Carlemans Formulas In Complex Analysis

Author : L.A. Aizenberg
Publisher : Springer Science & Business Media
ISBN 13 : 9401115966
Total Pages : 317 pages
Book Rating : 4.64/5 ( download)

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Download or read book Carleman’s Formulas in Complex Analysis written by L.A. Aizenberg and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integral representations of holomorphic functions play an important part in the classical theory of functions of one complex variable and in multidimensional com plex analysis (in the later case, alongside with integration over the whole boundary aD of a domain D we frequently encounter integration over the Shilov boundary 5 = S(D)). They solve the classical problem of recovering at the points of a do main D a holomorphic function that is sufficiently well-behaved when approaching the boundary aD, from its values on aD or on S. Alongside with this classical problem, it is possible and natural to consider the following one: to recover the holomorphic function in D from its values on some set MeaD not containing S. Of course, M is to be a set of uniqueness for the class of holomorphic functions under consideration (for example, for the functions continuous in D or belonging to the Hardy class HP(D), p ~ 1).

Author : Mark Lʹvovich Agranovskiĭ
Publisher : American Mathematical Soc.
ISBN 13 : 0821841505
Total Pages : 482 pages
Book Rating : 4.01/5 ( download)

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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 : Mark Lʹvovich Agranovskiĭ
Publisher : American Mathematical Soc.
ISBN 13 : 0821890247
Total Pages : 337 pages
Book Rating : 4.40/5 ( download)

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Download or read book Complex Analysis and Dynamical Systems V written by Mark Lʹvovich Agranovskiĭ and published by American Mathematical Soc.. This book was released on 2013-06-03 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Fifth International Conference on Complex Analysis and Dynamical Systems, held from May 22-27, 2011, in Akko (Acre), Israel. The papers cover a wide variety of topics in complex analysis and partial differential

Author : Victor P. Havin
Publisher : Birkhäuser
ISBN 13 : 3034883781
Total Pages : 407 pages
Book Rating : 4.88/5 ( download)

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Download or read book Complex Analysis, Operators, and Related Topics written by Victor P. Havin and published by Birkhäuser. This book was released on 2012-12-06 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to some topical problems and various applications of operator theory and its interplay with modern complex analysis. 30 carefully selected surveys and research papers are united by the "operator theoretic ideology" and systematic use of modern function theoretical techniques.

Author : Zair Ibragimov
Publisher : Springer
ISBN 13 : 3030011445
Total Pages : 226 pages
Book Rating : 4.44/5 ( download)

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Download or read book Algebra, Complex Analysis, and Pluripotential Theory written by Zair Ibragimov and published by Springer. This book was released on 2018-10-11 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features papers presented during a special session on algebra, functional analysis, complex analysis, and pluripotential theory. Research articles focus on topics such as slow convergence, spectral expansion, holomorphic extension, m-subharmonic functions, pseudo-Galilean group, involutive algebra, Log-integrable measurable functions, Gibbs measures, harmonic and analytic functions, local automorphisms, Lie algebras, and Leibniz algebras. Many of the papers address the theory of harmonic functions, and the book includes a number of extensive survey papers. Graduate and researchers interested in functional analysis, complex analysis, operator algebras and non-associative algebras will find this book relevant to their studies. The special session was part of the second USA-Uzbekistan Conference on Analysis and Mathematical Physics held on August 8-12, 2017 at Urgench State University (Uzbekistan). The conference encouraged communication and future collaboration among U.S. mathematicians and their counterparts in Uzbekistan and other countries. Main themes included algebra and functional analysis, dynamical systems, mathematical physics and partial differential equations, probability theory and mathematical statistics, and pluripotential theory. A number of significant, recently established results were disseminated at the conference’s scheduled plenary talks, while invited talks presented a broad spectrum of findings in several sessions. Based on a different session from the conference, Differential Equations and Dynamical Systems is also published in the Springer Proceedings in Mathematics & Statistics Series.

Author : Man Wah Wong
Publisher : World Scientific
ISBN 13 : 9812811079
Total Pages : 159 pages
Book Rating : 4.73/5 ( download)

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Download or read book Complex Analysis written by Man Wah Wong and published by World Scientific. This book was released on 2008 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is ideal for a one-semester course for advanced undergraduate students and first-year graduate students in mathematics. It is a straightforward and coherent account of a body of knowledge in complex analysis, from complex numbers to Cauchy's integral theorems and formulas to more advanced topics such as automorphism groups, the Schwarz problem in partial differential equations, and boundary behavior of harmonic functions.The book covers a wide range of topics, from the most basic complex numbers to those that underpin current research on some aspects of analysis and partial differential equations. The novelty of this book lies in its choice of topics, genesis of presentation, and lucidity of exposition.

Author : S. Saitoh
Publisher : Springer Science & Business Media
ISBN 13 : 1475732988
Total Pages : 288 pages
Book Rating : 4.86/5 ( download)

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Download or read book Analytic Extension Formulas and their Applications written by S. Saitoh and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analytic Extension is a mysteriously beautiful property of analytic functions. With this point of view in mind the related survey papers were gathered from various fields in analysis such as integral transforms, reproducing kernels, operator inequalities, Cauchy transform, partial differential equations, inverse problems, Riemann surfaces, Euler-Maclaurin summation formulas, several complex variables, scattering theory, sampling theory, and analytic number theory, to name a few. Audience: Researchers and graduate students in complex analysis, partial differential equations, analytic number theory, operator theory and inverse problems.

Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
ISBN 13 : 9401512795
Total Pages : 639 pages
Book Rating : 4.94/5 ( download)

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Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 639 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second supplementary volume to Kluwer's highly acclaimed eleven-volume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing eleven volumes, and together these twelve volumes represent the most authoritative, comprehensive and up-to-date Encyclopaedia of Mathematics available.

Author : Man-wah Wong
Publisher : World Scientific Publishing Company
ISBN 13 : 9813107162
Total Pages : 160 pages
Book Rating : 4.68/5 ( download)

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Download or read book Complex Analysis written by Man-wah Wong and published by World Scientific Publishing Company. This book was released on 2008-03-14 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is ideal for a one-semester course for advanced undergraduate students and first-year graduate students in mathematics. It is a straightforward and coherent account of a body of knowledge in complex analysis, from complex numbers to Cauchy's integral theorems and formulas to more advanced topics such as automorphism groups, the Schwarz problem in partial differential equations, and boundary behavior of harmonic functions.The book covers a wide range of topics, from the most basic complex numbers to those that underpin current research on some aspects of analysis and partial differential equations. The novelty of this book lies in its choice of topics, genesis of presentation, and lucidity of exposition.

Author : Sheng Gong
Publisher : World Scientific Publishing Company
ISBN 13 : 9813106980
Total Pages : 260 pages
Book Rating : 4.87/5 ( download)

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Download or read book Concise Complex Analysis written by Sheng Gong and published by World Scientific Publishing Company. This book was released on 2007-04-26 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise textbook on complex analysis for undergraduate and graduate students, this book is written from the viewpoint of modern mathematics: the Bar {Partial}-equation, differential geometry, Lie groups, all the traditional material on complex analysis is included. Setting it apart from others, the book makes many statements and proofs of classical theorems in complex analysis simpler, shorter and more elegant: for example, the Mittag-Leffer theorem is proved using the Bar {Partial}-equation, and the Picard theorem is proved using the methods of differential geometry.