Reproducing Kernel Spaces and Applications:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
2003
|
| Schriftenreihe: | Operator Theory: Advances and Applications
143 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 20. Pattern recognition and statistical learning theory (the theory of support vector machines). See [40], [58]. In this last volume we refer in particular to the papers [63] and [64]. Since this topic is maybe less known to the operator theory community we mention that the support vector method is a general approach to function estimation problems. See [63, p. 26]. We note that the above list and the given references are by no way exhaustive. We refer to the first section of the paper of S. Saitoh in the present volume for another (and mainly different) list of topics where reproducing kernel spaces appear. Quite often a given question is best understood in a reproducing kernel Hilbert space (for instance when using Cauchy's formula in the Hardy space H ) 2 and one finds oneself as Mr Jourdain of Moliere' Bourgeois Gentilhomme speaking Prose without knowing it [48, p. 51]: Par ma foil il y a plus de quarante ans que je dis de la prose sans que l j'en susse rien |
| Beschreibung: | 1 Online-Ressource (XV, 344 p) |
| ISBN: | 9783034880770 9783034894302 |
| DOI: | 10.1007/978-3-0348-8077-0 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV042422032 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150317s2003 |||| o||u| ||||||eng d | ||
| 020 | |a 9783034880770 |c Online |9 978-3-0348-8077-0 | ||
| 020 | |a 9783034894302 |c Print |9 978-3-0348-9430-2 | ||
| 024 | 7 | |a 10.1007/978-3-0348-8077-0 |2 doi | |
| 035 | |a (OCoLC)1184432234 | ||
| 035 | |a (DE-599)BVBBV042422032 | ||
| 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 515.724 |2 23 | |
| 084 | |a MAT 000 |2 stub | ||
| 100 | 1 | |a Alpay, Daniel |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Reproducing Kernel Spaces and Applications |c edited by Daniel Alpay |
| 264 | 1 | |a Basel |b Birkhäuser Basel |c 2003 | |
| 300 | |a 1 Online-Ressource (XV, 344 p) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Operator Theory: Advances and Applications |v 143 | |
| 500 | |a 20. Pattern recognition and statistical learning theory (the theory of support vector machines). See [40], [58]. In this last volume we refer in particular to the papers [63] and [64]. Since this topic is maybe less known to the operator theory community we mention that the support vector method is a general approach to function estimation problems. See [63, p. 26]. We note that the above list and the given references are by no way exhaustive. We refer to the first section of the paper of S. Saitoh in the present volume for another (and mainly different) list of topics where reproducing kernel spaces appear. Quite often a given question is best understood in a reproducing kernel Hilbert space (for instance when using Cauchy's formula in the Hardy space H ) 2 and one finds oneself as Mr Jourdain of Moliere' Bourgeois Gentilhomme speaking Prose without knowing it [48, p. 51]: Par ma foil il y a plus de quarante ans que je dis de la prose sans que l j'en susse rien | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Functional analysis | |
| 650 | 4 | |a Functions of complex variables | |
| 650 | 4 | |a Integral Transforms | |
| 650 | 4 | |a Operator theory | |
| 650 | 4 | |a Differential equations, partial | |
| 650 | 4 | |a Operator Theory | |
| 650 | 4 | |a Functional Analysis | |
| 650 | 4 | |a Functions of a Complex Variable | |
| 650 | 4 | |a Integral Transforms, Operational Calculus | |
| 650 | 4 | |a Partial Differential Equations | |
| 650 | 4 | |a Mathematik | |
| 650 | 0 | 7 | |a Kernfunktion |0 (DE-588)4163607-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Hilbert-Raum |0 (DE-588)4159850-7 |2 gnd |9 rswk-swf |
| 655 | 7 | |8 1\p |0 (DE-588)4143413-4 |a Aufsatzsammlung |2 gnd-content | |
| 689 | 0 | 0 | |a Hilbert-Raum |0 (DE-588)4159850-7 |D s |
| 689 | 0 | 1 | |a Kernfunktion |0 (DE-588)4163607-7 |D s |
| 689 | 0 | |8 2\p |5 DE-604 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-0348-8077-0 |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:BVB01-027857449 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804153095865761792 |
|---|---|
| any_adam_object | |
| author | Alpay, Daniel |
| author_facet | Alpay, Daniel |
| author_role | aut |
| author_sort | Alpay, Daniel |
| author_variant | d a da |
| building | Verbundindex |
| bvnumber | BV042422032 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)1184432234 (DE-599)BVBBV042422032 |
| dewey-full | 515.724 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.724 |
| dewey-search | 515.724 |
| dewey-sort | 3515.724 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-0348-8077-0 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03112nmm a2200601zcb4500</leader><controlfield tag="001">BV042422032</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s2003 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783034880770</subfield><subfield code="c">Online</subfield><subfield code="9">978-3-0348-8077-0</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783034894302</subfield><subfield code="c">Print</subfield><subfield code="9">978-3-0348-9430-2</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-0348-8077-0</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1184432234</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042422032</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">515.724</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">Alpay, Daniel</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Reproducing Kernel Spaces and Applications</subfield><subfield code="c">edited by Daniel Alpay</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Basel</subfield><subfield code="b">Birkhäuser Basel</subfield><subfield code="c">2003</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XV, 344 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">Operator Theory: Advances and Applications</subfield><subfield code="v">143</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">20. Pattern recognition and statistical learning theory (the theory of support vector machines). See [40], [58]. In this last volume we refer in particular to the papers [63] and [64]. Since this topic is maybe less known to the operator theory community we mention that the support vector method is a general approach to function estimation problems. See [63, p. 26]. We note that the above list and the given references are by no way exhaustive. We refer to the first section of the paper of S. Saitoh in the present volume for another (and mainly different) list of topics where reproducing kernel spaces appear. Quite often a given question is best understood in a reproducing kernel Hilbert space (for instance when using Cauchy's formula in the Hardy space H ) 2 and one finds oneself as Mr Jourdain of Moliere' Bourgeois Gentilhomme speaking Prose without knowing it [48, p. 51]: Par ma foil il y a plus de quarante ans que je dis de la prose sans que l j'en susse rien</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functional analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functions of complex variables</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Integral Transforms</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Operator theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential equations, partial</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Operator Theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functional Analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functions of a Complex Variable</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Integral Transforms, Operational Calculus</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Partial Differential Equations</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kernfunktion</subfield><subfield code="0">(DE-588)4163607-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Hilbert-Raum</subfield><subfield code="0">(DE-588)4159850-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="8">1\p</subfield><subfield code="0">(DE-588)4143413-4</subfield><subfield code="a">Aufsatzsammlung</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Hilbert-Raum</subfield><subfield code="0">(DE-588)4159850-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Kernfunktion</subfield><subfield code="0">(DE-588)4163607-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-3-0348-8077-0</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:BVB01-027857449</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><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\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> |
| genre | 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content |
| genre_facet | Aufsatzsammlung |
| id | DE-604.BV042422032 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:10Z |
| institution | BVB |
| isbn | 9783034880770 9783034894302 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027857449 |
| oclc_num | 1184432234 |
| 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 (XV, 344 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Birkhäuser Basel |
| record_format | marc |
| series2 | Operator Theory: Advances and Applications |
| spelling | Alpay, Daniel Verfasser aut Reproducing Kernel Spaces and Applications edited by Daniel Alpay Basel Birkhäuser Basel 2003 1 Online-Ressource (XV, 344 p) txt rdacontent c rdamedia cr rdacarrier Operator Theory: Advances and Applications 143 20. Pattern recognition and statistical learning theory (the theory of support vector machines). See [40], [58]. In this last volume we refer in particular to the papers [63] and [64]. Since this topic is maybe less known to the operator theory community we mention that the support vector method is a general approach to function estimation problems. See [63, p. 26]. We note that the above list and the given references are by no way exhaustive. We refer to the first section of the paper of S. Saitoh in the present volume for another (and mainly different) list of topics where reproducing kernel spaces appear. Quite often a given question is best understood in a reproducing kernel Hilbert space (for instance when using Cauchy's formula in the Hardy space H ) 2 and one finds oneself as Mr Jourdain of Moliere' Bourgeois Gentilhomme speaking Prose without knowing it [48, p. 51]: Par ma foil il y a plus de quarante ans que je dis de la prose sans que l j'en susse rien Mathematics Functional analysis Functions of complex variables Integral Transforms Operator theory Differential equations, partial Operator Theory Functional Analysis Functions of a Complex Variable Integral Transforms, Operational Calculus Partial Differential Equations Mathematik Kernfunktion (DE-588)4163607-7 gnd rswk-swf Hilbert-Raum (DE-588)4159850-7 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content Hilbert-Raum (DE-588)4159850-7 s Kernfunktion (DE-588)4163607-7 s 2\p DE-604 https://doi.org/10.1007/978-3-0348-8077-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Alpay, Daniel Reproducing Kernel Spaces and Applications Mathematics Functional analysis Functions of complex variables Integral Transforms Operator theory Differential equations, partial Operator Theory Functional Analysis Functions of a Complex Variable Integral Transforms, Operational Calculus Partial Differential Equations Mathematik Kernfunktion (DE-588)4163607-7 gnd Hilbert-Raum (DE-588)4159850-7 gnd |
| subject_GND | (DE-588)4163607-7 (DE-588)4159850-7 (DE-588)4143413-4 |
| title | Reproducing Kernel Spaces and Applications |
| title_auth | Reproducing Kernel Spaces and Applications |
| title_exact_search | Reproducing Kernel Spaces and Applications |
| title_full | Reproducing Kernel Spaces and Applications edited by Daniel Alpay |
| title_fullStr | Reproducing Kernel Spaces and Applications edited by Daniel Alpay |
| title_full_unstemmed | Reproducing Kernel Spaces and Applications edited by Daniel Alpay |
| title_short | Reproducing Kernel Spaces and Applications |
| title_sort | reproducing kernel spaces and applications |
| topic | Mathematics Functional analysis Functions of complex variables Integral Transforms Operator theory Differential equations, partial Operator Theory Functional Analysis Functions of a Complex Variable Integral Transforms, Operational Calculus Partial Differential Equations Mathematik Kernfunktion (DE-588)4163607-7 gnd Hilbert-Raum (DE-588)4159850-7 gnd |
| topic_facet | Mathematics Functional analysis Functions of complex variables Integral Transforms Operator theory Differential equations, partial Operator Theory Functional Analysis Functions of a Complex Variable Integral Transforms, Operational Calculus Partial Differential Equations Mathematik Kernfunktion Hilbert-Raum Aufsatzsammlung |
| url | https://doi.org/10.1007/978-3-0348-8077-0 |
| work_keys_str_mv | AT alpaydaniel reproducingkernelspacesandapplications |