Download or read book Analytic Functions Smooth up to the Boundary written by Nikolai A. Shirokov and published by Springer. This book was released on 2006-11-14 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph concerns the Nevanlinna factorization of analytic functions smooth, in a sense, up to the boundary. The peculiar properties of such a factorization are investigated for the most common classes of Lipschitz-like analytic functions. The book sets out to create a satisfactory factorization theory as exists for Hardy classes. The reader will find, among other things, the theorem on smoothness for the outer part of a function, the generalization of the theorem of V.P. Havin and F.A. Shamoyan also known in the mathematical lore as the unpublished Carleson-Jacobs theorem, the complete description of the zero-set of analytic functions continuous up to the boundary, generalizing the classical Carleson-Beurling theorem, and the structure of closed ideals in the new wide range of Banach algebras of analytic functions. The first three chapters assume the reader has taken a standard course on one complex variable; the fourth chapter requires supplementary papers cited there. The monograph addresses both final year students and doctoral students beginning to work in this area, and researchers who will find here new results, proofs and methods.
Download or read book Analytic Functions Smooth Up to the Boundary written by Sergei V. Shirokov Nikola Khrushchev and published by . This book was released on 2014-01-15 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Boundary Value Problems For Analytic Functions written by Jian-ke Lu and published by World Scientific. This book was released on 1994-02-04 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with boundary value problems for analytic functions with applications to singular integral equations. New and simpler proofs of certain classical results such as the Plemelj formula, the Privalov theorem and the Poincaré-Bertrand formula are given. Nearly one third of this book contains the author's original works, most of which have not been published in English before and, hence, were previously unknown to most readers in the world.It consists of 7 chapters together with an appendix: Chapter I describes the basic knowledge on Cauchy-type integrals and Cauchy principal value integrals; Chapters II and III study, respectively, fundamental boundary value problems and their applications to singular integral equations for closed contours; Chapters IV and V discuss the same problems for curves with nodes (including open arcs); Chaper VI deals with similar problems for systems of functions; Chapter VII is concerned with some miscellaneous problems and the Appendix contains some basic results on Fredholm integral equations. In most sections, there are carefully selected sets of exercises, some of which supplement the text of the sections; answers/hints are also given for some of these exercises.For graduate students or seniors, all the 7 chapters can be used for a full year course, while the first 3 chapters may be used for a one-semester course.
Download or read book Algebras of Analytic Functions with Smooth Boundary Values written by James Donald Nelson and published by . This book was released on 1970 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Direct and Inverse Boundary Uniqueness Theorems for Analytic Functions Smooth in the Closed Unit Disc written by Jeong Eun Lee and published by . This book was released on 2004 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Harmonic Analysis Partial Differential Equations Banach Spaces and Operator Theory Volume 2 written by María Cristina Pereyra and published by Springer. This book was released on 2017-07-10 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the second of a two volume series. Covering a range of subjects from operator theory and classical harmonic analysis to Banach space theory, this book features fully-refereed, high-quality papers exploring new results and trends in weighted norm inequalities, Schur-Agler class functions, complex analysis, dynamical systems, and dyadic harmonic analysis. Graduate students and researchers in analysis will find inspiration in the articles collected in this volume, which emphasize the remarkable connections between harmonic analysis and operator theory. A survey of the two weight problem for the Hilbert transform and an expository article on the Clark model to the case of non-singular measures and applications to the study of rank-one perturbations are included. The material for this volume is based on the 13th New Mexico Analysis Seminar held at the University of New Mexico, April 3-4, 2014 and on several special sections of the Western Spring Sectional Meeting at the University of New Mexico, April 4-6,2014. During the event, participants honored the memory of Cora Sadosky—a great mathematician who recently passed away and who made significant contributions to the field of harmonic analysis. Cora was an exceptional scientist and human being. She was a world expert in harmonic analysis and operator theory, publishing over fifty-five research papers and authoring a major textbook in the field. Participants of the conference include new and senior researchers, recent doctorates as well as leading experts in the area.
Download or read book On Approximation of Analytic Functions on Domains with Smooth Boundary written by V. K. Dzyadyk and published by . This book was released on 1966 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: For a function defined on a bounded region of the complex plane with smooth boundary it is shown how to construct a sequence of approximating polynomials so that the closeness of approximation depends on the modulus of smoothness of the approximated function.
Download or read book Proceedings of the First Advanced Course in Operator Theory and Complex Analysis written by Alfonso Montes Rodríguez and published by Universidad de Sevilla. This book was released on 2006 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics of the Advanced Course in Operator Theory and Complex Analysis held in Seville in June 2004 ranged from determining the conformal type of Riemann surfaces, to concrete classical operators acting on classical spaces of analytic functions, passing through how the behaviour of the powers of the classical shift operator determines whether every function in a given space of analytic functions on the disk has non-tangential limits almost everywhere, and lattices of jointly invariant subspaces for two translations semigroup.
Download or read book Direct and Inverse Boundary Uniqueness Theorems for Analytic Functions Smooth in the Closod Unit Disc written by Jeong Eun Lee and published by . This book was released on 2004 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Spectral Theory of Functions and Operators written by Nikolaj Kapitonovič Nikolʹskij and published by American Mathematical Soc.. This book was released on 1980 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Number Theory written by Hans P. Schlickewei and published by Springer. This book was released on 2006-11-14 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 15 papers of this selection of contributions to the Journées Arithmétiques 1987 include both survey articles and original research papers and represent a cross-section of topics such as Abelian varieties, algebraic integers, arithmetic algebraic geometry, additive number theory, computational number theory, exponential sums, modular forms, transcendence and Diophantine approximation, uniform distribution.
Download or read book Bifurcations of Planar Vector Fields written by Jean-Pierre Francoise and published by Springer. This book was released on 2006-11-14 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Probability Theory on Vector Spaces IV written by Stamatis Cambanis and published by Springer. This book was released on 2006-11-14 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stability Problems for Stochastic Models written by Vladimir V. Kalashnikov and published by Springer. This book was released on 2006-11-14 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traditionally the Stability seminar, organized in Moscow but held in different locations, has dealt with a spectrum of topics centering around characterization problems and their stability, limit theorems, probabil- ity metrics and theoretical robustness. This volume likewise focusses on these main topics in a series of original and recent research articles.
Download or read book Combinatorial Optimization written by Bruno Simeone and published by Springer. This book was released on 2006-11-14 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: The C.I.M.E. Summer School at Como in 1986 was the first in that series on the subject of combinatorial optimization. Situated between combinatorics, computer science and operations research, the subject draws on a variety of mathematical methods to deal with problems motivated by real-life applications. Recent research has focussed on the connections to theoretical computer science, in particular to computational complexity and algorithmic issues. The Summer School's activity centered on the 4 main lecture courses, the notes of which are included in this volume:
Download or read book Quantum Probability and Applications IV written by Luigi Accardi and published by Springer. This book was released on 2006-11-14 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, the fourth of the quantum probability series, collects part of the contributions to the Year of Quantum Probability organized by the Volterra Center of University of Rome II. The intensive communication among researchers during this Year allowed several open problems to be solved and several inexpected connections to be revealed.
Download or read book Number Theory written by David V. Chudnovsky and published by Springer. This book was released on 2006-11-14 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: The New York Number Theory Seminar was organized in 1982 to provide a forum for the presentation and discussion of recent advances in higher arithmetic and its applications. Papers included in this volume are based on the lectures presented by their authors at the Seminar at the Graduate Center of C.U.N.Y. in 1985-88. Papers in the volume cover a wide spectrum of number theoretic topics ranging from additive number theory and diophantine approximations to algebraic number theory and relations with algebraic geometry and topology.
