Download or read book Function Classes on the Unit Disc written by Miroslav Pavlović and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-08-19 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised and extended edition of a well-established monograph in function theory contains a study on various function classes on the disc, a number of new results and new or easy proofs of old but interesting theorems (for example, the Fefferman–Stein theorem on subharmonic behavior or the theorem on conjugate functions in Bergman spaces) and a full discussion on g-functions.

Download or read book Function Classes on the Unit Disc written by Miroslav Pavlović and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-08-19 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised and extended edition of a well-established monograph in function theory contains a study on various function classes on the disc, a number of new results and new or easy proofs of old but interesting theorems (for example, the Fefferman-Stein theorem on subharmonic behavior or the theorem on conjugate functions in Bergman spaces) and a full discussion on g-functions.

Download or read book Function Classes on the Unit Disc written by Miroslav Pavlović and published by Walter de Gruyter. This book was released on 2013-12-12 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph contains a study on various function classes, a number of new results and new or easy proofs of old results (Fefferman-Stein theorem on subharmonic behavior, theorems on conjugate functions and fractional integration on Bergman spaces, Fefferman's duality theorem), which are interesting for specialists; applications of the Hardy-Littlewood inequalities on Taylor coefficients to (C, α)-maximal theorems and (C, α)-convergence; a study of BMOA, due to Knese, based only on Green's formula; the problem of membership of singular inner functions in Besov and Hardy-Sobolev spaces; a full discussion of g-function (all p > 0) and Calderón's area theorem; a new proof, due to Astala and Koskela, of the Littlewood-Paley inequality for univalent functions; and new results and proofs on Lipschitz spaces, coefficient multipliers and duality, including compact multipliers and multipliers on spaces with non-normal weights. It also contains a discussion of analytic functions and lacunary series with values in quasi-Banach spaces with applications to function spaces and composition operators. Sixteen open questions are posed. The reader is assumed to have a good foundation in Lebesgue integration, complex analysis, functional analysis, and Fourier series. Further information can be found at the author's website at http://poincare.matf.bg.ac.rs/~pavlovic.

Download or read book Functions of Omega Bounded Type written by Armen M. Jerbashian and published by Springer Nature. This book was released on with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book New Trends In Geometric Function Theory And Applications Proceedings Of The International Conference written by O P Juneja and published by #N/A. This book was released on 1991-05-17 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: After the positive settlement of Bieberbach's conjecture by Prof. Louis dé Branges, there are new avenues open for researchers in the field of Geometric Function Theory. New directions of research and new problems arising in this field are mainly considered in this proceedings.

Download or read book Starting with the Unit Circle written by L.-K. Hua and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is with great pleasure that I am writing the preface for my little book, "Starting with the Unit Circle", in the office of Springer Verlag in Heidel berg. This is symbolic of the fact that I have once again joined in the main stream of scientific exchange between East and West. Since the establishment of the People's Republic of China, I have written "An Introduction to Number Theory" for the young people studying Number Theory: for the young people studying algebra, Prof. Wan Zhe-xian (Wan Che-hsien) and I have written "Classical Groups"; for those studying the theory of functions of several complex variables, I have written "Har monic Analysis of Functions of Several Complex Variables in the Classical Domains", * and for university students I have written "Introduction to Higher Mathematics". The present volume had been written for those who were beginning to engage in research at the Chinese University of Science and Technology and at the Guangdong Zhongshan University. Its purpose is none other than to make the students see the crucial ideas in their simplest manifestations, so that when they go on to the more complex parts of modem mathematics, they will not be without guidance. For example, in the first chapter when I point out that the Poisson kernel is just the Jacobian of some transformation, I am merely revealing the source of one of the main tools in my work on harmonic analysis in the classical domains.

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:

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.

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.

Download or read book Nine Papers on Analysis written by and published by American Mathematical Soc.. This book was released on 1962-12-31 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Scattering Two Volume Set written by E. R. Pike and published by Elsevier. This book was released on 2001-10-09 with total page 1831 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scattering is the collision of two objects that results in a change of trajectory and energy. For example, in particle physics, such as electrons, photons, or neutrons are "scattered off" of a target specimen, resulting in a different energy and direction. In the field of electromagnetism, scattering is the random diffusion of electromagnetic radiation from air masses is an aid in the long-range sending of radio signals over geographic obstacles such as mountains. This type of scattering, applied to the field of acoustics, is the spreading of sound in many directions due to irregularities in the transmission medium. Volume I of Scattering will be devoted to basic theoretical ideas, approximation methods, numerical techniques and mathematical modeling. Volume II will be concerned with basic experimental techniques, technological practices, and comparisons with relevant theoretical work including seismology, medical applications, meteorological phenomena and astronomy. This reference will be used by researchers and graduate students in physics, applied physics, biophysics, chemical physics, medical physics, acoustics, geosciences, optics, mathematics, and engineering. This is the first encyclopedic-range work on the topic of scattering theory in quantum mechanics, elastodynamics, acoustics, and electromagnetics. It serves as a comprehensive interdisciplinary presentation of scattering and inverse scattering theory and applications in a wide range of scientific fields, with an emphasis, and details, up-to-date developments. Scattering also places an emphasis on the problems that are still in active current research. The first interdisciplinary reference source on scattering to gather all world expertise in this technique Covers the major aspects of scattering in a common language, helping to widening the knowledge of researchers across disciplines The list of editors, associate editors and contributors reads like an international Who's Who in the interdisciplinary field of scattering

Download or read book Current Topics in Analytic Function Theory written by H. M. Srivastava and published by World Scientific. This book was released on 1992 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of research-and-survey articles by eminent and active workers around the world on the various areas of current research in the theory of analytic functions.Many of these articles emerged essentially from the proceedings of, and various deliberations at, three recent conferences in Japan and Korea: An International Seminar on Current Topics in Univalent Functions and Their Applications which was held in August 1990, in conjunction with the International Congress of Mathematicians at Kyoto, at Kinki University in Osaka; An International Seminar on Univalent Functions, Fractional Calculus, and Their Applications which was held in October 1990 at Fukuoka University; and also the Japan-Korea Symposium on Univalent Functions which was held in January 1991 at Gyeongsang National University in Chinju.

Download or read book Current Topics in Analytic Function Theory written by H M Srivastava and published by World Scientific. This book was released on 1992-12-31 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of research-and-survey articles by eminent and active workers around the world on the various areas of current research in the theory of analytic functions. Many of these articles emerged essentially from the proceedings of, and various deliberations at, three recent conferences in Japan and Korea: An International Seminar on Current Topics in Univalent Functions and Their Applications which was held in August 1990, in conjunction with the International Congress of Mathematicians at Kyoto, at Kinki University in Osaka; An International Seminar on Univalent Functions, Fractional Calculus, and Their Applications which was held in October 1990 at Fukuoka University; and also the Japan-Korea Symposium on Univalent Functions which was held in January 1991 at Gyeongsang National University in Chinju. Contents:Univalent Logharmonic Extensions onto the Unit Disk or onto an Annulus (Z Abdulhadi & W Hengartner)Hypergeometric Functions and Elliptic Integrals (G D Anderson et al.)A Certain Class of Carathéodory Functions Defined by Conditions on the Unit Circle (J Fuka & Z J Jakubowski)Recent Advances in the Theory of Zero Sets of the Bergman Spaces (E A LeBlanc)Spherical Linear Invariance and Uniform Local Spherical Convexity (W C Ma & D Minda)A Special Differential Subordination and Its Application to Univalency Conditions (S S Miller & P T Mocanu)On the Bernardi Integral Operator (M Nunokawa & D K Thomas)The Quasi-Hadamard Products of Certain Analytic Functions (S Owa)Analytic Solutions of a Class of Briot-Bouquet Differential Equations (S Owa & H M Srivastava)A Certain Class of Generalized Hypergeometric Functions Associated with the Hardy Space of Analytic Functions (H M Srivastava)On the Coefficients of the Univalent Functions of the Nevalinna Classes N1 and N2 (P G Todorov)and other papers Readership: Pure and applied mathematicians. keywords:Analytic Functions;Univalent Functions;Geometric Function Theory;Meromorphic Functions;Multivalent Functions;Hypergeometric Functions;Fractional Calculus;Integral Operators;Starlike Functions;Convex Functions;Close-to-Convex Functions;Special Functions;Convolution Operators;Bergman Spaces;Elliptic Integrals;Briot-Bouquet Differential Equations;Caratheodory Functions;Nevanlinna Classes;Schwarz Functions;Spiral-Like Functions;Dynamical Systems

Download or read book The Oxford Handbook of Generality in Mathematics and the Sciences written by Karine Chemla and published by Oxford University Press. This book was released on 2016 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of original essays aims to inquire into the diversity of Generality. Through case studies taken from the history of mathematics, physics and the life sciences, the book provides evidence of different ways of understanding the general in various contexts.

Download or read book Toeplitz Operators and Spectral Function Theory written by N. Nikolsky and published by Birkhäuser. This book was released on 2013-12-01 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume contains selected papers of the Spectral Function Theory seminar, Leningrad Branch of Steklov Mathematical Institute. The papers are mostly devoted to the theory of Toeplitz and model operators. These subjects are considered here from various points of view. Several papers concern the relationships of Toeplitz operators to weighted polynomial approximation. Namely, two papers by B. Solomyak and A. Volberg intensively treat the problem of spectra! multiplicity f~r analytic Toeplitz operators (which are, in fact, multiplication operators) and my paper can serve as an introduction to the problem. This theme of multiplicities is continued in a paper by V. Vasyunin where the multiplicity of the spectrum is computed for Hilbert space contractions with finite defect indices. V. Peller's paper deals with a perturbation theory problem for Toeplitz operators. In a paper by D. Yakubovich a new similarity model for a class of Toeplitz operators is constructed. S. Treil' presents a survey of a part of spectral function theory for vector valued function (Szego-Kolmogorov extreme prob!ems for operator weights, bases of vector rational functions, estimations of Hilbert transform with respect to operator weights, the operator corona problem). As a concluding remark I dare only note that the whole collection convinces us once more without a doubt of the fruitfullness of the natural union of operator theory and complex analysis (if at all the union of these fields is at all different from their intersection).

Download or read book Canadian Mathematical Bulletin written by and published by . This book was released on 1994-06 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical Analysis I Approximation Theory written by Naokant Deo and published by Springer Nature. This book was released on 2020-02-17 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects original research papers and survey articles presented at the International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM), held at Delhi Technological University, India, on 23–25 October 2018. Divided into two volumes, it discusses major topics in mathematical analysis and its applications, and demonstrates the versatility and inherent beauty of analysis. It also shows the use of analytical techniques to solve problems and, wherever possible, derive their numerical solutions. This volume addresses major topics, such as operator theory, approximation theory, fixed-point theory, holomorphic functions, summability theory, and analytic functions. It is a valuable resource for students as well as researchers in mathematical sciences.