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Author :
Publisher : Elsevier
ISBN 13 : 9780080871233
Total Pages : 442 pages
Book Rating : 4.8/5 (712 download)
Download or read book Infinite Dimensional Holomorphy and Applications written by and published by Elsevier. This book was released on 1977-01-01 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Infinite Dimensional Holomorphy and Applications
Author : J.A. Barroso
Publisher : Elsevier
ISBN 13 : 9780080872179
Total Pages : 300 pages
Book Rating : 4.8/5 (721 download)
Download or read book Introduction to Holomorphy written by J.A. Barroso and published by Elsevier. This book was released on 2000-04-01 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a set of basic properties of holomorphic mappings between complex normed spaces and between complex locally convex spaces. These properties have already achieved an almost definitive form and should be known to all those interested in the study of infinite dimensional Holomorphy and its applications. The author also makes ``incursions'' into the study of the topological properties of the spaces of holomorphic mappings between spaces of infinite dimension. An attempt is then made to show some of the several topologies that can naturally be considered in these spaces. Infinite dimensional Holomorphy appears as a theory rich in fascinating problems and rich in applications to other branches of Mathematics and Mathematical Physics.
Author : J. Arazy
Publisher :
ISBN 13 :
Total Pages : 29 pages
Book Rating : 4.:/5 (897 download)
Download or read book An Application of Infinite Dimensional Holomorphy to the Geometry of Banach Spaces written by J. Arazy and published by . This book was released on 1987 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : T.L. Hayden
Publisher : Springer
ISBN 13 : 3540379150
Total Pages : 223 pages
Book Rating : 4.5/5 (43 download)
Download or read book Proceedings on Infinite Dimensional Holomorphy written by T.L. Hayden and published by Springer. This book was released on 2006-11-15 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Le Hung Son
Publisher : Springer Science & Business Media
ISBN 13 : 1461302218
Total Pages : 379 pages
Book Rating : 4.4/5 (613 download)
Download or read book Finite or Infinite Dimensional Complex Analysis and Applications written by Le Hung Son and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Sean Dineen
Publisher : Springer Science & Business Media
ISBN 13 : 1447108698
Total Pages : 553 pages
Book Rating : 4.4/5 (471 download)
Download or read book Complex Analysis on Infinite Dimensional Spaces written by Sean Dineen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : G.I. Zapata
Publisher : Elsevier
ISBN 13 : 9780080871974
Total Pages : 476 pages
Book Rating : 4.8/5 (719 download)
Download or read book Functional Analysis, Holomorphy and Approximation Theory II written by G.I. Zapata and published by Elsevier. This book was released on 2000-04-01 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functional Analysis, Holomorphy and Approximation Theory II
Author : Mark Elin
Publisher : Springer
ISBN 13 : 3030050203
Total Pages : 229 pages
Book Rating : 4.0/5 (3 download)
Download or read book Numerical Range of Holomorphic Mappings and Applications written by Mark Elin and published by Springer. This book was released on 2019-03-11 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes recent developments as well as some classical results regarding holomorphic mappings. The book starts with a brief survey of the theory of semigroups of linear operators including the Hille-Yosida and the Lumer-Phillips theorems. The numerical range and the spectrum of closed densely defined linear operators are then discussed in more detail and an overview of ergodic theory is presented. The analytic extension of semigroups of linear operators is also discussed. The recent study of the numerical range of composition operators on the unit disk is mentioned. Then, the basic notions and facts in infinite dimensional holomorphy and hyperbolic geometry in Banach and Hilbert spaces are presented, L. A. Harris' theory of the numerical range of holomorphic mappings is generalized, and the main properties of the so-called quasi-dissipative mappings and their growth estimates are studied. In addition, geometric and quantitative analytic aspects of fixed point theory are discussed. A special chapter is devoted to applications of the numerical range to diverse geometric and analytic problems.
Author : Guido I. Zapata
Publisher : CRC Press
ISBN 13 : 1000111032
Total Pages : 473 pages
Book Rating : 4.0/5 (1 download)
Download or read book Functional Analysis, Holomorphy, and Approximation Theory written by Guido I. Zapata and published by CRC Press. This book was released on 2020-12-22 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains papers on complex analysis, function spaces, harmonic analysis, and operators, presented at the International seminar on Functional Analysis, Holomorphy, and Approximation Theory held in 1979. It is addressed to mathematicians and advanced graduate students in mathematics.
Author : Soo Bong Chae
Publisher : CRC Press
ISBN 13 : 1000146537
Total Pages : 442 pages
Book Rating : 4.0/5 (1 download)
Download or read book Holomorphy and Calculus in Normed SPates written by Soo Bong Chae and published by CRC Press. This book was released on 2020-11-26 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic introduction to the theory of holomorphic mappings in normed spaces which has been scattered throughout the literature. It gives the necessary, elementary background for all branches of modern mathematics involving differential calculus in higher dimensional spaces.
Author : K.-D. Bierstedt
Publisher : Elsevier
ISBN 13 : 9780080871493
Total Pages : 341 pages
Book Rating : 4.8/5 (714 download)
Download or read book Functional Analysis: Surveys and Recent Results II written by K.-D. Bierstedt and published by Elsevier. This book was released on 1980-01-01 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functional Analysis: Surveys and Recent Results II
Author : S. B. Chae
Publisher : CRC Press
ISBN 13 : 9780824772314
Total Pages : 444 pages
Book Rating : 4.7/5 (723 download)
Download or read book Holomorphy and Calculus in Normed SPates written by S. B. Chae and published by CRC Press. This book was released on 1985-04-29 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic introduction to the theory of holomorphic mappings in normed spaces which has been scattered throughout the literature. It gives the necessary, elementary background for all branches of modern mathematics involving differential calculus in higher dimensional spaces.
Author : J.F. Colombeau
Publisher : Elsevier
ISBN 13 : 9780080871752
Total Pages : 454 pages
Book Rating : 4.8/5 (717 download)
Download or read book Differential Calculus and Holomorphy written by J.F. Colombeau and published by Elsevier. This book was released on 2011-08-18 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Calculus and Holomorphy
Author : S. Dineen
Publisher : Elsevier
ISBN 13 : 9780080871684
Total Pages : 491 pages
Book Rating : 4.8/5 (716 download)
Download or read book Complex Analysis in Locally Convex Spaces written by S. Dineen and published by Elsevier. This book was released on 2011-08-18 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex Analysis in Locally Convex Spaces
Author : Klaus Gürlebeck
Publisher : Springer
ISBN 13 : 3034809646
Total Pages : 390 pages
Book Rating : 4.0/5 (348 download)
Download or read book Application of Holomorphic Functions in Two and Higher Dimensions written by Klaus Gürlebeck and published by Springer. This book was released on 2016-06-20 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Mark Lʹvovich Agranovskiĭ
Publisher : American Mathematical Soc.
ISBN 13 : 0821841505
Total Pages : 482 pages
Book Rating : 4.8/5 (218 download)
Download or read book Complex Analysis and Dynamical Systems III written by Mark Lʹvovich Agranovskiĭ and published by American Mathematical Soc.. This book was released on 2008 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume cover a wide variety of topics in the geometric theory of functions of one and several complex variables, including univalent functions, conformal and quasiconformal mappings, minimal surfaces, and dynamics in infinite-dimensional spaces. In addition, there are several articles dealing with various aspects of approximation theory and partial differential equations. Taken together, the articles collected here provide the reader with a panorama of activity in complex analysis, drawn by a number of leading figures in the field.
Author : S. Machado
Publisher : Springer
ISBN 13 : 3540385290
Total Pages : 647 pages
Book Rating : 4.5/5 (43 download)
Download or read book Functional Analysis, Holomorphy, and Approximation Theory written by S. Machado and published by Springer. This book was released on 2006-11-15 with total page 647 pages. Available in PDF, EPUB and Kindle. Book excerpt:
