A Primer Of Real Analytic Functions

Author : KRANTZ,PARKS
Publisher : Birkhäuser
Page : 190 pages
File Size : 44,5 Mb
Release : 2013-03-09
Category : Science
ISBN : 9783034876445

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A Primer of Real Analytic Functions by KRANTZ,PARKS Pdf

The subject of real analytic functions is one of the oldest in mathe matical analysis. Today it is encountered early in ones mathematical training: the first taste usually comes in calculus. While most work ing mathematicians use real analytic functions from time to time in their work, the vast lore of real analytic functions remains obscure and buried in the literature. It is remarkable that the most accessible treatment of Puiseux's theorem is in Lefschetz's quite old Algebraic Geometry, that the clearest discussion of resolution of singularities for real analytic manifolds is in a book review by Michael Atiyah, that there is no comprehensive discussion in print of the embedding prob lem for real analytic manifolds. We have had occasion in our collaborative research to become ac quainted with both the history and the scope of the theory of real analytic functions. It seems both appropriate and timely for us to gather together this information in a single volume. The material presented here is of three kinds. The elementary topics, covered in Chapter 1, are presented in great detail. Even results like a real ana lytic inverse function theorem are difficult to find in the literature, and we take pains here to present such topics carefully. Topics of middling difficulty, such as separate real analyticity, Puiseux series, the FBI transform, and related ideas (Chapters 2-4), are covered thoroughly but rather more briskly.

Author : Springer
Publisher : Unknown
Page : 224 pages
File Size : 43,9 Mb
Release : 2012-09-20
Category : Electronic
ISBN : 0817681353

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A Primer of Real Analytic Functions by Springer Pdf

Author : Steven George Krantz,Harold R. Parks
Publisher : Birkhauser
Page : 0 pages
File Size : 53,8 Mb
Release : 2002
Category : Analytic functions
ISBN : 3764342641

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A Primer of Real Analytic Functions by Steven George Krantz,Harold R. Parks Pdf

Author : Steven George Krantz,Harold R. Parks
Publisher : Birkhauser
Page : 184 pages
File Size : 55,7 Mb
Release : 1992-01-01
Category : Analytic functions
ISBN : 3764327685

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A Primer of Real Analytic Functions by Steven George Krantz,Harold R. Parks Pdf

Treats the subject of analytic functions of one or more real variables, using almost solely the techniques of real analysis, an approach that alters the usual progression of ideas and raises previously neglected questions. The beginning requires only a background in calculus, but the increasingly complex topics require increasing sophistication. Annotation copyright by Book News, Inc., Portland, OR

Author : Oscar Blasco
Publisher : American Mathematical Soc.
Page : 266 pages
File Size : 44,9 Mb
Release : 2012
Category : Mathematics
ISBN : 9780821852750

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Topics in Complex Analysis and Operator Theory by Oscar Blasco Pdf

This book contains the lecture notes as well as some invited papers presented at the Third Winter School in Complex Analysis, Operator Theory and Applications held February 2-5, 2010, in Valencia, Spain. The book is divided into two parts. The first is an extended self-contained version of the mini-courses taught at the School. The papers in this first part are: Notes on real analytic functions and classical operators, by Pawel Domanski; Shining a Hilbertian lamp on the bidisk, by John E. McCarthy; Selected problems in perturbation theory, by Vladimir V. Peller; and Composition operators on Hardy-Orlicz spaces, by Luis Rodriguez-Piazza. The second part consists of several research papers on recent advances in the area and some survey articles of an expository character. The articles in this second part are: Remarks on weighted mixed norm spaces, by O. Blasco; Interpolation subspaces of $L^1$ of a vector measure and norm inequalities for the integration operator, by J.M. Calabuig, J. Rodriguez, and E.A. Sanchez-Perez; On the spectra of algebras of analytic functions, by D. Carando, D. Garcia, M. Maestre, and P. Sevilla-Peris; Holomorphic self-maps of the disk intertwining two linear fractional maps, by M.D. Contreras, S. Diaz-Madrigal, M.J. Martin, and D. Vukotic; ABC-type estimates via Garsia-type norms, by K.M. Dyakonov; and Volterra type operators on Bergman spaces with exponential weights, by J. Pau and J.A. Pelaez. The topics selected for the mini-courses cover several aspects of complex analysis and operator theory that play important roles in understanding connections between different areas that are considered in fashion these days. This part is aimed at graduate students and young researchers. The courses are self-contained, focusing on those aspects that are basic and that can lead the readers to a quick understanding of the theories presented in each topic. They start with the classical results and reach a selection of open problems in each case. The research and survey articles are aimed at young researchers in the area, as well as post-doc and senior researchers interested in complex analysis and operator theory. This book is published in cooperation with Real Sociedad Matematica Espanola.

Author : Andrew D. Lewis
Publisher : Springer Nature
Page : 323 pages
File Size : 40,5 Mb
Release : 2023-12-09
Category : Mathematics
ISBN : 9783031379130

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Geometric Analysis on Real Analytic Manifolds by Andrew D. Lewis Pdf

This monograph provides some useful tools for performing global geometric analysis on real analytic manifolds. At the core of the methodology of the book is a variety of descriptions for the topologies for the space of real analytic sections of a real analytic vector bundle and for the space of real analytic mappings between real analytic manifolds. Among the various descriptions for these topologies is a development of geometric seminorms for the space of real analytic sections. To illustrate the techniques in the book, a number of fundamental constructions in differential geometry are shown to induce continuous mappings on spaces of real analytic sections and mappings. Aimed at researchers at the level of Doctoral students and above, the book introduces the reader to the challenges and opportunities of real analytic analysis and geometry.

Author : John Ben Hough,Manjunath Krishnapur ,Yuval Peres ,B\'alint Vir\'ag
Publisher : American Mathematical Soc.
Page : 170 pages
File Size : 43,5 Mb
Release : 2009
Category : Mathematics
ISBN : 9780821843734

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Zeros of Gaussian Analytic Functions and Determinantal Point Processes by John Ben Hough,Manjunath Krishnapur ,Yuval Peres ,B\'alint Vir\'ag Pdf

Examines in some depth two important classes of point processes, determinantal processes and 'Gaussian zeros', i.e., zeros of random analytic functions with Gaussian coefficients. This title presents a primer on modern techniques on the interface of probability and analysis.

Author : Steven G. Krantz
Publisher : American Mathematical Soc.
Page : 243 pages
File Size : 46,5 Mb
Release : 2017-11-07
Category : General -- Instructional exposition (textbooks, tutorial papers, etc.)
ISBN : 9781470436582

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A Primer of Mathematical Writing: Being a Disquisition on Having Your Ideas Recorded, Typeset, Published, Read, and Appreciated, Second Edition by Steven G. Krantz Pdf

This is the second edition of a book originally published in 1997. Today the internet virtually consumes all of our lives (especially the lives of writers). As both readers and writers, we are all aware of blogs, chat rooms, and preprint servers. There are now electronic-only journals and print-on-demand books, Open Access journals and joint research projects such as MathOverflow—not to mention a host of other new realities. It truly is a brave new world, one that can be overwhelming and confusing. The truly new feature of this second edition is an extensive discussion of technological developments. Similar to the first edition, Krantz's frank and straightforward approach makes this book particularly suitable as a textbook for an undergraduate course.

Author : Rolf Nevanlinna
Publisher : Unknown
Page : 392 pages
File Size : 49,8 Mb
Release : 1970
Category : Mathematics
ISBN : UOM:39015038991173

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Analytic Functions by Rolf Nevanlinna Pdf

The present monograph on analytic functions coincides to a large extent with the presentation of the modern thoery of single-valued analytic functions given my earlier works "le théorèm de Picard-Borel et la théorie des fonctions méromorphes and "Eindeutige analytische funktionen."

Author : Jeffrey Stopple
Publisher : Cambridge University Press
Page : 404 pages
File Size : 43,8 Mb
Release : 2003-06-23
Category : Mathematics
ISBN : 0521012538

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A Primer of Analytic Number Theory by Jeffrey Stopple Pdf

An undergraduate-level 2003 introduction whose only prerequisite is a standard calculus course.

Author : Bengt Fornberg ,Cécile Piret
Publisher : SIAM
Page : 371 pages
File Size : 55,5 Mb
Release : 2019-12-23
Category : Mathematics
ISBN : 9781611975987

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Complex Variables and Analytic Functions: An Illustrated Introduction by Bengt Fornberg ,Cécile Piret Pdf

At almost all academic institutions worldwide, complex variables and analytic functions are utilized in courses on applied mathematics, physics, engineering, and other related subjects. For most students, formulas alone do not provide a sufficient introduction to this widely taught material, yet illustrations of functions are sparse in current books on the topic. This is the first primary introductory textbook on complex variables and analytic functions to make extensive use of functional illustrations. Aiming to reach undergraduate students entering the world of complex variables and analytic functions, this book utilizes graphics to visually build on familiar cases and illustrate how these same functions extend beyond the real axis. It covers several important topics that are omitted in nearly all recent texts, including techniques for analytic continuation and discussions of elliptic functions and of Wiener–Hopf methods. It also presents current advances in research, highlighting the subject’s active and fascinating frontier. The primary audience for this textbook is undergraduate students taking an introductory course on complex variables and analytic functions. It is also geared toward graduate students taking a second semester course on these topics, engineers and physicists who use complex variables in their work, and students and researchers at any level who want a reference book on the subject.

Author : Anonim
Publisher : Unknown
Page : 340 pages
File Size : 45,8 Mb
Release : 1958
Category : Analytic functions
ISBN : STANFORD:36105002055304

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Seminars on Analytic Functions by Anonim Pdf

Author : Rolf Herman Nevanlinna
Publisher : Unknown
Page : 197 pages
File Size : 46,5 Mb
Release : 1967
Category : Electronic
ISBN : OCLC:310715256

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Analytic Functions by Rolf Herman Nevanlinna Pdf

Author : Rolf Nevanlinna
Publisher : Unknown
Page : 197 pages
File Size : 43,7 Mb
Release : 1960
Category : Analytic functions
ISBN : OCLC:10623888

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Analytic Functions by Rolf Nevanlinna Pdf

Author : Universitatea "Babeș-Bolyai".
Publisher : Unknown
Page : 550 pages
File Size : 41,9 Mb
Release : 2004
Category : Electronic journals
ISBN : UOM:39015058993976

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Studia Universitatis Babeș-Bolyai by Universitatea "Babeș-Bolyai". Pdf