Finite Or Infinite Dimensional Complex Analysis And Applications

Author : Le Hung Son,Wolfgang Tutschke,Chung-Chun Yang
Publisher : Springer Science & Business Media
Page : 379 pages
File Size : 46,7 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781461302216

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Finite or Infinite Dimensional Complex Analysis and Applications by Le Hung Son,Wolfgang Tutschke,Chung-Chun Yang Pdf

There is almost no field in Mathematics which does not use Mathe matical Analysis. Computer methods in Applied Mathematics, too, are often based on statements and procedures of Mathematical Analysis. An important part of Mathematical Analysis is Complex Analysis because it has many applications in various branches of Mathematics. Since the field of Complex Analysis and its applications is a focal point in the Vietnamese research programme, the Hanoi University of Technology organized an International Conference on Finite or Infinite Dimensional Complex Analysis and Applications which took place in Hanoi from August 8 - 12, 2001. This conference th was the 9 one in a series of conferences which take place alternately in China, Japan, Korea and Vietnam each year. The first one took place th at Pusan University in Korea in 1993. The preceding 8 conference was th held in Shandong in China in August 2000. The 9 conference of the was the first one which took place above mentioned series of conferences in Vietnam. Present trends in Complex Analysis reflected in the present volume are mainly concentrated in the following four research directions: 1 Value distribution theory (including meromorphic funtions, mero morphic mappings, as well as p-adic functions over fields of finite or zero characteristic) and its applications, 2 Holomorphic functions in several (finitely or infinitely many) com plex variables, 3 Clifford Analysis, i.e., complex methods in higher-dimensional real Euclidian spaces, 4 Generalized analytic functions.

Author : Hasi Wulan,Yuefei Wang,Shengjian Wu,Lo Yang
Publisher : World Scientific
Page : 349 pages
File Size : 54,8 Mb
Release : 2006-07-18
Category : Mathematics
ISBN : 9789814477543

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Complex Analysis And Applications - Proceedings Of The 13th International Conference On Finite Or Infinite Dimensional Complex Analysis And Applications by Hasi Wulan,Yuefei Wang,Shengjian Wu,Lo Yang Pdf

This valuable collection of articles presents the latest methods and results in complex analysis and its applications. The present trends in complex analysis reflected in the book are concentrated in the following research directions: Clifford analysis, complex dynamical systems, complex function spaces, complex numerical analysis, qusiconformal mapping, Riemann surfaces, Teichmüller theory and Klainian groups, several complex variables, and value distribution theory.

Author : 風間英明,森本光生,揚重駿
Publisher : Unknown
Page : 419 pages
File Size : 53,5 Mb
Release : 2005-12
Category : Analytic functions
ISBN : 4873788994

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Proceedings of the 12th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications by 風間英明,森本光生,揚重駿 Pdf

解析学全般の先端的研究を収めた国際会議録

Author : Yuefei Wang
Publisher : World Scientific
Page : 349 pages
File Size : 54,7 Mb
Release : 2006
Category : Mathematics
ISBN : 9789812568687

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Complex Analysis and Applications by Yuefei Wang Pdf

This valuable collection of articles presents the latest methods and results in complex analysis and its applications. The present trends in complex analysis reflected in the book are concentrated in the following research directions: Clifford analysis, complex dynamical systems, complex function spaces, complex numerical analysis, qusiconformal mapping, Riemann surfaces, Teichmller theory and Klainian groups, several complex variables, and value distribution theory.

Author : Joji Kajiwara,Zhong Li,Kwang Ho Shon
Publisher : CRC Press
Page : 674 pages
File Size : 41,8 Mb
Release : 2019-05-07
Category : Mathematics
ISBN : 9780429530005

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Finite or Infinite Dimensional Complex Analysis by Joji Kajiwara,Zhong Li,Kwang Ho Shon Pdf

This volume presents the proceedings of the Seventh International Colloquium on Finite or Infinite Dimensional Complex Analysis held in Fukuoka, Japan. The contributions offer multiple perspectives and numerous research examples on complex variables, Clifford algebra variables, hyperfunctions and numerical analysis.

Author : Joji Kajiwara,Zhong Li,Kwang Ho Shon
Publisher : CRC Press
Page : 656 pages
File Size : 53,8 Mb
Release : 2019-05-07
Category : Mathematics
ISBN : 9781482270594

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Finite or Infinite Dimensional Complex Analysis by Joji Kajiwara,Zhong Li,Kwang Ho Shon Pdf

This volume presents the proceedings of the Seventh International Colloquium on Finite or Infinite Dimensional Complex Analysis held in Fukuoka, Japan. The contributions offer multiple perspectives and numerous research examples on complex variables, Clifford algebra variables, hyperfunctions and numerical analysis.

Author : Michael Ruzhansky,Yeol Je Cho,Praveen Agarwal,Iván Area
Publisher : Birkhäuser
Page : 301 pages
File Size : 41,7 Mb
Release : 2017-10-03
Category : Mathematics
ISBN : 9789811043376

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Advances in Real and Complex Analysis with Applications by Michael Ruzhansky,Yeol Je Cho,Praveen Agarwal,Iván Area Pdf

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.

Author : Anonim
Publisher : Unknown
Page : 374 pages
File Size : 52,9 Mb
Release : 2007
Category : Functions of complex variables
ISBN : 4901409379

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Complex Analysis and Its Applications by Anonim Pdf

Author : Palle Jorgensen,James Tian
Publisher : World Scientific
Page : 253 pages
File Size : 47,6 Mb
Release : 2021-01-15
Category : Mathematics
ISBN : 9789811225796

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Infinite-dimensional Analysis: Operators In Hilbert Space; Stochastic Calculus Via Representations, And Duality Theory by Palle Jorgensen,James Tian Pdf

The purpose of this book is to make available to beginning graduate students, and to others, some core areas of analysis which serve as prerequisites for new developments in pure and applied areas. We begin with a presentation (Chapters 1 and 2) of a selection of topics from the theory of operators in Hilbert space, algebras of operators, and their corresponding spectral theory. This is a systematic presentation of interrelated topics from infinite-dimensional and non-commutative analysis; again, with view to applications. Chapter 3 covers a study of representations of the canonical commutation relations (CCRs); with emphasis on the requirements of infinite-dimensional calculus of variations, often referred to as Ito and Malliavin calculus, Chapters 4-6. This further connects to key areas in quantum physics.

Author : Lo Yang,Hong-Xun Yi
Publisher : Unknown
Page : 298 pages
File Size : 42,9 Mb
Release : 2001
Category : Complex analysis
ISBN : 7533129962

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Finite Or Infinite Dimensional Complex Analysis by Lo Yang,Hong-Xun Yi Pdf

Author : Yuefei Wang
Publisher : World Scientific
Page : 349 pages
File Size : 51,7 Mb
Release : 2006
Category : Mathematics
ISBN : 9789812773159

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Complex Analysis and Applications by Yuefei Wang Pdf

This valuable collection of articles presents the latest methods and results in complex analysis and its applications. The present trends in complex analysis reflected in the book are concentrated in the following research directions: Clifford analysis, complex dynamical systems, complex function spaces, complex numerical analysis, qusiconformal mapping, Riemann surfaces, Teichmller theory and Klainian groups, several complex variables, and value distribution theory. Sample Chapter(s). Chapter 1: Complex Boundary Value Problems in a Quarter Plane (490 KB). Contents: Complex Boundary Value Problems in a Quarter Plane (H Begehr & G Harutyunyan); A Change of Scale Formula for Wiener Integrals of Unbounded Functions over Wiener Paths in Abstract Wiener Space (K S Chang et al.); Q p -Spaces: Generalizations to Bounded Symmetric Domains (M Englii); Order of Growth of Painlev(r) Transcendents (A Hinkkanen & I Laine); A Remark on Holomorphic Sections of Certain Holomorphic Families of Riemann Surfaces (Y Imayoshi & T Nogi); -Asymptotically Conformal Fixed Points and Holomorphic Motions (Y Jiang); Uniqueness Theory of Meromorphic Functions in an Angular Domain (W Lin & S Mori); On Nevanlinna Type Classes (N Sukantamala & Z Wu); On Non-Existence of Teichmller Extremal (G Yao); The MAbius Invariance of Besov Spaces on the Unit Ball of X n (K Zhu); and other papers. Readership: Researchers and graduates in complex analysis."

Author : Hui-Hsiung Kuo,Ambar N. Sengupta,Padmanabhan Sundar
Publisher : World Scientific
Page : 257 pages
File Size : 43,5 Mb
Release : 2008
Category : Mathematics
ISBN : 9789812779557

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Infinite Dimensional Stochastic Analysis by Hui-Hsiung Kuo,Ambar N. Sengupta,Padmanabhan Sundar Pdf

This volume contains current work at the frontiers of research in infinite dimensional stochastic analysis. It presents a carefully chosen collection of articles by experts to highlight the latest developments in white noise theory, infinite dimensional transforms, quantum probability, stochastic partial differential equations, and applications to mathematical finance. Included in this volume are expository papers which will help increase communication between researchers working in these areas. The tools and techniques presented here will be of great value to research mathematicians, graduate students and applied mathematicians. Sample Chapter(s). Complex White Noise and the Infinite Dimensional Unitary Group (425 KB). Contents: Complex White Noise and the Infinite Dimensional Unitary Group (T Hida); Complex It Formulas (M Redfern); White Noise Analysis: Background and a Recent Application (J Becnel & A N Sengupta); Probability Measures with Sub-Additive Principal SzegAOCoJacobi Parameters (A Stan); Donsker''s Functional Calculus and Related Questions (P-L Chow & J Potthoff); Stochastic Analysis of Tidal Dynamics Equation (U Manna et al.); Adapted Solutions to the Backward Stochastic NavierOCoStokes Equations in 3D (P Sundar & H Yin); Spaces of Test and Generalized Functions of Arcsine White Noise Formulas (A Barhoumi et al.); An Infinite Dimensional Fourier-Mehler Transform and the L(r)vy Laplacian (K Saito & K Sakabe); The Heat Operator in Infinite Dimensions (B C Hall); Quantum Stochastic Dilation of Symmetric Covariant Completely Positive Semigroups with Unbounded Generator (D Goswami & K B Sinha); White Noise Analysis in the Theory of Three-Manifold Quantum Invariants (A Hahn); A New Explicit Formula for the Solution of the BlackOCoMertonOCoScholes Equation (J A Goldstein et al.); Volatility Models of the Yield Curve (V Goodman). Readership: Graduate-level researchers in stochastic analysis, mathematical physics and financial mathematic

Author : Sean Dineen
Publisher : Springer Science & Business Media
Page : 553 pages
File Size : 51,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781447108696

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Complex Analysis on Infinite Dimensional Spaces by Sean Dineen Pdf

Infinite dimensional holomorphy is the study of holomorphic or analytic func tions over complex topological vector spaces. The terms in this description are easily stated and explained and allow the subject to project itself ini tially, and innocently, as a compact theory with well defined boundaries. However, a comprehensive study would include delving into, and interacting with, not only the obvious topics of topology, several complex variables theory and functional analysis but also, differential geometry, Jordan algebras, Lie groups, operator theory, logic, differential equations and fixed point theory. This diversity leads to a dynamic synthesis of ideas and to an appreciation of a remarkable feature of mathematics - its unity. Unity requires synthesis while synthesis leads to unity. It is necessary to stand back every so often, to take an overall look at one's subject and ask "How has it developed over the last ten, twenty, fifty years? Where is it going? What am I doing?" I was asking these questions during the spring of 1993 as I prepared a short course to be given at Universidade Federal do Rio de Janeiro during the following July. The abundance of suit able material made the selection of topics difficult. For some time I hesitated between two very different aspects of infinite dimensional holomorphy, the geometric-algebraic theory associated with bounded symmetric domains and Jordan triple systems and the topological theory which forms the subject of the present book.

Author : Jorge Mujica
Publisher : Courier Corporation
Page : 466 pages
File Size : 54,7 Mb
Release : 2010-03-18
Category : Mathematics
ISBN : 9780486474663

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Complex Analysis in Banach Spaces by Jorge Mujica Pdf

The development of complex analysis is based on issues related to holomorphic continuation and holomorphic approximation. This volume presents a unified view of these topics in finite and infinite dimensions. A high-level tutorial in pure and applied mathematics, its prerequisites include a familiarity with the basic properties of holomorphic functions, the principles of Banach and Hilbert spaces, and the theory of Lebesgue integration. The four-part treatment begins with an overview of the basic properties of holomorphic mappings and holomorphic domains in Banach spaces. The second section explores differentiable mappings, differentiable forms, and polynomially convex compact sets, in which the results are applied to the study of Banach and Fréchet algebras. Subsequent sections examine plurisubharmonic functions and pseudoconvex domains in Banach spaces, along with Riemann domains and envelopes of holomorphy. In addition to its value as a text for advanced graduate students of mathematics, this volume also functions as a reference for researchers and professionals.

Author : Hui-Hsiung Kuo,Ambar Sengupta
Publisher : American Mathematical Soc.
Page : 242 pages
File Size : 50,5 Mb
Release : 2003
Category : Mathematics
ISBN : 9780821832028

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Finite and Infinite Dimensional Analysis in Honor of Leonard Gross by Hui-Hsiung Kuo,Ambar Sengupta Pdf

This book contains the proceedings of the special session in honor of Leonard Gross held at the annual Joint Mathematics Meetings in New Orleans (LA). The speakers were specialists in a variety of fields, and many were Professor Gross's former Ph.D. students and their descendants. Papers in this volume present results from several areas of mathematics. They illustrate applications of powerful ideas that originated in Gross's work and permeate diverse fields. Topics include stochastic partial differential equations, white noise analysis, Brownian motion, Segal-Bargmann analysis, heat kernels, and some applications. The volume should be useful to graduate students and researchers. It provides perspective on current activity and on central ideas and techniques in the topics covered.