Subharmonic Functions, Generalizations, Holomorphic Functions, Meromorphic Functions, and Properties.

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Author :
Publisher : Bentham Science Publishers
ISBN 13 : 9811498687
Total Pages : 152 pages
Book Rating : 4.8/5 (114 download)

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Book Synopsis Subharmonic Functions, Generalizations, Holomorphic Functions, Meromorphic Functions, and Properties. by : Juhani Riihentaus

Download or read book Subharmonic Functions, Generalizations, Holomorphic Functions, Meromorphic Functions, and Properties. written by Juhani Riihentaus and published by Bentham Science Publishers. This book was released on 2021-05-20 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains different types of subharmonic and harmonic functions. The book brings 12 chapters explaining general and specific types of subharmonic functions (eg. quasinearly subharmonic functions and other separate functions), related partial differential equations, mathematical proofs and extension results. The methods covered in the book also attempt to explain different mathematical analyses such as elliptical equations, domination conditions, weighted boundary behavior. The book serves as a reference work for scholars interested in potential theory and complex analysis.

Introduction to Holomorphic Functions of Several Variables

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Publisher : CRC Press
ISBN 13 : 9780534133092
Total Pages : 250 pages
Book Rating : 4.1/5 (33 download)

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Book Synopsis Introduction to Holomorphic Functions of Several Variables by : R.C. Gunning

Download or read book Introduction to Holomorphic Functions of Several Variables written by R.C. Gunning and published by CRC Press. This book was released on 1990-08-01 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the reader to a wide range of topics in the theory of holomorphic functions of several variables, with fairly complete proofs. It reviews the relevant properties of subharmonic functions and discusses the basic properties of plurisubharmonic functions.

Teichmüller Theory in Riemannian Geometry

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Publisher : Birkhäuser
ISBN 13 : 3034886136
Total Pages : 224 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Teichmüller Theory in Riemannian Geometry by : Anthony Tromba

Download or read book Teichmüller Theory in Riemannian Geometry written by Anthony Tromba and published by Birkhäuser. This book was released on 2012-12-06 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes are based on the joint work of the author and Arthur Fischer on Teichmiiller theory undertaken in the years 1980-1986. Since then many of our colleagues have encouraged us to publish our approach to the subject in a concise format, easily accessible to a broad mathematical audience. However, it was the invitation by the faculty of the ETH Ziirich to deliver the ETH N achdiplom-Vorlesungen on this material which provided the opportunity for the author to develop our research papers into a format suitable for mathematicians with a modest background in differential geometry. We also hoped it would provide the basis for a graduate course stressing the application of fundamental ideas in geometry. For this opportunity the author wishes to thank Eduard Zehnder and Jiirgen Moser, acting director and director of the Forschungsinstitut fiir Mathematik at the ETH, Gisbert Wiistholz, responsible for the Nachdiplom Vorlesungen and the entire ETH faculty for their support and warm hospitality. This new approach to Teichmiiller theory presented here was undertaken for two reasons. First, it was clear that the classical approach, using the theory of extremal quasi-conformal mappings (in this approach we completely avoid the use of quasi-conformal maps) was not easily applicable to the theory of minimal surfaces, a field of interest of the author over many years. Second, many other active mathematicians, who at various times needed some Teichmiiller theory, have found the classical approach inaccessible to them.

Entire and Subharmonic Functions

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821841105
Total Pages : 298 pages
Book Rating : 4.8/5 (411 download)

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Book Synopsis Entire and Subharmonic Functions by :

Download or read book Entire and Subharmonic Functions written by and published by American Mathematical Soc.. This book was released on 1992 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Holomorphic Functions of Several Variables, Volume I

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Publisher : Routledge
ISBN 13 : 1351436937
Total Pages : 136 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Introduction to Holomorphic Functions of Several Variables, Volume I by : R.C. Gunning

Download or read book Introduction to Holomorphic Functions of Several Variables, Volume I written by R.C. Gunning and published by Routledge. This book was released on 2018-05-02 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Holomorphlc Functions of SeveralVariables, Volumes 1-111 provide an extensiveintroduction to the Oka-Cartan theory of holomorphicfunctions of several variables and holomorphicvarieties. Each volume covers a different aspect andcan be read independently.

Separately Analytic Functions

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Publisher : JP Medical Ltd
ISBN 13 : 9783037190982
Total Pages : 316 pages
Book Rating : 4.1/5 (99 download)

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Book Synopsis Separately Analytic Functions by : Marek Jarnicki

Download or read book Separately Analytic Functions written by Marek Jarnicki and published by JP Medical Ltd. This book was released on 2011 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: The story of separately holomorphic functions began about 100 years ago. During the second half of the 19th century, it became known that a separately continuous function is not necessarily continuous as a function of all variables. At the beginning of the 20th century, the study of separately holomorphic functions started due to the fundamental work of Osgood and Hartogs. This book provides the first self-contained and complete presentation of the study of separately holomorphic functions, from its beginnings to current research. Most of the results presented have never been published before in book form. The text is divided into two parts. The first part deals with separately holomorphic functions, ``without singularities''. The second part addresses the situation of existing singularities. A discussion of the classical results related to separately holomorphic functions leads to the most fundamental result, the classical cross theorem as well as various extensions and generalizations, to more complicated ``crosses''. Additionally, several applications for other classes of ``separately regular'' functions are given. A solid background in basic complex analysis is a prerequisite. To make the book self contained, all the results are collected in special introductory chapters and referred to at the beginning of each section. This book is addressed to students and researchers in several complex variables as well as mathematicians and theoretical physicists interested in this area of mathematics.

Complex Analysis I

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Publisher : Springer Science & Business Media
ISBN 13 : 3662033968
Total Pages : 268 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Complex Analysis I by : A.A. Gonchar

Download or read book Complex Analysis I written by A.A. Gonchar and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: A two-part volume containing a comprehensive description of the theory of entire and meromorphic functions of one complex variable and its applications, and a detailed review of recent investigations concerning the function-theoretical pecularities of polyanalytic functions (boundary behaviour, value distributions, degeneration, uniqueness etc).

Encyclopaedia of Mathematics

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Publisher : Springer Science & Business Media
ISBN 13 : 9401512396
Total Pages : 496 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel

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 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathema tics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclo paedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977 - 1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivision has been used). The main requirement for these articles has been that they should give a reason ably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of pre cise theorems with detailed definitions and technical details on how to carry out proofs and con structions.

Encyclopaedia of Mathematics

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Publisher : Springer
ISBN 13 : 1489937978
Total Pages : 927 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Encyclopaedia of Mathematics by : M. Hazewinkel

Download or read book Encyclopaedia of Mathematics written by M. Hazewinkel and published by Springer. This book was released on 2013-12-01 with total page 927 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Universal Decimal Classification: Systematic tables

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Publisher : London : British Standards Institution
ISBN 13 :
Total Pages : 522 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Universal Decimal Classification: Systematic tables by : British Standards Institution

Download or read book Universal Decimal Classification: Systematic tables written by British Standards Institution and published by London : British Standards Institution. This book was released on 1985 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 1596 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2003 with total page 1596 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Functions of a-Bounded Type in the Half-Plane

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Publisher : Springer Science & Business Media
ISBN 13 : 0387236260
Total Pages : 212 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Functions of a-Bounded Type in the Half-Plane by : A.M. Jerbashian

Download or read book Functions of a-Bounded Type in the Half-Plane written by A.M. Jerbashian and published by Springer Science & Business Media. This book was released on 2006-06-18 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is related to the theory of functions of a-bounded type in the ha- plane of the complex plane. I constructed this theory by application of the Li- ville integro-differentiation. To some extent, it is similar to M.M.Djrbashian's factorization theory of the classes Na of functions of a-bounded type in the disc, as much as the well known results on different classes and spaces of regular functions in the half-plane are similar to those in the disc. Besides, the book contains improvements of several results such as the Phragmen-Lindelof Principle and Nevanlinna Factorization in the Half-Plane and offers a new, equivalent definition of the classical Hardy spaces in the half-plane. The last chapter of the book presents author's united work with G.M. Gubreev (Odessa). It gives an application of both a-theories in the disc and in the half-plane in the spectral theory of linear operators. This is a solution of a problem repeatedly stated by M.G.Krein and being of special interest for a long time. The book is proposed for a wide range of readers. Some of its parts are comprehensible for graduate students, while the book in the whole is intended for young researchers and qualified specialists in the field.

Normal Families of Meromorphic Functions

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Publisher : World Scientific
ISBN 13 : 9789810212575
Total Pages : 496 pages
Book Rating : 4.2/5 (125 download)

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Book Synopsis Normal Families of Meromorphic Functions by : Chi-Tai Chuang

Download or read book Normal Families of Meromorphic Functions written by Chi-Tai Chuang and published by World Scientific. This book was released on 1993 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents in a clear and systematic manner the general theory of normal families, quasi-normal families and Qm-normal families of meromorphic functions, and various applications. Much of this book contains results of the author's research, among them is the notion of m-normality which includes the classical notions of normality and quasi-normality introduced by Montel as particular cases. In this book, the notion of closed families of meromorphic functions is also introduced. In addition, applications concerning the existence of the solution of various extremal problems for certain classes of univalent or multivalent functions can also be found.

Complex Analysis I

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (892 download)

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Book Synopsis Complex Analysis I by : Andrei A. Gonchar

Download or read book Complex Analysis I written by Andrei A. Gonchar and published by . This book was released on 1997 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Reviews in Operator Theory, 1980-86

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Publisher :
ISBN 13 :
Total Pages : 542 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Reviews in Operator Theory, 1980-86 by :

Download or read book Reviews in Operator Theory, 1980-86 written by and published by . This book was released on 1989 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Holomorphic Functions, Domains of Holomorphy and Local Properties

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Author :
Publisher : Elsevier
ISBN 13 : 9780080871127
Total Pages : 121 pages
Book Rating : 4.8/5 (711 download)

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Book Synopsis Holomorphic Functions, Domains of Holomorphy and Local Properties by :

Download or read book Holomorphic Functions, Domains of Holomorphy and Local Properties written by and published by Elsevier. This book was released on 2011-08-26 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: Holomorphic Functions, Domains of Holomorphy and Local Properties

Reviews in Complex Analysis, 1980-86

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Publisher :
ISBN 13 :
Total Pages : 792 pages
Book Rating : 4.:/5 (43 download)

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Book Synopsis Reviews in Complex Analysis, 1980-86 by :

Download or read book Reviews in Complex Analysis, 1980-86 written by and published by . This book was released on 1989 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt: