Applied Pseudoanalytic Function Theory

Author : Vladislav V. Kravchenko
Publisher : Springer Science & Business Media
Page : 179 pages
File Size : 45,6 Mb
Release : 2009-07-21
Category : Mathematics
ISBN : 9783034600040

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Applied Pseudoanalytic Function Theory by Vladislav V. Kravchenko Pdf

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.

Author : Sio-Iong Ao,Len Gelman
Publisher : Springer Science & Business Media
Page : 695 pages
File Size : 43,9 Mb
Release : 2011-06-07
Category : Technology & Engineering
ISBN : 9789400711921

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Electrical Engineering and Applied Computing by Sio-Iong Ao,Len Gelman Pdf

A large international conference in Electrical Engineering and Applied Computing was just held in London, 30 June – 2 July, 2010. This volume will contain revised and extended research articles written by prominent researchers participating in the conference. Topics covered include Control Engineering, Network Management, Wireless Networks, Biotechnology, Signal Processing, Computational Intelligence, Data Mining, Computational Statistics, Internet Computing, High Performance Computing, and industrial applications. The book will offer the states of arts of tremendous advances in electrical engineering and applied computing and also serve as an excellent reference work for researchers and graduate students working on electrical engineering and applied computing

Author : Haeng Kon Kim,Mahyar A. Amouzegar,Sio-long Ao
Publisher : Springer
Page : 573 pages
File Size : 50,8 Mb
Release : 2015-07-07
Category : Technology & Engineering
ISBN : 9789401772365

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Transactions on Engineering Technologies by Haeng Kon Kim,Mahyar A. Amouzegar,Sio-long Ao Pdf

This volume contains thirty-nine revised and extended research articles, written by prominent researchers participating in the World Congress on Engineering and Computer Science 2014, held in San Francisco, October 22-24 2014. Topics covered include engineering mathematics, electrical engineering, circuit design, communications systems, computer science, chemical engineering, systems engineering and applications of engineering science in industry. This book describes some significant advances in engineering technologies and also serves as an excellent source of reference for researchers and graduate students.

Author : Klaus Gürlebeck,Klaus Habetha,Wolfgang Sprößig
Publisher : Springer
Page : 390 pages
File Size : 47,6 Mb
Release : 2016-06-20
Category : Mathematics
ISBN : 9783034809641

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Application of Holomorphic Functions in Two and Higher Dimensions by Klaus Gürlebeck,Klaus Habetha,Wolfgang Sprößig Pdf

This book presents applications of hypercomplex analysis to boundary value and initial-boundary value problems from various areas of mathematical physics. Given that quaternion and Clifford analysis offer natural and intelligent ways to enter into higher dimensions, it starts with quaternion and Clifford versions of complex function theory including series expansions with Appell polynomials, as well as Taylor and Laurent series. Several necessary function spaces are introduced, and an operator calculus based on modifications of the Dirac, Cauchy-Fueter, and Teodorescu operators and different decompositions of quaternion Hilbert spaces are proved. Finally, hypercomplex Fourier transforms are studied in detail. All this is then applied to first-order partial differential equations such as the Maxwell equations, the Carleman-Bers-Vekua system, the Schrödinger equation, and the Beltrami equation. The higher-order equations start with Riccati-type equations. Further topics include spatial fluid flow problems, image and multi-channel processing, image diffusion, linear scale invariant filtering, and others. One of the highlights is the derivation of the three-dimensional Kolosov-Mushkelishvili formulas in linear elasticity. Throughout the book the authors endeavor to present historical references and important personalities. The book is intended for a wide audience in the mathematical and engineering sciences and is accessible to readers with a basic grasp of real, complex, and functional analysis.

Author : Haeng Kon Kim,Sio-Iong Ao,Mahyar A. Amouzegar,Burghard B. Rieger
Publisher : Springer Science & Business Media
Page : 698 pages
File Size : 46,8 Mb
Release : 2013-09-12
Category : Technology & Engineering
ISBN : 9789400768185

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IAENG Transactions on Engineering Technologies by Haeng Kon Kim,Sio-Iong Ao,Mahyar A. Amouzegar,Burghard B. Rieger Pdf

IAENG Transactions on Engineering Technologies contains forty-nine revised and extended research articles, written by prominent researchers participating in the conference. Topics covered include circuits, engineering mathematics, control theory, communications systems, systems engineering, manufacture engineering, computational biology, chemical engineering, and industrial applications. This book offers the state of art of tremendous advances in engineering technologies and physical science and applications, and also serves as an excellent source of reference for researchers and graduate students working with/on engineering technologies and physical science and applications.

Author : Lipman Bers
Publisher : Unknown
Page : 396 pages
File Size : 46,8 Mb
Release : 1953
Category : Functional analysis
ISBN : UCBK:C037502671

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Theory of Pseudo-analytic Functions by Lipman Bers Pdf

Author : Sergiy A. Plaksa,Vitalii S. Shpakivskyi
Publisher : Springer Nature
Page : 548 pages
File Size : 50,7 Mb
Release : 2023-07-18
Category : Mathematics
ISBN : 9783031322549

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Monogenic Functions in Spaces with Commutative Multiplication and Applications by Sergiy A. Plaksa,Vitalii S. Shpakivskyi Pdf

This monograph develops a theory of continuous and differentiable functions, called monogenic functions, in the sense of Gateaux functions taking values in some vector spaces with commutative multiplication. The study of these monogenic functions in various commutative algebras leads to a discovery of new ways of solving boundary value problems in mathematical physics. The book consists of six parts: Part I presents some preliminary notions and introduces various concepts of differentiable mappings of vector spaces. Part II - V is devoted to the study of monogenic functions in various spaces with commutative multiplication, namely, three dimensional commutative algebras with two-dimensional radical, finite-dimensional commutative associative algebras, infinite-dimensional vector spaces associated with the three-dimensional Laplace equation and infinite-dimensional vector spaces associated with axial-symmetric potential fields. Part VI presents some boundary value problems for axial-symmetric potential fields and develops effective analytic methods of solving these boundary value problems with various applications in mathematical physics. Graduate students and researchers alike benefit from this book.

Author : Alexandre Almeida,Luís Castro,Frank-Olme Speck
Publisher : Springer Science & Business Media
Page : 389 pages
File Size : 50,5 Mb
Release : 2013-01-31
Category : Mathematics
ISBN : 9783034805162

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Advances in Harmonic Analysis and Operator Theory by Alexandre Almeida,Luís Castro,Frank-Olme Speck Pdf

This volume is dedicated to Professor Stefan Samko on the occasion of his seventieth birthday. The contributions display the range of his scientific interests in harmonic analysis and operator theory. Particular attention is paid to fractional integrals and derivatives, singular, hypersingular and potential operators in variable exponent spaces, pseudodifferential operators in various modern function and distribution spaces, as well as related applications, to mention but a few. Most contributions were firstly presented in two conferences at Lisbon and Aveiro, Portugal, in June‒July 2011.

Author : Cristina Flaut,Šárka Hošková-Mayerová,Daniel Flaut
Publisher : Springer
Page : 576 pages
File Size : 41,8 Mb
Release : 2018-10-12
Category : Technology & Engineering
ISBN : 9783030000844

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Models and Theories in Social Systems by Cristina Flaut,Šárka Hošková-Mayerová,Daniel Flaut Pdf

This book concisely presents a broad range of models and theories on social systems. Because of the huge spectrum of topics involving social systems, various issues related to Mathematics, Statistics, Teaching, Social Science, and Economics are discussed. In an effort to introduce the subject to a wider audience, this volume, part of the series “Studies in Systems, Decision and Control”, equally addresses the needs of mathematicians, statisticians, sociologists and philosophers. The studies examined here are divided into four parts. The first part, “Perusing the Minds Behind Scientific Discoveries”, traces the winding path of Syamal K. Sen and Ravi P. Agarwal’s scholarship throughout history, and most importantly, the thought processes that allowed each of them to master their subject. The second part covers “Theories in Social Systems” and the third discusses “Models in Social Systems”, while the fourth and final part is dedicated to “Mathematical Methods in the Social Sciences”. Given its breadth of coverage, the book will offer inquisitive readers a valuable point of departure for exploring these rich, vast, and ever-expanding fields of knowledge.

Author : Yuri I. Karlovich,Luigi Rodino,Bernd Silbermann,Ilya M. Spitkovsky
Publisher : Springer Science & Business Media
Page : 410 pages
File Size : 49,8 Mb
Release : 2012-10-30
Category : Mathematics
ISBN : 9783034805377

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Operator Theory, Pseudo-Differential Equations, and Mathematical Physics by Yuri I. Karlovich,Luigi Rodino,Bernd Silbermann,Ilya M. Spitkovsky Pdf

This volume is a collection of papers devoted to the 70th birthday of Professor Vladimir Rabinovich. The opening article (by Stefan Samko) includes a short biography of Vladimir Rabinovich, along with some personal recollections and bibliography of his work. It is followed by twenty research and survey papers in various branches of analysis (pseudodifferential operators and partial differential equations, Toeplitz, Hankel, and convolution type operators, variable Lebesgue spaces, etc.) close to Professor Rabinovich's research interests. Many of them are written by participants of the International workshop “Analysis, Operator Theory, and Mathematical Physics” (Ixtapa, Mexico, January 23–27, 2012) having a long history of scientific collaboration with Vladimir Rabinovich, and are partially based on the talks presented there.The volume will be of great interest to researchers and graduate students in differential equations, operator theory, functional and harmonic analysis, and mathematical physics.​

Author : Joseph A. Ball,Raúl E. Curto,Sergei M. Grudsky,J. William Helton,Raúl Quiroga-Barranco,Nikolai Vasilevski
Publisher : Springer Science & Business Media
Page : 346 pages
File Size : 47,6 Mb
Release : 2012-02-24
Category : Mathematics
ISBN : 9783034803465

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Recent Progress in Operator Theory and Its Applications by Joseph A. Ball,Raúl E. Curto,Sergei M. Grudsky,J. William Helton,Raúl Quiroga-Barranco,Nikolai Vasilevski Pdf

This volume contains twenty-one solicited articles by speakers at the IWOTA 2009 workshop, ranging from expository surveys to original research papers, each carefully refereed. The contributions reflect recent developments in operator theory and its applications. Consistent with the topics of recent IWOTA meetings, IWOTA 2009 was designed as a comprehensive, inclusive conference covering all aspects of theoretical and applied operator theory, ranging from classical analysis, differential and integral equations, complex and harmonic analysis to mathematical physics, mathematical systems and control theory, signal processing and numerical analysis. The conference brought together international experts for a week-long stay at Hotel Real de Minas, in an atmosphere conducive to fruitful professional interactions. These Proceedings reflect the high quality of the papers presented at the conference.

Author : Vladislav V. Kravchenko,Sergei M. Sitnik
Publisher : Springer Nature
Page : 685 pages
File Size : 47,8 Mb
Release : 2020-04-11
Category : Mathematics
ISBN : 9783030359140

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Transmutation Operators and Applications by Vladislav V. Kravchenko,Sergei M. Sitnik Pdf

Transmutation operators in differential equations and spectral theory can be used to reveal the relations between different problems, and often make it possible to transform difficult problems into easier ones. Accordingly, they represent an important mathematical tool in the theory of inverse and scattering problems, of ordinary and partial differential equations, integral transforms and equations, special functions, harmonic analysis, potential theory, and generalized analytic functions. This volume explores recent advances in the construction and applications of transmutation operators, while also sharing some interesting historical notes on the subject.

Author : Michael Ruzhansky,Jens Wirth
Publisher : World Scientific
Page : 668 pages
File Size : 49,7 Mb
Release : 2010
Category : Mathematics
ISBN : 9789814313162

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Progress in Analysis and Its Applications by Michael Ruzhansky,Jens Wirth Pdf

The International Society for Analysis, its Applications and Computation (ISAAC) has held its international congresses biennially since 1997. This proceedings volume reports on the progress in analysis, applications and computation in recent years as covered and discussed at the 7th ISAAC Congress. This volume includes papers on partial differential equations, function spaces, operator theory, integral transforms and equations, potential theory, complex analysis and generalizations, stochastic analysis, inverse problems, homogenization, continuum mechanics, mathematical biology and medicine. With over 500 participants from almost 60 countries attending the congress, the book comprises a broad selection of contributions in different topics.

Author : Einar Hille
Publisher : American Mathematical Soc.
Page : 320 pages
File Size : 52,9 Mb
Release : 1973
Category : Mathematics
ISBN : 0828402698

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Analytic Function Theory by Einar Hille Pdf

Emphasizes the conceptual and historical continuity of analytic function theory. This book covers canonical topics including elliptic functions, entire and meromorphic functions, as well as conformal mapping. It also features chapters on majorization and on functions holomorphic in a half-plane.

Author : Edoardo Confalonieri
Publisher : Edoardo Confalonieri
Page : 2233 pages
File Size : 47,8 Mb
Release : 2019-01-21
Category : Electronic
ISBN : 8210379456XXX

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AN ESSAY ON THE MATHEMATICAL METHODS OF THEORY OF GENERAL RELATIVITY by Edoardo Confalonieri Pdf

The basic concepts of a method for a general integral of the Field Equations of the Theory of General Relativity are outlined. An extended and revised version is currently in preparation, and it will be uploaded as soon as ready for publication.