Approximation By Bounded Analytic Functions To Functions Represented By Dirichlet Series

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Approximation By Bounded Analytic Functions To Functions Represented By Dirichlet Series

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Author : J. P. Evans
language : en
Publisher:
Release Date : 1961

Approximation By Bounded Analytic Functions To Functions Represented By Dirichlet Series written by J. P. Evans and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Functional analysis categories.

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.

Technical Abstract Bulletin

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Author : Defense Documentation Center (U.S.)
language : en
Publisher:
Release Date : 1961-07

Technical Abstract Bulletin written by Defense Documentation Center (U.S.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961-07 with Technology categories.

Selected Papers

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Author : Joseph L. Walsh
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-02-11

Selected Papers written by Joseph L. Walsh and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-02-11 with Mathematics categories.

This volume is a selection from the 281 published papers of Joseph Leonard Walsh, former US Naval Officer and professor at University of Maryland and Harvard University. The nine broad sections are ordered following the evolution of his work. Commentaries and discussions of subsequent development are appended to most of the sections. Also included is one of Walsh's most influential works, "A closed set of normal orthogonal function," which introduced what is now known as "Walsh Functions".

U S Government Research Reports

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Author :
language : en
Publisher:
Release Date : 1961

U S Government Research Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Science categories.

Proceedings Of The American Mathematical Society

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Author : American Mathematical Society
language : en
Publisher:
Release Date : 1969

Proceedings Of The American Mathematical Society written by American Mathematical Society and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Electronic journals categories.

Contains the material formerly published in even-numbered issues of the Bulletin of the American Mathematical Society.

Bulletin Of The American Mathematical Society

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Author :
language : en
Publisher:
Release Date : 1993

Bulletin Of The American Mathematical Society written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.

Teorija Isel Matemati Eskij Analiz I Ich Prilo Enija

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Author : Ivan Matveevich Vinogradov
language : en
Publisher: American Mathematical Soc.
Release Date : 1983

Teorija Isel Matemati Eskij Analiz I Ich Prilo Enija written by Ivan Matveevich Vinogradov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Mathematics categories.

Diophantine Approximation And Dirichlet Series

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Author : Herve Queffelec
language : en
Publisher: Springer
Release Date : 2013-08-30

Diophantine Approximation And Dirichlet Series written by Herve Queffelec and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-30 with Mathematics categories.

This self-contained book will benefit beginners as well as researchers. It is devoted to Diophantine approximation, the analytic theory of Dirichlet series, and some connections between these two domains, which often occur through the Kronecker approximation theorem. Accordingly, the book is divided into seven chapters, the first three of which present tools from commutative harmonic analysis, including a sharp form of the uncertainty principle, ergodic theory and Diophantine approximation to be used in the sequel. A presentation of continued fraction expansions, including the mixing property of the Gauss map, is given. Chapters four and five present the general theory of Dirichlet series, with classes of examples connected to continued fractions, the famous Bohr point of view, and then the use of random Dirichlet series to produce non-trivial extremal examples, including sharp forms of the Bohnenblust-Hille theorem. Chapter six deals with Hardy-Dirichlet spaces, which are new and useful Banach spaces of analytic functions in a half-plane. Finally, chapter seven presents the Bagchi-Voronin universality theorems, for the zeta function, and r-tuples of L functions. The proofs, which mix hilbertian geometry, complex and harmonic analysis, and ergodic theory, are a very good illustration of the material studied earlier.

Oar Quarterly Index Of Current Research Results

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Author : United States. Air Force. Office of Aerospace Research
language : en
Publisher:
Release Date : 1959

Oar Quarterly Index Of Current Research Results written by United States. Air Force. Office of Aerospace Research and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with Aeronautics, Military categories.

Oar Cumulative Index Of Research Results

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Author :
language : en
Publisher:
Release Date :

Oar Cumulative Index Of Research Results written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Aeronautics categories.