Advances In Hypercomplex Analysis

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Advances in Hypercomplex Analysis

Author : Graziano Gentili
Publisher : Springer Science & Business Media
ISBN 13 : 8847024455
Total Pages : 149 pages
Book Rating : 4.8/5 (47 download)

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Book Synopsis Advances in Hypercomplex Analysis by : Graziano Gentili

Download or read book Advances in Hypercomplex Analysis written by Graziano Gentili and published by Springer Science & Business Media. This book was released on 2012-11-14 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is intended to collect important research results to the lectures and discussions which took Place in Rome, at the INdAM Workshop on Different Notions of Regularity for Functions of Quaternionic Variables in September 2010. This volume will collect recent and new results, which are connected to the topic covered during the workshop. The work aims at bringing together international leading specialists in the field of Quaternionic and Clifford Analysis, as well as young researchers interested in the subject, with the idea of presenting and discussing recent results, analyzing new trends and techniques in the area and, in general, of promoting scientific collaboration. Particular attention is paid to the presentation of different notions of regularity for functions of hypercomplex variables, and to the study of the main features of the theories that they originate.

Hypercomplex Analysis: New Perspectives and Applications

Author : Swanhild Bernstein
Publisher : Springer
ISBN 13 : 3319087711
Total Pages : 228 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Hypercomplex Analysis: New Perspectives and Applications by : Swanhild Bernstein

Download or read book Hypercomplex Analysis: New Perspectives and Applications written by Swanhild Bernstein and published by Springer. This book was released on 2014-10-10 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hypercomplex analysis is the extension of complex analysis to higher dimensions where the concept of a holomorphic function is substituted by the concept of a monogenic function. In recent decades this theory has come to the forefront of higher dimensional analysis. There are several approaches to this: quaternionic analysis which merely uses quaternions, Clifford analysis which relies on Clifford algebras, and generalizations of complex variables to higher dimensions such as split-complex variables. This book includes a selection of papers presented at the session on quaternionic and hypercomplex analysis at the ISAAC conference 2013 in Krakow, Poland. The topics covered represent new perspectives and current trends in hypercomplex analysis and applications to mathematical physics, image analysis and processing, and mechanics.

Modern Trends in Hypercomplex Analysis

Author : Swanhild Bernstein
Publisher : Birkhäuser
ISBN 13 : 3319425293
Total Pages : 310 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Modern Trends in Hypercomplex Analysis by : Swanhild Bernstein

Download or read book Modern Trends in Hypercomplex Analysis written by Swanhild Bernstein and published by Birkhäuser. This book was released on 2016-11-21 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a selection of papers presented at the session "Quaternionic and Clifford Analysis" at the 10th ISAAC Congress held in Macau in August 2015. The covered topics represent the state-of-the-art as well as new trends in hypercomplex analysis and its applications.

Hypercomplex Analysis and Applications

Author : Irene Sabadini
Publisher : Springer Science & Business Media
ISBN 13 : 3034602464
Total Pages : 280 pages
Book Rating : 4.0/5 (346 download)

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Book Synopsis Hypercomplex Analysis and Applications by : Irene Sabadini

Download or read book Hypercomplex Analysis and Applications written by Irene Sabadini and published by Springer Science & Business Media. This book was released on 2010-12-20 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of the volume is to bring forward recent trends of research in hypercomplex analysis. The list of contributors includes first rate mathematicians and young researchers working on several different aspects in quaternionic and Clifford analysis. Besides original research papers, there are papers providing the state-of-the-art of a specific topic, sometimes containing interdisciplinary fields. The intended audience includes researchers, PhD students, postgraduate students who are interested in the field and in possible connection between hypercomplex analysis and other disciplines, including mathematical analysis, mathematical physics, algebra.

Hypercomplex Analysis

Author : Irene Sabadini
Publisher : Springer Science & Business Media
ISBN 13 : 3764398930
Total Pages : 289 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Hypercomplex Analysis by : Irene Sabadini

Download or read book Hypercomplex Analysis written by Irene Sabadini and published by Springer Science & Business Media. This book was released on 2009-04-21 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains selected papers from the ISAAC conference 2007 and invited contributions. This book covers various topics that represent the main streams of research in hypercomplex analysis as well as the expository articles. It is suitable for researchers and postgraduate students in various areas of mathematical analysis.

Advancements in Complex Analysis

Author : Daniel Breaz
Publisher : Springer Nature
ISBN 13 : 3030401200
Total Pages : 538 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Advancements in Complex Analysis by : Daniel Breaz

Download or read book Advancements in Complex Analysis written by Daniel Breaz and published by Springer Nature. This book was released on 2020-05-12 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributions to this volume are devoted to a discussion of state-of-the-art research and treatment of problems of a wide spectrum of areas in complex analysis ranging from pure to applied and interdisciplinary mathematical research. Topics covered include: holomorphic approximation, hypercomplex analysis, special functions of complex variables, automorphic groups, zeros of the Riemann zeta function, Gaussian multiplicative chaos, non-constant frequency decompositions, minimal kernels, one-component inner functions, power moment problems, complex dynamics, biholomorphic cryptosystems, fermionic and bosonic operators. The book will appeal to graduate students and research mathematicians as well as to physicists, engineers, and scientists, whose work is related to the topics covered.

Advances in Analysis and Geometry

Author : Tao Qian
Publisher : Birkhäuser
ISBN 13 : 3034878389
Total Pages : 380 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Advances in Analysis and Geometry by : Tao Qian

Download or read book Advances in Analysis and Geometry written by Tao Qian and published by Birkhäuser. This book was released on 2012-12-06 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the heart of Clifford analysis is the study of systems of special partial differential operators that arise naturally from the use of Clifford algebra as a calculus tool. This book focuses on the study of Dirac operators and related ones, together with applications in mathematics, physics and engineering. This book collects refereed papers from a satellite conference to the ICM 2002, plus invited contributions. All articles contain unpublished new results.

Michele Sce's Works in Hypercomplex Analysis

Author : Fabrizio Colombo
Publisher : Springer Nature
ISBN 13 : 3030502163
Total Pages : 126 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Michele Sce's Works in Hypercomplex Analysis by : Fabrizio Colombo

Download or read book Michele Sce's Works in Hypercomplex Analysis written by Fabrizio Colombo and published by Springer Nature. This book was released on 2020-10-24 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents English translations of Michele Sce’s most important works, originally written in Italian during the period 1955-1973, on hypercomplex analysis and algebras of hypercomplex numbers. Despite their importance, these works are not very well known in the mathematics community because of the language they were published in. Possibly the most remarkable instance is the so-called Fueter-Sce mapping theorem, which is a cornerstone of modern hypercomplex analysis, and is not yet understood in its full generality. This volume is dedicated to revealing and describing the framework Sce worked in, at an exciting time when the various generalizations of complex analysis in one variable were still in their infancy. In addition to faithfully translating Sce’s papers, the authors discuss their significance and explain their connections to contemporary research in hypercomplex analysis. They also discuss many concrete examples that can serve as a basis for further research. The vast majority of the results presented here will be new to readers, allowing them to finally access the original sources with the benefit of comments from fellow mathematicians active in the field of hypercomplex analysis. As such, the book offers not only an important chapter in the history of hypercomplex analysis, but also a roadmap for further exciting research in the field.

Linear Systems, Signal Processing and Hypercomplex Analysis

Author : Daniel Alpay
Publisher :
ISBN 13 : 9783030184858
Total Pages : 316 pages
Book Rating : 4.1/5 (848 download)

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Book Synopsis Linear Systems, Signal Processing and Hypercomplex Analysis by : Daniel Alpay

Download or read book Linear Systems, Signal Processing and Hypercomplex Analysis written by Daniel Alpay and published by . This book was released on 2019 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume includes contributions originating from a conference held at Chapman University during November 14-19, 2017. It presents original research by experts in signal processing, linear systems, operator theory, complex and hypercomplex analysis and related topics.

Wavelets, Multiscale Systems and Hypercomplex Analysis

Author : Daniel Alpay
Publisher : Springer Science & Business Media
ISBN 13 : 3764375884
Total Pages : 197 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Wavelets, Multiscale Systems and Hypercomplex Analysis by : Daniel Alpay

Download or read book Wavelets, Multiscale Systems and Hypercomplex Analysis written by Daniel Alpay and published by Springer Science & Business Media. This book was released on 2006-08-06 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a selection of papers on the topics of Clifford analysis and wavelets and multiscale analysis, the latter being understood in a very wide sense. The theory of wavelets is mathematically rich and has many practical applications. Most of the articles have been written on invitation and they provide a unique collection of material, particularly relating to Clifford analysis and the theory of wavelets.

Advances in Complex Analysis and Applications

Author : Francisco Bulnes
Publisher : BoD – Books on Demand
ISBN 13 : 1839683600
Total Pages : 172 pages
Book Rating : 4.8/5 (396 download)

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Book Synopsis Advances in Complex Analysis and Applications by : Francisco Bulnes

Download or read book Advances in Complex Analysis and Applications written by Francisco Bulnes and published by BoD – Books on Demand. This book was released on 2020-11-04 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: The complex analysis, also known as theory of analytic functions or complex variable function theory, is the part of mathematical analysis that investigates the functions of complex numbers, their analyticity, holomorphicity, and integration of these functions on complex domains that can be complex manifolds or submanifolds. Also the extensions of these domains to the complex projective spaces and complex topological groups are study themes. The analytic continuing of complex domains where complex series representations are used and the exploring of singularities whose integration invariants obtain values as zeros of certain polynomials of the complex rings of certain vector bundles are important in the exploring of new function classes in the meromorphic context and also arithmetic context. Also important are established correspondences with complex vector spaces, or even in their real parts, using several techniques of complex geometrical analysis, Nevanlinna methods, and other techniques as the modular forms. All this is just some examples of great abundance of the problems in mathematics research that require the complex analysis application. This book covers some interesting and original research of certain topics of complex analysis. Also included are some applications for inverse and ill posed problems developed in engineering and applied research.

Advances in Applied Analysis

Author : Sergei V. Rogosin
Publisher : Springer Science & Business Media
ISBN 13 : 3034804172
Total Pages : 260 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Advances in Applied Analysis by : Sergei V. Rogosin

Download or read book Advances in Applied Analysis written by Sergei V. Rogosin and published by Springer Science & Business Media. This book was released on 2012-08-21 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains survey papers based on the lectures presented at the 3rd International Winter School “Modern Problems of Mathematics and Mechanics” held in January 2010 at the Belarusian State University, Minsk. These lectures are devoted to different problems of modern analysis and its applications. An extended presentation of modern problems of applied analysis will enable the reader to get familiar with new approaches of mostly interdisciplinary character. The results discussed are application oriented and present new insight into applied problems of growing importance such as applications to composite materials, anomalous diffusion, and fluid dynamics.

Advances in Image and Video Technology

Author : Yo-Sung Ho
Publisher : Springer
ISBN 13 : 3642253466
Total Pages : 422 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Advances in Image and Video Technology by : Yo-Sung Ho

Download or read book Advances in Image and Video Technology written by Yo-Sung Ho and published by Springer. This book was released on 2011-11-21 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two-volume proceedings LNCS 7087 + 7088 constitute the proceedings of the 5th Pacific Rim Symposium, PSIVT 2011, held in Gwangju, Korea, in November 2011. The total of 71 revised papers was carefully reviewed and selected from 168 submissions. The topics covered are: image/video coding and transmission; image/video processing and analysis; imaging and graphics hardware and visualization; image/video retrieval and scene understanding; biomedical image processing and analysis; biometrics and image forensics; and computer vision applications.

Operator Theory for Complex and Hypercomplex Analysis

Author : Enrique Ramírez de Arellano
Publisher : American Mathematical Soc.
ISBN 13 : 0821806777
Total Pages : 312 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Operator Theory for Complex and Hypercomplex Analysis by : Enrique Ramírez de Arellano

Download or read book Operator Theory for Complex and Hypercomplex Analysis written by Enrique Ramírez de Arellano and published by American Mathematical Soc.. This book was released on 1998 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a collection of papers on certain aspects of general operator theory related to classes of important operators: singular integral, Toeplitz and Bergman opertors, convolution operators on Lie groups, pseudodifferential operators, etc. The study of these operators arises from integral representations for different classes of functions, enriches pure opertor theory, and is influential and beneficial for important areas of analysis. Particular attention is paid to the fruitful interplay of recent developments of complex and hypercomplex analysis on one side and to operator theory on the other. The majority of papers illustrate this interplay as well as related applications. The papers represent the proceedings of the conference "Operator Theory and Complex and Hypercomplex Analysis", held in Decenber 1994 in Mexico City.

Geometric Multivector Analysis

Author : Andreas Rosén
Publisher : Springer Nature
ISBN 13 : 3030314111
Total Pages : 465 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Geometric Multivector Analysis by : Andreas Rosén

Download or read book Geometric Multivector Analysis written by Andreas Rosén and published by Springer Nature. This book was released on 2019-11-09 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a step-by-step guide to the basic theory of multivectors and spinors, with a focus on conveying to the reader the geometric understanding of these abstract objects. Following in the footsteps of M. Riesz and L. Ahlfors, the book also explains how Clifford algebra offers the ideal tool for studying spacetime isometries and Möbius maps in arbitrary dimensions. The book carefully develops the basic calculus of multivector fields and differential forms, and highlights novelties in the treatment of, e.g., pullbacks and Stokes’s theorem as compared to standard literature. It touches on recent research areas in analysis and explains how the function spaces of multivector fields are split into complementary subspaces by the natural first-order differential operators, e.g., Hodge splittings and Hardy splittings. Much of the analysis is done on bounded domains in Euclidean space, with a focus on analysis at the boundary. The book also includes a derivation of new Dirac integral equations for solving Maxwell scattering problems, which hold promise for future numerical applications. The last section presents down-to-earth proofs of index theorems for Dirac operators on compact manifolds, one of the most celebrated achievements of 20th-century mathematics. The book is primarily intended for graduate and PhD students of mathematics. It is also recommended for more advanced undergraduate students, as well as researchers in mathematics interested in an introduction to geometric analysis.

Advances in Discrete and Computational Geometry

Author : Bernard Chazelle
Publisher : American Mathematical Soc.
ISBN 13 : 0821806742
Total Pages : 480 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Advances in Discrete and Computational Geometry by : Bernard Chazelle

Download or read book Advances in Discrete and Computational Geometry written by Bernard Chazelle and published by American Mathematical Soc.. This book was released on 1999 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of refereed expository and research articles in discrete and computational geometry written by leaders in the field. Articles are based on invited talks presented at the AMS-IMS-SIAM Summer Research Conference, "Discrete and Computational Geometry: Ten Years Later", held in 1996 at Mt. Holyoke College (So.Hadley, MA). Topics addressed range from tilings, polyhedra, and arrangements to computational topology and visibility problems. Included are papers on the interaction between real algebraic geometry and discrete and computational geometry, as well as on linear programming and geometric discrepancy theory.

Advances in Real and Complex Analysis with Applications

Author : Michael Ruzhansky
Publisher : Birkhäuser
ISBN 13 : 981104337X
Total Pages : 304 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Advances in Real and Complex Analysis with Applications by : Michael Ruzhansky

Download or read book Advances in Real and Complex Analysis with Applications written by Michael Ruzhansky and published by Birkhäuser. This book was released on 2017-10-03 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses a variety of topics in mathematics and engineering as well as their applications, clearly explaining the mathematical concepts in the simplest possible way and illustrating them with a number of solved examples. The topics include real and complex analysis, special functions and analytic number theory, q-series, Ramanujan’s mathematics, fractional calculus, Clifford and harmonic analysis, graph theory, complex analysis, complex dynamical systems, complex function spaces and operator theory, geometric analysis of complex manifolds, geometric function theory, Riemannian surfaces, Teichmüller spaces and Kleinian groups, engineering applications of complex analytic methods, nonlinear analysis, inequality theory, potential theory, partial differential equations, numerical analysis , fixed-point theory, variational inequality, equilibrium problems, optimization problems, stability of functional equations, and mathematical physics. It includes papers presented at the 24th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications (24ICFIDCAA), held at the Anand International College of Engineering, Jaipur, 22–26 August 2016. The book is a valuable resource for researchers in real and complex analysis.