Verfügbarkeit: The Sub-Laplacian operators of some model domains

The Sub-Laplacian operators of some model domains:

The book constructs explicitly the fundamental solution of the sub-Laplacian operator for a family of model domains in Cn+1. This type of domain is a good point-wise model for a Cauchy-Rieman (CR) manifold with diagonalizable Levi form. Qualitative results for such operators have been studied extens...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Hauptverfasser:	Chang, Der-Chen (VerfasserIn), Tie, Jingzhi (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Berlin ; Boston De Gruyter [2022]
Schriftenreihe:	Advances in analysis and geometry volume 7
Online-Zugang:	FAB01 FAW01 FCO01 FHA01 FHR01 FKE01 FLA01 TUM01 UBY01 UPA01 Volltext
Zusammenfassung:	The book constructs explicitly the fundamental solution of the sub-Laplacian operator for a family of model domains in Cn+1. This type of domain is a good point-wise model for a Cauchy-Rieman (CR) manifold with diagonalizable Levi form. Qualitative results for such operators have been studied extensively, but exact formulas are difficult to derive. Exact formulas are closely related to the underlying geometry and lead to equations of classical types such as hypergeometric equations and Whittaker’s equations.
Beschreibung:	1 Online-Ressource (XIV, 250 Seiten)
ISBN:	9783110642995 9783110643176
DOI:	10.1515/9783110642995

Internformat

MARC


LEADER	00000nmm a2200000zcb4500
001	BV048392065
003	DE-604
005	20230113
007	cr\|uuu---uuuuu
008	220804s2022 \|\|\|\| o\|\|u\| \|\|\|\|\|\|eng d
020			\|a 9783110642995 \|9 978-3-11-064299-5
020			\|a 9783110643176 \|9 978-3-11-064317-6
024	7		\|a 10.1515/9783110642995 \|2 doi
035			\|a (ZDB-23-DGG)9783110642995
035			\|a (OCoLC)1339067603
035			\|a (DE-599)BVBBV048392065
040			\|a DE-604 \|b ger \|e rda
041	0		\|a eng
049			\|a DE-1043 \|a DE-1046 \|a DE-858 \|a DE-Aug4 \|a DE-859 \|a DE-860 \|a DE-739 \|a DE-91 \|a DE-898 \|a DE-706
084			\|a SK 620 \|0 (DE-625)143249: \|2 rvk
084			\|a MAT 000 \|2 stub
100	1		\|a Chang, Der-Chen \|e Verfasser \|0 (DE-588)128990562 \|4 aut
245	1	0	\|a The Sub-Laplacian operators of some model domains \|c Der-Chen Chang and Jingzhi Tie
264		1	\|a Berlin ; Boston \|b De Gruyter \|c [2022]
264		4	\|c © 2022
300			\|a 1 Online-Ressource (XIV, 250 Seiten)
336			\|b txt \|2 rdacontent
337			\|b c \|2 rdamedia
338			\|b cr \|2 rdacarrier
490	1		\|a Advances in analysis and geometry \|v volume 7
520			\|a The book constructs explicitly the fundamental solution of the sub-Laplacian operator for a family of model domains in Cn+1. This type of domain is a good point-wise model for a Cauchy-Rieman (CR) manifold with diagonalizable Levi form. Qualitative results for such operators have been studied extensively, but exact formulas are difficult to derive. Exact formulas are closely related to the underlying geometry and lead to equations of classical types such as hypergeometric equations and Whittaker’s equations.
700	1		\|a Tie, Jingzhi \|e Verfasser \|4 aut
776	0	8	\|i Erscheint auch als \|n Druck-Ausgabe \|z 978-3-11-064210-0
830		0	\|a Advances in analysis and geometry \|v volume 7 \|w (DE-604)BV045516582 \|9 7
856	4	0	\|u https://doi.org/10.1515/9783110642995 \|x Verlag \|z URL des Erstveröffentlichers \|3 Volltext
912			\|a ZDB-23-DGG \|a ZDB-23-DMA
999			\|a oai:aleph.bib-bvb.de:BVB01-033770767
966	e		\|u https://doi.org/10.1515/9783110642995 \|l FAB01 \|p ZDB-23-DGG \|q FAB_PDA_DGG \|x Verlag \|3 Volltext
966	e		\|u https://doi.org/10.1515/9783110642995 \|l FAW01 \|p ZDB-23-DGG \|q FAW_PDA_DGG \|x Verlag \|3 Volltext
966	e		\|u https://doi.org/10.1515/9783110642995 \|l FCO01 \|p ZDB-23-DGG \|q FCO_PDA_DGG \|x Verlag \|3 Volltext
966	e		\|u https://doi.org/10.1515/9783110642995 \|l FHA01 \|p ZDB-23-DGG \|q FHA_PDA_DGG \|x Verlag \|3 Volltext
966	e		\|u https://doi.org/10.1515/9783110642995 \|l FHR01 \|p ZDB-23-DMA \|q ZDB-23-DMA22 \|x Verlag \|3 Volltext
966	e		\|u https://doi.org/10.1515/9783110642995 \|l FKE01 \|p ZDB-23-DGG \|q FKE_PDA_DGG \|x Verlag \|3 Volltext
966	e		\|u https://doi.org/10.1515/9783110642995 \|l FLA01 \|p ZDB-23-DGG \|q FLA_PDA_DGG \|x Verlag \|3 Volltext
966	e		\|u https://doi.org/10.1515/9783110642995 \|l TUM01 \|p ZDB-23-DMA \|q TUM_Paketkauf_2022 \|x Verlag \|3 Volltext
966	e		\|u https://doi.org/10.1515/9783110642995 \|l UBY01 \|p ZDB-23-DGG \|x Verlag \|3 Volltext
966	e		\|u https://doi.org/10.1515/9783110642995 \|l UPA01 \|p ZDB-23-DGG \|q UPA_PDA_DGG \|x Verlag \|3 Volltext

Datensatz im Suchindex

_version_	1804184280721522688
adam_txt
any_adam_object
any_adam_object_boolean
author	Chang, Der-Chen Tie, Jingzhi
author_GND	(DE-588)128990562
author_facet	Chang, Der-Chen Tie, Jingzhi
author_role	aut aut
author_sort	Chang, Der-Chen
author_variant	d c c dcc j t jt
building	Verbundindex
bvnumber	BV048392065
classification_rvk	SK 620
classification_tum	MAT 000
collection	ZDB-23-DGG ZDB-23-DMA
ctrlnum	(ZDB-23-DGG)9783110642995 (OCoLC)1339067603 (DE-599)BVBBV048392065
discipline	Mathematik
discipline_str_mv	Mathematik
doi_str_mv	10.1515/9783110642995
format	Electronic eBook
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03068nmm a2200529zcb4500</leader><controlfield tag="001">BV048392065</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20230113 </controlfield><controlfield tag="007">cr\|uuu---uuuuu</controlfield><controlfield tag="008">220804s2022 \|\|\|\| o\|\|u\| \|\|\|\|\|\|eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783110642995</subfield><subfield code="9">978-3-11-064299-5</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783110643176</subfield><subfield code="9">978-3-11-064317-6</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9783110642995</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-23-DGG)9783110642995</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1339067603</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV048392065</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-1043</subfield><subfield code="a">DE-1046</subfield><subfield code="a">DE-858</subfield><subfield code="a">DE-Aug4</subfield><subfield code="a">DE-859</subfield><subfield code="a">DE-860</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-898</subfield><subfield code="a">DE-706</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 620</subfield><subfield code="0">(DE-625)143249:</subfield><subfield code="2">rvk</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">Chang, Der-Chen</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)128990562</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The Sub-Laplacian operators of some model domains</subfield><subfield code="c">Der-Chen Chang and Jingzhi Tie</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin ; Boston</subfield><subfield code="b">De Gruyter</subfield><subfield code="c">[2022]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 2022</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XIV, 250 Seiten)</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="1" ind2=" "><subfield code="a">Advances in analysis and geometry</subfield><subfield code="v">volume 7</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">The book constructs explicitly the fundamental solution of the sub-Laplacian operator for a family of model domains in Cn+1. This type of domain is a good point-wise model for a Cauchy-Rieman (CR) manifold with diagonalizable Levi form. Qualitative results for such operators have been studied extensively, but exact formulas are difficult to derive. Exact formulas are closely related to the underlying geometry and lead to equations of classical types such as hypergeometric equations and Whittaker’s equations.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Tie, Jingzhi</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">978-3-11-064210-0</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Advances in analysis and geometry</subfield><subfield code="v">volume 7</subfield><subfield code="w">(DE-604)BV045516582</subfield><subfield code="9">7</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/9783110642995</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-DGG</subfield><subfield code="a">ZDB-23-DMA</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-033770767</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9783110642995</subfield><subfield code="l">FAB01</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FAB_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9783110642995</subfield><subfield code="l">FAW01</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FAW_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9783110642995</subfield><subfield code="l">FCO01</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FCO_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9783110642995</subfield><subfield code="l">FHA01</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FHA_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9783110642995</subfield><subfield code="l">FHR01</subfield><subfield code="p">ZDB-23-DMA</subfield><subfield code="q">ZDB-23-DMA22</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9783110642995</subfield><subfield code="l">FKE01</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FKE_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9783110642995</subfield><subfield code="l">FLA01</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FLA_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9783110642995</subfield><subfield code="l">TUM01</subfield><subfield code="p">ZDB-23-DMA</subfield><subfield code="q">TUM_Paketkauf_2022</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9783110642995</subfield><subfield code="l">UBY01</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9783110642995</subfield><subfield code="l">UPA01</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">UPA_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection>
id	DE-604.BV048392065
illustrated	Not Illustrated
index_date	2024-07-03T20:21:06Z
indexdate	2024-07-10T09:36:50Z
institution	BVB
isbn	9783110642995 9783110643176
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-033770767
oclc_num	1339067603
open_access_boolean
owner	DE-1043 DE-1046 DE-858 DE-Aug4 DE-859 DE-860 DE-739 DE-91 DE-BY-TUM DE-898 DE-BY-UBR DE-706
owner_facet	DE-1043 DE-1046 DE-858 DE-Aug4 DE-859 DE-860 DE-739 DE-91 DE-BY-TUM DE-898 DE-BY-UBR DE-706
physical	1 Online-Ressource (XIV, 250 Seiten)
psigel	ZDB-23-DGG ZDB-23-DMA ZDB-23-DGG FAB_PDA_DGG ZDB-23-DGG FAW_PDA_DGG ZDB-23-DGG FCO_PDA_DGG ZDB-23-DGG FHA_PDA_DGG ZDB-23-DMA ZDB-23-DMA22 ZDB-23-DGG FKE_PDA_DGG ZDB-23-DGG FLA_PDA_DGG ZDB-23-DMA TUM_Paketkauf_2022 ZDB-23-DGG UPA_PDA_DGG
publishDate	2022
publishDateSearch	2022
publishDateSort	2022
publisher	De Gruyter
record_format	marc
series	Advances in analysis and geometry
series2	Advances in analysis and geometry
spelling	Chang, Der-Chen Verfasser (DE-588)128990562 aut The Sub-Laplacian operators of some model domains Der-Chen Chang and Jingzhi Tie Berlin ; Boston De Gruyter [2022] © 2022 1 Online-Ressource (XIV, 250 Seiten) txt rdacontent c rdamedia cr rdacarrier Advances in analysis and geometry volume 7 The book constructs explicitly the fundamental solution of the sub-Laplacian operator for a family of model domains in Cn+1. This type of domain is a good point-wise model for a Cauchy-Rieman (CR) manifold with diagonalizable Levi form. Qualitative results for such operators have been studied extensively, but exact formulas are difficult to derive. Exact formulas are closely related to the underlying geometry and lead to equations of classical types such as hypergeometric equations and Whittaker’s equations. Tie, Jingzhi Verfasser aut Erscheint auch als Druck-Ausgabe 978-3-11-064210-0 Advances in analysis and geometry volume 7 (DE-604)BV045516582 7 https://doi.org/10.1515/9783110642995 Verlag URL des Erstveröffentlichers Volltext
spellingShingle	Chang, Der-Chen Tie, Jingzhi The Sub-Laplacian operators of some model domains Advances in analysis and geometry
title	The Sub-Laplacian operators of some model domains
title_auth	The Sub-Laplacian operators of some model domains
title_exact_search	The Sub-Laplacian operators of some model domains
title_exact_search_txtP	The Sub-Laplacian operators of some model domains
title_full	The Sub-Laplacian operators of some model domains Der-Chen Chang and Jingzhi Tie
title_fullStr	The Sub-Laplacian operators of some model domains Der-Chen Chang and Jingzhi Tie
title_full_unstemmed	The Sub-Laplacian operators of some model domains Der-Chen Chang and Jingzhi Tie
title_short	The Sub-Laplacian operators of some model domains
title_sort	the sub laplacian operators of some model domains
url	https://doi.org/10.1515/9783110642995
volume_link	(DE-604)BV045516582
work_keys_str_mv	AT changderchen thesublaplacianoperatorsofsomemodeldomains AT tiejingzhi thesublaplacianoperatorsofsomemodeldomains

Verfügbarkeit

Es ist kein Print-Exemplar vorhanden.

Fernleihe Bestellen Achtung: Nicht im THWS-Bestand! Volltext öffnen

MARC

Datensatz im Suchindex

Es ist kein Print-Exemplar vorhanden.

Ähnliche Einträge