Harmonic Function Theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
2001
|
| Edition: | Second Edition |
| Series: | Graduate Texts in Mathematics
137 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | 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 |
| Physical Description: | 1 Online-Ressource (XII, 264 p) |
| ISBN: | 9781475781373 9781441929112 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4757-8137-3 |
Staff View
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV042421718 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150317s2001 |||| o||u| ||||||eng d | ||
| 020 | |a 9781475781373 |c Online |9 978-1-4757-8137-3 | ||
| 020 | |a 9781441929112 |c Print |9 978-1-4419-2911-2 | ||
| 024 | 7 | |a 10.1007/978-1-4757-8137-3 |2 doi | |
| 035 | |a (OCoLC)1165601268 | ||
| 035 | |a (DE-599)BVBBV042421718 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-703 |a DE-91 |a DE-634 | ||
| 082 | 0 | |a 515.96 |2 23 | |
| 084 | |a MAT 000 |2 stub | ||
| 100 | 1 | |a Axler, Sheldon |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Harmonic Function Theory |c by Sheldon Axler, Paul Bourdon, Wade Ramey |
| 250 | |a Second Edition | ||
| 264 | 1 | |a New York, NY |b Springer New York |c 2001 | |
| 300 | |a 1 Online-Ressource (XII, 264 p) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Graduate Texts in Mathematics |v 137 |x 0072-5285 | |
| 500 | |a 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 | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Potential theory (Mathematics) | |
| 650 | 4 | |a Potential Theory | |
| 650 | 4 | |a Mathematik | |
| 650 | 0 | 7 | |a Harmonische Funktion |0 (DE-588)4159122-7 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Harmonische Funktion |0 (DE-588)4159122-7 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Bourdon, Paul |e Sonstige |4 oth | |
| 700 | 1 | |a Ramey, Wade |e Sonstige |4 oth | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-1-4757-8137-3 |x Verlag |3 Volltext |
| 912 | |a ZDB-2-SMA |a ZDB-2-BAE | ||
| 940 | 1 | |q ZDB-2-SMA_Archive | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027857135 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Record in the Search Index
| _version_ | 1804153095106592768 |
|---|---|
| any_adam_object | |
| author | Axler, Sheldon |
| author_facet | Axler, Sheldon |
| author_role | aut |
| author_sort | Axler, Sheldon |
| author_variant | s a sa |
| building | Verbundindex |
| bvnumber | BV042421718 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| 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 |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02590nmm a2200493zcb4500</leader><controlfield tag="001">BV042421718</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s2001 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781475781373</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-4757-8137-3</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781441929112</subfield><subfield code="c">Print</subfield><subfield code="9">978-1-4419-2911-2</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-1-4757-8137-3</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1165601268</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042421718</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.96</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Axler, Sheldon</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Harmonic Function Theory</subfield><subfield code="c">by Sheldon Axler, Paul Bourdon, Wade Ramey</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Second Edition</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York, NY</subfield><subfield code="b">Springer New York</subfield><subfield code="c">2001</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XII, 264 p)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Graduate Texts in Mathematics</subfield><subfield code="v">137</subfield><subfield code="x">0072-5285</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">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</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Potential theory (Mathematics)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Potential Theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Harmonische Funktion</subfield><subfield code="0">(DE-588)4159122-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Harmonische Funktion</subfield><subfield code="0">(DE-588)4159122-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Bourdon, Paul</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Ramey, Wade</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-1-4757-8137-3</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield><subfield code="a">ZDB-2-BAE</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_Archive</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027857135</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| id | DE-604.BV042421718 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:09Z |
| institution | BVB |
| isbn | 9781475781373 9781441929112 |
| issn | 0072-5285 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027857135 |
| oclc_num | 1165601268 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (XII, 264 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Springer New York |
| record_format | marc |
| 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 |
| work_keys_str_mv | AT axlersheldon harmonicfunctiontheory AT bourdonpaul harmonicfunctiontheory AT rameywade harmonicfunctiontheory |