Harmonic Function Theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
2001
|
| Ausgabe: | Second Edition |
| Schriftenreihe: | Graduate Texts in Mathematics
137 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This is a book about harmonic functions in Euclidean space. Readers with a background in real and complex analysis at the beginning graduate level will feel comfortable with the material presented here. The authors have taken unusual care to motivate concepts and simplify proofs. Topics include: basic properties of harmonic functions, Poisson integrals, the Kelvin transform, spherical harmonics, harmonic Hardy spaces, harmonic Bergman spaces, the decomposition theorem, Laurent expansions, isolated singularities, and the Dirichlet problem. The new edition contains a completely rewritten chapter on spherical harmonics, a new section on extensions of Bocher's Theorem, new exercises and proofs, as well as revisions throughout to improve the text. A unique software package-designed by the authors and available by e-mail - supplements the text for readers who wish to explore harmonic function theory on a computer |
| Beschreibung: | 1 Online-Ressource (XII, 264 p) |
| ISBN: | 9781475781373 9781441929112 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4757-8137-3 |
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Datensatz im Suchindex
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| ctrlnum | (OCoLC)1165601268 (DE-599)BVBBV042421718 |
| dewey-full | 515.96 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.96 |
| dewey-search | 515.96 |
| dewey-sort | 3515.96 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4757-8137-3 |
| edition | Second Edition |
| format | Electronic eBook |
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| id | DE-604.BV042421718 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:09Z |
| institution | BVB |
| isbn | 9781475781373 9781441929112 |
| issn | 0072-5285 |
| language | English |
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| physical | 1 Online-Ressource (XII, 264 p) |
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| publisher | Springer New York |
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| series2 | Graduate Texts in Mathematics |
| spelling | Axler, Sheldon Verfasser aut Harmonic Function Theory by Sheldon Axler, Paul Bourdon, Wade Ramey Second Edition New York, NY Springer New York 2001 1 Online-Ressource (XII, 264 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 137 0072-5285 This is a book about harmonic functions in Euclidean space. Readers with a background in real and complex analysis at the beginning graduate level will feel comfortable with the material presented here. The authors have taken unusual care to motivate concepts and simplify proofs. Topics include: basic properties of harmonic functions, Poisson integrals, the Kelvin transform, spherical harmonics, harmonic Hardy spaces, harmonic Bergman spaces, the decomposition theorem, Laurent expansions, isolated singularities, and the Dirichlet problem. The new edition contains a completely rewritten chapter on spherical harmonics, a new section on extensions of Bocher's Theorem, new exercises and proofs, as well as revisions throughout to improve the text. A unique software package-designed by the authors and available by e-mail - supplements the text for readers who wish to explore harmonic function theory on a computer Mathematics Potential theory (Mathematics) Potential Theory Mathematik Harmonische Funktion (DE-588)4159122-7 gnd rswk-swf Harmonische Funktion (DE-588)4159122-7 s 1\p DE-604 Bourdon, Paul Sonstige oth Ramey, Wade Sonstige oth https://doi.org/10.1007/978-1-4757-8137-3 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Axler, Sheldon Harmonic Function Theory Mathematics Potential theory (Mathematics) Potential Theory Mathematik Harmonische Funktion (DE-588)4159122-7 gnd |
| subject_GND | (DE-588)4159122-7 |
| title | Harmonic Function Theory |
| title_auth | Harmonic Function Theory |
| title_exact_search | Harmonic Function Theory |
| title_full | Harmonic Function Theory by Sheldon Axler, Paul Bourdon, Wade Ramey |
| title_fullStr | Harmonic Function Theory by Sheldon Axler, Paul Bourdon, Wade Ramey |
| title_full_unstemmed | Harmonic Function Theory by Sheldon Axler, Paul Bourdon, Wade Ramey |
| title_short | Harmonic Function Theory |
| title_sort | harmonic function theory |
| topic | Mathematics Potential theory (Mathematics) Potential Theory Mathematik Harmonische Funktion (DE-588)4159122-7 gnd |
| topic_facet | Mathematics Potential theory (Mathematics) Potential Theory Mathematik Harmonische Funktion |
| url | https://doi.org/10.1007/978-1-4757-8137-3 |
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