Download or read book Bounded Analytic Functions written by John Garnett and published by Springer Science & Business Media. This book was released on 2007-04-05 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an account of the theory of Hardy spaces in one dimension, with emphasis on some of the exciting developments of the past two decades or so. The last seven of the ten chapters are devoted in the main to these recent developments. The motif of the theory of Hardy spaces is the interplay between real, complex, and abstract analysis. While paying proper attention to each of the three aspects, the author has underscored the effectiveness of the methods coming from real analysis, many of them developed as part of a program to extend the theory to Euclidean spaces, where the complex methods are not available.
Download or read book Bounded Analytic Functions written by John B. Garnett and published by . This book was released on 1981 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Bounded Analytic Functions written by and published by Academic Press. This book was released on 1981-10-12 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bounded Analytic Functions
Download or read book Blaschke Products written by Peter Colwell and published by . This book was released on 1985 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gathers the principal research on this class of functions in analytic function theory
Download or read book On Approximation by Bounded Analytic Functions written by Joseph Leonard Walsh and published by . This book was released on 1956 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Bounded Analytic Functions written by Raphael Mitchel Robinson and published by . This book was released on 1944 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Approximation by Bounded Analytic Functions to Functions Represented by Dirichlet Series written by J. P. Evans and published by . This book was released on 1961 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: Results concerning approximation to functions analytic on a closed point set R̄0 by arbitrary functions analytic and bounded in a region R1 containing R̄0 were first established by Walsh [4] in 1938 and later extended by the present writers to the limiting case where R̄0 and the boundary of R1 have points in common [5]. It is the purpose of the present note to continue the study of this problem now in situations where the approximated function is no longer assumed analytic at points common to the boundaries of R0 and R1.
Download or read book Seminars on Analytic Functions written by and published by . This book was released on 1958 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Approximation by Bounded Analytic Functions written by Joseph Leonard Walsh and published by . This book was released on 1957 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Analytic Functions written by Rolf Nevanlinna and published by Springer. This book was released on 2013-12-20 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present monograph on analytic functions coincides to a lar[extent with the presentation of the modern theory of single-value analytic functions given in my earlier works "Le theoreme de Picarc Borel et la theorie des fonctions meromorphes" (Paris: Gauthier-Villar 1929) and "Eindeutige analytische Funktionen" (Die Grundlehren dt mathematischen Wissenschaften in Einzeldarstellungen, VoL 46, 1: edition Berlin: Springer 1936, 2nd edition Berlin-Gottingen-Heidelberg Springer 1953). In these presentations I have strived to make the individual result and their proofs readily understandable and to treat them in the ligh of certain guiding principles in a unified way. A decisive step in thi direction within the theory of entire and meromorphic functions consiste- in replacing the classical representation of these functions through ca nonical products with more general tools from the potential theor (Green's formula and especially the Poisson-Jensen formula). On thi foundation it was possible to introduce the quantities (the characteristic the proximity and the counting functions) which are definitive for th
Download or read book Note on of Approximation by Bounded Analytic Functions written by Joseph Leonard Walsh and published by . This book was released on 1958 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Approximation by Bounded Analytic Functions written by Joseph Leonard Walsh and published by . This book was released on 1958 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Approximation by Bounded Analytic Functions written by and published by . This book was released on 1960 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Exposed Points in Spaces of Bounded Analytic Functions written by Stephen D. Fisher and published by . This book was released on 1967 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Derivatives of Inner Functions written by Javad Mashreghi and published by Springer Science & Business Media. This book was released on 2012-11-14 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inner functions form an important subclass of bounded analytic functions. Since they have unimodular boundary values, they appear in many extremal problems of complex analysis. They have been extensively studied since early last century, and the literature on this topic is vast. Therefore, this book is devoted to a concise study of derivatives of these objects, and confined to treating the integral means of derivatives and presenting a comprehensive list of results on Hardy and Bergman means. The goal is to provide rapid access to the frontiers of research in this field. This monograph will allow researchers to get acquainted with essentials on inner functions, and it is self-contained, which makes it accessible to graduate students.
Download or read book New Trends in Approximation Theory written by Javad Mashreghi and published by Springer. This book was released on 2018-03-28 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: The international conference entitled "New Trends in Approximation Theory" was held at the Fields Institute, in Toronto, from July 25 until July 29, 2016. The conference was fondly dedicated to the memory of our unique friend and colleague, André Boivin, who gave tireless service in Canada until his very last moment of his life in October 2014. The impact of his warm personality and his fine work on Complex Approximation Theory was reflected by the mathematical excellence and the wide research range of the 37 participants. In total there were 27 talks, delivered by well-established mathematicians and young researchers. In particular, 19 invited lectures were delivered by leading experts of the field, from 8 different countries. The wide variety of presentations composed a mosaic of aspects of approximation theory, highlighting interesting connections with important contemporary areas of Analysis. Primary topics discussed include application of approximation theory (isoperimetric inequalities, construction of entire order-isomorphisms, dynamical sampling); approximation by harmonic and holomorphic functions (especially uniform and tangential approximation), polynomial and rational approximation; zeros of approximants and zero-free approximation; tools used in approximation theory; approximation on complex manifolds, in product domains, and in function spaces; and boundary behaviour and universality properties of Taylor and Dirichlet series.
Download or read book Linear Spaces of Analytic Functions written by Pasquale Porcelli and published by . This book was released on 1966 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
