Approximation By Bounded Analytic Functions To Functions Represented By Dirichlet Series

Author : J. P. Evans
Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.65/5 ( download)

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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.

Author : Joseph Leonard Walsh
Publisher :
ISBN 13 :
Total Pages : 64 pages
Book Rating : 4.92/5 ( download)

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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:

Author : Javad Mashreghi
Publisher : Springer
ISBN 13 : 1493975439
Total Pages : 278 pages
Book Rating : 4.33/5 ( download)

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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.

Author : Joseph Leonard Walsh
Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.74/5 ( download)

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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:

Author : Hervé Queffélec
Publisher : Springer Nature
ISBN 13 : 9811593515
Total Pages : 300 pages
Book Rating : 4.12/5 ( download)

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Download or read book Diophantine Approximation and Dirichlet Series written by Hervé Queffélec and published by Springer Nature. This book was released on 2021-01-27 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of the book includes a new chapter on the study of composition operators on the Hardy space and their complete characterization by Gordon and Hedenmalm. The book is devoted to Diophantine approximation, the analytic theory of Dirichlet series and their composition operators, and connections between these two domains which often occur through the Kronecker approximation theorem and the Bohr lift. The book initially discusses Harmonic analysis, including a sharp form of the uncertainty principle, Ergodic theory and Diophantine approximation, basics on continued fractions expansions, and the mixing property of the Gauss map and goes on to present the general theory of Dirichlet series with classes of examples connected to continued fractions, Bohr lift, sharp forms of the Bohnenblust–Hille theorem, Hardy–Dirichlet spaces, composition operators of the Hardy–Dirichlet space, and much more. Proofs throughout the book mix Hilbertian geometry, complex and harmonic analysis, number theory, and ergodic theory, featuring the richness of analytic theory of Dirichlet series. This self-contained book benefits beginners as well as researchers.

Author : Lawrence Zalcman
Publisher : Springer
ISBN 13 : 3540358250
Total Pages : 164 pages
Book Rating : 4.51/5 ( download)

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Download or read book Analytic Capacity and Rational Approximation written by Lawrence Zalcman and published by Springer. This book was released on 2006-11-15 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Joseph Leonard Walsh
Publisher :
ISBN 13 :
Total Pages : 82 pages
Book Rating : 4.57/5 ( download)

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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 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : J. L. Walsh
Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.43/5 ( download)

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Download or read book On Approximation by Rational Functions and by Bounded Analytic Functions written by J. L. Walsh and published by . This book was released on 1955 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author :
Publisher :
ISBN 13 :
Total Pages : 66 pages
Book Rating : 4.28/5 ( download)

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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:

Author : G. G. Lorentz
Publisher : American Mathematical Society
ISBN 13 : 1470474948
Total Pages : 200 pages
Book Rating : 4.42/5 ( download)

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Download or read book Approximation of Functions written by G. G. Lorentz and published by American Mathematical Society. This book was released on 2023-05-08 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an easily accessible account of the approximation of functions. It is simple and without unnecessary details, but complete enough to include the classical results of the theory. With only a few exceptions, only functions of one real variable are considered. A major theme is the degree of uniform approximation by linear sets of functions. This encompasses approximations by trigonometric polynomials, algebraic polynomials, rational functions, and polynomial operators. The chapter on approximation by operators does not assume extensive knowledge of functional analysis. Two chapters cover the important topics of widths and entropy. The last chapter covers the solution by Kolmogorov and Arnol?d of Hilbert's 13th problem. There are notes at the end of each chapter that give information about important topics not treated in the main text. Each chapter also has a short set of challenging problems, which serve as illustrations.