On the Degree of Convergence of Sequences of Extremal Polynomials and Other Extremal Functions

On the Degree of Convergence of Sequences of Extremal Polynomials and Other Extremal Functions PDF Author: J. L. Walsh
Publisher:
ISBN:
Category : Extremal problems (Mathematics)
Languages : en
Pages : 96

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On the Degree of Convergence of Sequences of Extremal Polynomials and Other Extremal Functions

On the Degree of Convergence of Sequences of Extremal Polynomials and Other Extremal Functions PDF Author: J. L. Walsh
Publisher:
ISBN:
Category : Extremal problems (Mathematics)
Languages : en
Pages : 96

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Selected Papers

Selected Papers PDF Author: Joseph L. Walsh
Publisher: Springer Science & Business Media
ISBN: 9780387987828
Category : Mathematics
Languages : en
Pages : 734

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Book Description
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".

Technical Abstract Bulletin

Technical Abstract Bulletin PDF Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 760

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OAR Cumulative Index of Research Results

OAR Cumulative Index of Research Results PDF Author: United States. Air Force. Office of Aerospace Research
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 586

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Government-wide Index to Federal Research & Development Reports

Government-wide Index to Federal Research & Development Reports PDF Author:
Publisher:
ISBN:
Category : Government publications
Languages : en
Pages : 1080

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Interpolation and Approximation by Rational Functions in the Complex Domain

Interpolation and Approximation by Rational Functions in the Complex Domain PDF Author: J. L. Walsh
Publisher: American Mathematical Soc.
ISBN: 0821810200
Category : Mathematics
Languages : en
Pages : 418

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Book Description
The present work is restricted to the representation of functions in the complex domain, particularly analytic functions, by sequences of polynomials or of more general rational functions whose poles are preassigned, the sequences being defined either by interpolation or by extremal properties (i.e. best approximation). Taylor's series plays a central role in this entire study, for it has properties of both interpolation and best approximation, and serves as a guide throughout the whole treatise. Indeed, almost every result given on the representation of functions is concerned with a generalization either of Taylor's series or of some property of Taylor's series--the title ``Generalizations of Taylor's Series'' would be appropriate.

 PDF Author:
Publisher: Springer Nature
ISBN: 3031651332
Category :
Languages : en
Pages : 598

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Handbook of Complex Analysis

Handbook of Complex Analysis PDF Author: Reiner Kuhnau
Publisher: Elsevier
ISBN: 0080495176
Category : Mathematics
Languages : en
Pages : 876

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Book Description
Geometric Function Theory is that part of Complex Analysis which covers the theory of conformal and quasiconformal mappings. Beginning with the classical Riemann mapping theorem, there is a lot of existence theorems for canonical conformal mappings. On the other side there is an extensive theory of qualitative properties of conformal and quasiconformal mappings, concerning mainly a prior estimates, so called distortion theorems (including the Bieberbach conjecture with the proof of the Branges). Here a starting point was the classical Scharz lemma, and then Koebe's distortion theorem. There are several connections to mathematical physics, because of the relations to potential theory (in the plane). The Handbook of Geometric Function Theory contains also an article about constructive methods and further a Bibliography including applications eg: to electroxtatic problems, heat conduction, potential flows (in the plane). · A collection of independent survey articles in the field of GeometricFunction Theory · Existence theorems and qualitative properties of conformal and quasiconformal mappings · A bibliography, including many hints to applications in electrostatics, heat conduction, potential flows (in the plane).

Transactions of the American Mathematical Society

Transactions of the American Mathematical Society PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 896

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Complex Analysis and Dynamical Systems III

Complex Analysis and Dynamical Systems III PDF Author: Mark Lʹvovich Agranovskiĭ
Publisher: American Mathematical Soc.
ISBN: 0821841505
Category : Mathematics
Languages : en
Pages : 482

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Book Description
The papers in this volume cover a wide variety of topics in the geometric theory of functions of one and several complex variables, including univalent functions, conformal and quasiconformal mappings, minimal surfaces, and dynamics in infinite-dimensional spaces. In addition, there are several articles dealing with various aspects of approximation theory and partial differential equations. Taken together, the articles collected here provide the reader with a panorama of activity in complex analysis, drawn by a number of leading figures in the field.