Integral Equations Approach to Generalized Analytic Functions17
3On Some Classes of Pseudo-Analytic Functions27
4Some Yugoslavian Contributions to the Theory of Generalized Analytic Functions33
5Applications of Reproducing Kernels to Partial Differential Systems41
6Transmutations in Differential Rings55
7Solution of Initial Value Problems for Pseudoholomorphic Functions in Conical Domains65
8The Contraction-Mapping Principle - Some Associated Optimization Problems69
9On the Optimization of the Set of Definition of Operators in Applications of the Contraction-Mapping Principle to Differential Equations73
10Generalized Analytic Functions in Multidimensional Spaces77
11Overdetermined Systems of Second Order Elliptic Equations in Several Complex Variables89
12On the Boundary Behaviour of Polyanalytic Functions of Two Variables in Jordan Bicylinders111
13Generalized Analytic Functions in Differential Geometry127
14The Brothers Riesz Theorem: Complex and Real Versions139
15On the Theory of Series of Exponentials151
16A Boundary-Finite Element Method for Potential Flow Past an Airfoil157
17Boundary Value Problems of Nonlinear Elastostatics183
18On Some Regularity Results for Hemivariational Inequalities197
19Underwater Acoustics215
20Asymptotic Methods in Underwater Acoustics229
21Comparison of the Parabolic Approximation with Residue Calculus in Ocean Acoustics241
22Some Inverse Problems in Stratified Media255
23A Note on the Global Existence and Decay of Solutions of Systems of Parabolic Conservation Laws265
24Analytical and Numerical Treatment of Hele-Shaw Models With and Without Regularization271
25Generalized Analytic Functions in Mechanics289
26Integrability and the Schrodinger Equation299


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