Transformations, Transmutations, and Kernel Functions

Transformations, Transmutations, and Kernel Functions PDF Author: H Begehr
Publisher: CRC Press
ISBN: 9780582091092
Category : Mathematics
Languages : en
Pages : 286

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Book Description
Complex analytical methods are a powerful tool for special partial differential equations and systems. To make these methods applicable for a wider class, transformations and transmutations are used.

Transformations, Transmutations, and Kernel Functions

Transformations, Transmutations, and Kernel Functions PDF Author: H Begehr
Publisher: CRC Press
ISBN: 9780582091092
Category : Mathematics
Languages : en
Pages : 286

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Book Description
Complex analytical methods are a powerful tool for special partial differential equations and systems. To make these methods applicable for a wider class, transformations and transmutations are used.

Transformations, Transmutations, and Kernel Functions, Volume II

Transformations, Transmutations, and Kernel Functions, Volume II PDF Author: H Begehr
Publisher: CRC Press
ISBN: 100094655X
Category : Mathematics
Languages : en
Pages : 280

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Book Description
Complex analytical methods are a powerful tool for special partial differential equations and systems. To make these methods applicable for a wider class, transformations and transmutations are used.

Transformations, Transmutations, and Kernel Functions, Volume I

Transformations, Transmutations, and Kernel Functions, Volume I PDF Author: Heinrich G. W. Begehr
Publisher: Chapman and Hall/CRC
ISBN:
Category : Mathematics
Languages : en
Pages : 424

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Book Description
A broad ranging collection of recent results in the subject covering areas from plane elasticity to second and higher order elliptic equations. The chapters may be read individually, providing a more accessible forum for the applications.

Analysis and Topology

Analysis and Topology PDF Author: Simion Stoilow
Publisher: World Scientific
ISBN: 9789810227616
Category : Mathematics
Languages : en
Pages : 744

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Book Description
The goal of this book is to investigate further the interdisciplinary interaction between Mathematical Analysis and Topology. It provides an attempt to study various approaches in the topological applications and influence to Function Theory, Calculus of Variations, Functional Analysis and Approximation Theory. The volume is dedicated to the memory of S Stoilow.

Partial Differential and Integral Equations

Partial Differential and Integral Equations PDF Author: Heinrich Begehr
Publisher: Springer Science & Business Media
ISBN: 1461332761
Category : Mathematics
Languages : en
Pages : 367

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Book Description
This volume of the Proceedings of the congress ISAAC '97 collects the con tributions of the four sections 1. Function theoretic and functional analytic methods for pde, 2. Applications of function theory of several complex variables to pde, 3. Integral equations and boundary value problems, 4. Partial differential equations. Most but not all of the authors have participated in the congress. Unfortunately some from Eastern Europe and Asia have not managed to come because of lack of financial support. Nevertheless their manuscripts of the proposed talks are included in this volume. The majority of the papers deal with complex methods. Among them boundary value problems in particular the Riemann-Hilbert, the Riemann (Hilbert) and related problems are treated. Boundary behaviour of vector-valued functions are studied too. The Riemann-Hilbert problem is solved for elliptic complex equations, for mixed complex equations, and for several complex variables. It is considered in a general topological setting for mappings into q;n and related to Toeplitz operators. Convolution operators are investigated for nilpotent Lie groups leading to some consequences for the null space of the tangential Cauchy Riemann operator. Some boundary value problems for overdetermined systems in balls of q;n are solved explicitly. A survey is given for the Gauss-Manin connection associated with deformations of curve singularities. Several papers deal with generalizations of analytic functions with various applications to mathematical physics. Singular integrals in quaternionic anal ysis are studied which are applied to the time-harmonic Maxwell equations.

Inverse Problems and Spectral Theory

Inverse Problems and Spectral Theory PDF Author: Hiroshi Isozaki
Publisher: American Mathematical Soc.
ISBN: 0821834215
Category : Mathematics
Languages : en
Pages : 258

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Book Description
This volume grew out of a workshop on spectral theory of differential operators and inverse problems held at the Research Institute for Mathematical Sciences (Kyoto University). The gathering of nearly 100 participants at the conference suggests the increasing interest in this field of research. The focus of the book is on spectral theory for differential operators and related inverse problems. It includes selected topics from the following areas: electromagnetism, elasticity, the Schrodinger equation, differential geometry, and numerical analysis. The material is suitable for graduate students and researchers interested in inverse problems and their applications.

Functional Analytic Methods In Complex Analysis And Applications To Partial Differential Equations

Functional Analytic Methods In Complex Analysis And Applications To Partial Differential Equations PDF Author: A S A Mshimba
Publisher: World Scientific
ISBN: 9814548537
Category :
Languages : en
Pages : 442

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Book Description
These proceedings concentrate on recent results in the following fields of complex analysis: complex methods for solving boundary value problems with piecewise smooth boundary data, complex methods for linear and nonlinear differential equations and systems of second order, and applications of scales of Banach spaces to initial value problems.Some problems in higher dimensions (such as the unification of global and local existence theorems for holomorphic functions and an elementary approach to Clifford analysis) are also discussed.Particular emphasis is placed on Symbolic Computation in Complex Analysis and on the new approaches to teach mathematical analysis based on interactions between complex analysis and partial differential equations.

Trefftz and Collocation Methods

Trefftz and Collocation Methods PDF Author: Z-C. Li
Publisher: WIT Press
ISBN: 1845641531
Category : Technology & Engineering
Languages : en
Pages : 433

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Book Description
This title was reviewed in the January 2009 issue of Mathematical Reviews.

Analysis as a Life

Analysis as a Life PDF Author: Sergei Rogosin
Publisher: Springer
ISBN: 3030026507
Category : Mathematics
Languages : en
Pages : 329

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Book Description
This is a book comprising selected papers of colleagues and friends of Heinrich Begehr on the occasion of his 80th birthday. It aims at being a tribute to the excellent achievements of Heinrich Begehr in complex analysis and complex differential equations, and especially to his prominent role as one of the creators and long-time leader of the International Society for Analysis, its Applications and Computation (ISAAC).

Numerical Modeling of Coupled Phenomena in Science and Engineering

Numerical Modeling of Coupled Phenomena in Science and Engineering PDF Author: Mario César Suárez Arriaga
Publisher: CRC Press
ISBN: 0203886224
Category : Technology & Engineering
Languages : en
Pages : 496

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Book Description
Mathematics is a universal language. Differential equations, mathematical modeling, numerical methods and computation form the underlying infrastructure of engineering and the sciences. In this context mathematical modeling is a very powerful tool for studying engineering problems, natural systems and human society. This interdisciplinary book cont