Selected papers:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
2000
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturangaben |
| Beschreibung: | XLIV, 682 S. Ill. : 24 cm |
| ISBN: | 0387987827 |
Internformat
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| 245 | 1 | 0 | |a Selected papers |c Joseph L. Walsh. Theodore J. Rivlin ... ed. |
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| 700 | 1 | |a Rivlin, Theodore J. |e Sonstige |4 oth | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-008962151 | |
Datensatz im Suchindex
| _version_ | 1811011472727212032 |
|---|---|
| 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 |
| any_adam_object | 1 |
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| dewey-raw | 150 |
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| dewey-sort | 3150 |
| dewey-tens | 150 - Psychology |
| discipline | Psychologie Mathematik |
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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 |
| url | 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 |
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