Rational approximations and orthogonality:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Math. Society
1991
|
| Schriftenreihe: | Translations of mathematical monographs
92 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Aus d. Russ. übers. |
| Beschreibung: | VIII, 221 S. |
| ISBN: | 0821845454 |
Internformat
MARC
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| 100 | 1 | |a Nikišin, Evgenij M. |e Verfasser |4 aut | |
| 240 | 1 | 0 | |a Racional'nye approksimacii i ortogonal'nost' |
| 245 | 1 | 0 | |a Rational approximations and orthogonality |c E. M. Nikishin ; V. N. Sorokin |
| 264 | 1 | |a Providence, RI |b American Math. Society |c 1991 | |
| 300 | |a VIII, 221 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Translations of mathematical monographs |v 92 | |
| 500 | |a Aus d. Russ. übers. | ||
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Datensatz im Suchindex
| _version_ | 1804118886044401664 |
|---|---|
| adam_text | Contents
Chapter 1. Rational Approximation of Numbers 1
§ 1. Metrics on a field of rational numbers 1
§2. The continued fraction of a real number 5
§3. Rational approximations to algebraic numbers 14
§4. Polynomials in several variables 21
§5. Roth s theorem 30
Chapter 2. Pade Approximants and Orthogonal Polynomials 37
§1. Formal power series 37
§2. Pade approximants for e1 40
§3. Pade approximants at infinity 43
§4. Continued fractions and Pade approximants 46
§5. Orthogonal polynomials 49
§6. Markov s theorem 59
§7. The moment problem and extremal properties of orthogonal
polynomials 65
§8. Orthogonal polynomials and operator theory 74
§9. Some theorems on the spectra of operators 83
§10. Finite and semi infinite Toda and Langmuir lattices 88
Chapter 3. Asymptotic Properties of Orthogonal Polynomials 95
§1. Polynomials orthogonal on the circle 95
§2. An extremal problem and the Szego condition 98
§3. Boundary values of analytic functions 104
§4. Outer and inner functions 114
§5. Szego s asymptotic formula for z 1 117
§6. Asymptotic formula on the circle 122
Chapter 4. Simultaneous Pade Approximants 125
§1. The general Pade table 125
§2. Hermite integrals 128
§3. Polyorthogonal polynomials 132
§4. Chebyshev systems 137
§5. The Jacobi Perron algorithm 143
V
vi CONTENTS
§6. The Darboux method 150
Chapter 5. Potential Theory 163
§1. The logarithmic potential 163
§2. Energy of a charge 168
§3. Capacity of a compact set 175
§4. Extremal problems of potential theory 177
§5. The Green function 188
§6. Angelesco systems 196
§7. A/T systems 202
References 211
Subject Index 219
|
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| author | Nikišin, Evgenij M. Sorokin, Vladimir N. |
| author_facet | Nikišin, Evgenij M. Sorokin, Vladimir N. |
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| author_sort | Nikišin, Evgenij M. |
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| building | Verbundindex |
| bvnumber | BV004767353 |
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| ctrlnum | (OCoLC)246828793 (DE-599)BVBBV004767353 |
| discipline | Mathematik |
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| id | DE-604.BV004767353 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:17:25Z |
| institution | BVB |
| isbn | 0821845454 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002935109 |
| oclc_num | 246828793 |
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| physical | VIII, 221 S. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | American Math. Society |
| record_format | marc |
| series | Translations of mathematical monographs |
| series2 | Translations of mathematical monographs |
| spelling | Nikišin, Evgenij M. Verfasser aut Racional'nye approksimacii i ortogonal'nost' Rational approximations and orthogonality E. M. Nikishin ; V. N. Sorokin Providence, RI American Math. Society 1991 VIII, 221 S. txt rdacontent n rdamedia nc rdacarrier Translations of mathematical monographs 92 Aus d. Russ. übers. Analytische Funktion (DE-588)4142348-3 gnd rswk-swf Approximationstheorie (DE-588)4120913-8 gnd rswk-swf Orthogonale Polynome (DE-588)4172863-4 gnd rswk-swf Rationale Approximation (DE-588)4135759-0 gnd rswk-swf Analytische Funktion (DE-588)4142348-3 s Rationale Approximation (DE-588)4135759-0 s DE-604 Approximationstheorie (DE-588)4120913-8 s Orthogonale Polynome (DE-588)4172863-4 s Sorokin, Vladimir N. Verfasser aut Translations of mathematical monographs 92 (DE-604)BV000002394 92 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002935109&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Nikišin, Evgenij M. Sorokin, Vladimir N. Rational approximations and orthogonality Translations of mathematical monographs Analytische Funktion (DE-588)4142348-3 gnd Approximationstheorie (DE-588)4120913-8 gnd Orthogonale Polynome (DE-588)4172863-4 gnd Rationale Approximation (DE-588)4135759-0 gnd |
| subject_GND | (DE-588)4142348-3 (DE-588)4120913-8 (DE-588)4172863-4 (DE-588)4135759-0 |
| title | Rational approximations and orthogonality |
| title_alt | Racional'nye approksimacii i ortogonal'nost' |
| title_auth | Rational approximations and orthogonality |
| title_exact_search | Rational approximations and orthogonality |
| title_full | Rational approximations and orthogonality E. M. Nikishin ; V. N. Sorokin |
| title_fullStr | Rational approximations and orthogonality E. M. Nikishin ; V. N. Sorokin |
| title_full_unstemmed | Rational approximations and orthogonality E. M. Nikishin ; V. N. Sorokin |
| title_short | Rational approximations and orthogonality |
| title_sort | rational approximations and orthogonality |
| topic | Analytische Funktion (DE-588)4142348-3 gnd Approximationstheorie (DE-588)4120913-8 gnd Orthogonale Polynome (DE-588)4172863-4 gnd Rationale Approximation (DE-588)4135759-0 gnd |
| topic_facet | Analytische Funktion Approximationstheorie Orthogonale Polynome Rationale Approximation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002935109&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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