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Author: Mario Gonzalez
Publisher: Routledge
Published: 2018-03-09
Total Pages: 544
ISBN-13: 1351459384
DOWNLOAD EBOOKA selection of some important topics in complex analysis, intended as a sequel to the author's Classical complex analysis (see preceding entry). The five chapters are devoted to analytic continuation; conformal mappings, univalent functions, and nonconformal mappings; entire function; meromorphic fu
Author: Vladimir Ya. Eiderman
Publisher: Springer Science & Business Media
Published: 2006-03-30
Total Pages: 225
ISBN-13: 3764373407
DOWNLOAD EBOOKThis volume opens with a paper by V.P. Havin that presents a comprehensive survey of the work of mathematician S.Ya. Khavinson. It includes a complete bibliography, previously unpublished, of 163 items, and twelve peer-reviewed research and expository papers by leading mathematicians, including the joint paper by Khavinson and T.S. Kuzina. The emphasis is on the usage of tools from functional analysis, potential theory, algebra, and topology.
Author: Carlos A. Berenstein
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 491
ISBN-13: 1461384451
DOWNLOAD EBOOKA companion volume to the text "Complex Variables: An Introduction" by the same authors, this book further develops the theory, continuing to emphasize the role that the Cauchy-Riemann equation plays in modern complex analysis. Topics considered include: Boundary values of holomorphic functions in the sense of distributions; interpolation problems and ideal theory in algebras of entire functions with growth conditions; exponential polynomials; the G transform and the unifying role it plays in complex analysis and transcendental number theory; summation methods; and the theorem of L. Schwarz concerning the solutions of a homogeneous convolution equation on the real line and its applications in harmonic function theory.
Author: Mario O. González
Publisher:
Published: 1991
Total Pages:
ISBN-13:
DOWNLOAD EBOOKAuthor: Jerzy Kąkol
Publisher: Springer Science & Business Media
Published: 2011-08-30
Total Pages: 494
ISBN-13: 1461405297
DOWNLOAD EBOOK"Descriptive Topology in Selected Topics of Functional Analysis" is a collection of recent developments in the field of descriptive topology, specifically focused on the classes of infinite-dimensional topological vector spaces that appear in functional analysis. Such spaces include Fréchet spaces, (LF)-spaces and their duals, and the space of continuous real-valued functions C(X) on a completely regular Hausdorff space X, to name a few. These vector spaces appear in functional analysis in distribution theory, differential equations, complex analysis, and various other analytical settings. This monograph provides new insights into the connections between the topological properties of linear function spaces and their applications in functional analysis.
Author: Theodore W. Gamelin
Publisher: Springer Science & Business Media
Published: 2013-11-01
Total Pages: 508
ISBN-13: 0387216073
DOWNLOAD EBOOKAn introduction to complex analysis for students with some knowledge of complex numbers from high school. It contains sixteen chapters, the first eleven of which are aimed at an upper division undergraduate audience. The remaining five chapters are designed to complete the coverage of all background necessary for passing PhD qualifying exams in complex analysis. Topics studied include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces, with emphasis placed on the three geometries: spherical, euclidean, and hyperbolic. Throughout, exercises range from the very simple to the challenging. The book is based on lectures given by the author at several universities, including UCLA, Brown University, La Plata, Buenos Aires, and the Universidad Autonomo de Valencia, Spain.
Author: Lev Izrailevich Volkovyski?
Publisher: Courier Corporation
Published: 1991-01-01
Total Pages: 450
ISBN-13: 0486669130
DOWNLOAD EBOOKOver 1500 problems on theory of functions of the complex variable; coverage of nearly every branch of classical function theory. Topics include conformal mappings, integrals and power series, Laurent series, parametric integrals, integrals of the Cauchy type, analytic continuation, Riemann surfaces, much more. Answers and solutions at end of text. Bibliographical references. 1965 edition.
Author: Joseph Bak
Publisher: Allied Publishers
Published: 1982
Total Pages: 414
ISBN-13: 9788170234654
DOWNLOAD EBOOKAuthor: Mario Gonzalez
Publisher: CRC Press
Published: 1991-09-24
Total Pages: 796
ISBN-13: 9780824784157
DOWNLOAD EBOOKText on the theory of functions of one complex variable contains, with many elaborations, the subject of the courses and seminars offered by the author over a period of 40 years, and should be considered a source from which a variety of courses can be drawn. In addition to the basic topics in the cl
Author: Mats Andersson
Publisher: Springer Science & Business Media
Published: 1996-11-15
Total Pages: 174
ISBN-13: 9780387947549
DOWNLOAD EBOOKThis book is an outgrowth of lectures given on several occasions at Chalmers University of Technology and Goteborg University during the last ten years. As opposed to most introductory books on complex analysis, this one as sumes that the reader has previous knowledge of basic real analysis. This makes it possible to follow a rather quick route through the most fundamen tal material on the subject in order to move ahead to reach some classical highlights (such as Fatou theorems and some Nevanlinna theory), as well as some more recent topics (for example, the corona theorem and the HI_ BMO duality) within the time frame of a one-semester course. Sections 3 and 4 in Chapter 2, Sections 5 and 6 in Chapter 3, Section 3 in Chapter 5, and Section 4 in Chapter 7 were not contained in my original lecture notes and therefore might be considered special topics. In addition, they are completely independent and can be omitted with no loss of continuity. The order of the topics in the exposition coincides to a large degree with historical developments. The first five chapters essentially deal with theory developed in the nineteenth century, whereas the remaining chapters contain material from the early twentieth century up to the 1980s. Choosing methods of presentation and proofs is a delicate task. My aim has been to point out connections with real analysis and harmonic anal ysis, while at the same time treating classical complex function theory.
