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Main Author:	Walsh, Joseph L. 1895-1973 (Author)
Format:	Book
Language:	English
Published:	New York [u.a.] Springer 2000
Subjects:	Walsh, Joseph L. > 1895-1973 Approximation, Théorie de l' Polynômes Approximation theory Polynomials Approximation Bibliografie Polynom Aufsatzsammlung
Online Access:	Inhaltsverzeichnis
Item Description:	Literaturangaben
Physical Description:	XLIV, 682 S. Ill. : 24 cm
ISBN:	0387987827

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MARC


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Record in the Search Index

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adam_text	Contents Preface v Bibliography of the Papers of Joseph L. Walsh xi Books by Joseph L. Walsh xxvii Joseph L. Walsh’s Ph.D. Students wii Remarks on the Mathematical Researches of Joseph L. Walsh W.E. Sewell.xxxi Joseph Leonard Walsh D.V. Widder.xxxvi Joseph L. Walsh in Memoriam Morris Marden.xxxix 1 Zeros and Critical Points of Polynomials and Rational Functions 1 [18] On the location of the roots of the Jacobian of two binary forms and of the derivative of a rational function. 3 [21-a] On the location of the roots of the derivative of a polynomial . 11 [21-b] On the location of the roots of the Jacobian of two binary forms and of the derivative of a rational function. 15 [20-c] On the location of the roots of the derivative of a polynomial . 31 [33-1] Note on the location of the roots of the derivative of a polynomial. 48 viii Contents [22-g] On the location of the roots of certain types of polynomials . . 54 [64-e] A Theorem of Grace on the zeros of polynomials, revisited . . 72 [64-j] The location of the zeros of the derivative of a rational function, revisited. 79 [24-h] An inequality for the roots of an algebraic equation. 97 Commentary by Q.I. Rahman. 99 Comments on [ 18], [21 -a], and [21 -b]. 99 Comments on [20-c] and [33-i]. 100 Comments on [22-g]. 102 Editors’ Note. 104 Comments on [64-e], [64-j]. 105 Comments on [24-h]. 106 2 Walsh Functions 107 [23-b] A closed set of normal orthogonal functions. 109 Commentary by F. Schipp. 129 Introduction. 129 The Walsh System. 130 The Impact of Walsh Functions on Modem Mathematics . . 131 Probability Theory. 131 Harmonic Analysis . 132 Functional Analysis. 132 Generalizations . 132 Technical Applications . 133 Commentary by T. J. Rivlin. 135 3 Qualitative Approximation 139 [26-b] Über die Entwicklung einer analytischen Funktion nach Polynomen. 141 [26-c] Über die Entwicklung einer Funktion einer komlexen Veränderlichen nach Polynomen . 148 [28-a] On the expansion of analytic functions in series of polynomials and in series of polynomials and in series of other analytic functions. 162 [28-d] Über die Entwicklung einer harmonischen Funktion nach harmonischen Polynomen. 188 [29-b] The approximation of harmonic functions by harmonic polynomials and by harmonic rational functions. 201 Commentary by P.M. Gauthier. 247 4 Conformal Mapping 255 [37-d] On the shape of level curves of Green’s function. 257 [38-a] Note on the curvature of orthogonal trajectories of level curves of Green’s functions. 269 Contents ix [39-d] On the circles of curvature of the images of circles trader a conformal map. 273 [40-a] Note on the curvature of the orthogonal trajectories of level curves of Green’s functions. 287 [70-a] On the shape of the level loci of harmonic measure. 295 [55-a] (With D. Gaier) Zur Methode der variablen Gebiete bei der Randverserrung. 315 [56-b] (With L. Rosenfeld) On the boundary behavior of a conformal map . 325 [56-d] On the conformal mapping of multiply connected regions . . . 350 Commentary Dieter Gaier. 369 Topic I: Geometry of level curves and related topics. 370 1.1. Domains convex in one direction. 370 1.2. Length and area problems. 371 1.3. On the geometry of lemniscates. 371 Topic II: Conformal mapping near the boundary. 372 II. 1. Conformal mapping of strip domains . 372 II.2. Holder continuity of the mapping function. 374 Topic III: Conformal mapping of multiply connected domains . 374 IE. 1. Walsh’s new canonical map. 375 IU.2. New approaches to Walsh’s theorem. 375 111.3. General canonical domains. 376 5 Polynomial Approximation 381 [32-c] On polynomial interpolation to analytic functions with singularities. 383 [37-g] (With W.E. Sewell) Note on the relation between continuity and degree of polynomial approximation in the complex domain. 389 [38-d] (With W.E. Sewell) Note on degree of trigonometric and polynomial approximation to an analytic function. 396 [53-c] (With T.S. Motzkin) On the derivative of a polynomial and Chebyshev approximation. 405 [73-a] (With T.S. Motzkin) Equilibrium of inverse-distance forces in three-dimensions. 417 [34-c] Note on the orthogonality of Tchebycheff polynomials on confocal ellipses. 427 [42-a] Note on the coefficients of overconvergent power series . 432 [51-c] Note on approximation by bounded analytic functions. 436 [68-e] Approximation by bounded analytic functions: Uniform convergence as implied by mean convergence . 442 [73-c] History of the Riemann mapping theorem. 450 Commentary by T. J. Rivlin. 457 Comments on [32-c]. 457 Comments on [37-g] and [38-d] . 457 x Contents Comments on [53-c] and [73-a]. 461 Comments on [34-c]. 461 Comments on [42-a]. 462 Comments on [51-c]. 462 Comments on [73-c]. 462 6 Rational Approximation 465 [31-c] On the overconvergence of certain sequences of rational functions of best approximation. 467 [34-b] On approximation to an analytic function by rational functions of best approximation. 492 [40-b] On the degree of convergence of sequences of rational functions. 506 [46-c] Overconvergence, degree of convergence, and zeros of sequences of anaVytk. functions. 545 [64-a] Pade approximants as limits of rational functions of best approximation. 585 [65-i] The convergence of sequences of rational functions of best approximation with some free poles. 593 [67-c] An extension of the generalized Bernstein lemma. 609 [68-a] Degree of approximation by rational functions and polynomials. 611 [71-b] (With Dov Aharonov) Some examples in degree of approximation by rational functions. 613 Commentary by E. B. Saff. 631 Comments on [31-c]. 631 Comments on [34-b]. 632 Comments on [40-b]. 633 Comments on [46-c]. 635 Comments on [64-a]. 636 Comments on [65-i]. 636 Comments on [67-c]. 638 Comments on [68-a]. 638 Comments on [71-b]. 639 7 Spline Functions 641 [65-b] (With J.H. Ahlberg and E.N. Nilson) Fundamental properties of generalized splines. 643 [67-d] (With J.H. Ahlberg and E.N. Nilson) Complex cubic splines . 651 [68-f] (With J.H. Ahlberg and E.N. Nilson) Cubic splines on the real line. 674 Commentary by Walter Schempp. 680
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spelling	Walsh, Joseph L. 1895-1973 Verfasser (DE-588)121999017 aut Sammlung Selected papers Joseph L. Walsh. Theodore J. Rivlin ... ed. New York [u.a.] Springer 2000 XLIV, 682 S. Ill. : 24 cm txt rdacontent n rdamedia nc rdacarrier Literaturangaben Text teilw. dt., teilw. engl. Walsh, Joseph L. 1895-1973 (DE-588)121999017 gnd rswk-swf Approximation, Théorie de l' ram Polynômes ram Approximation theory Polynomials Approximation (DE-588)4002498-2 gnd rswk-swf Bibliografie (DE-588)4006432-3 gnd rswk-swf Polynom (DE-588)4046711-9 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Polynom (DE-588)4046711-9 s DE-604 Approximation (DE-588)4002498-2 s Walsh, Joseph L. 1895-1973 (DE-588)121999017 p Bibliografie (DE-588)4006432-3 s Rivlin, Theodore J. Sonstige oth KOBV Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008962151&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Walsh, Joseph L. 1895-1973 Selected papers Walsh, Joseph L. 1895-1973 (DE-588)121999017 gnd Approximation, Théorie de l' ram Polynômes ram Approximation theory Polynomials Approximation (DE-588)4002498-2 gnd Bibliografie (DE-588)4006432-3 gnd Polynom (DE-588)4046711-9 gnd
subject_GND	(DE-588)121999017 (DE-588)4002498-2 (DE-588)4006432-3 (DE-588)4046711-9 (DE-588)4143413-4
title	Selected papers
title_auth	Selected papers
title_exact_search	Selected papers
title_full	Selected papers Joseph L. Walsh. Theodore J. Rivlin ... ed.
title_fullStr	Selected papers Joseph L. Walsh. Theodore J. Rivlin ... ed.
title_full_unstemmed	Selected papers Joseph L. Walsh. Theodore J. Rivlin ... ed.
title_short	Selected papers
title_sort	selected papers
topic	Walsh, Joseph L. 1895-1973 (DE-588)121999017 gnd Approximation, Théorie de l' ram Polynômes ram Approximation theory Polynomials Approximation (DE-588)4002498-2 gnd Bibliografie (DE-588)4006432-3 gnd Polynom (DE-588)4046711-9 gnd
topic_facet	Walsh, Joseph L. 1895-1973 Approximation, Théorie de l' Polynômes Approximation theory Polynomials Approximation Bibliografie Polynom Aufsatzsammlung
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