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Products of distinct Whittaker coefficients on the metaplectic group and the Relative Trace Formula
Descriptive
TitleInfo
Title
Products of distinct Whittaker coefficients on the metaplectic group and the Relative Trace Formula
Name
(type = personal)
NamePart
(type = family)
Valverde
NamePart
(type = given)
Cesar
NamePart
(type = date)
1984-
DisplayForm
Cesar Valverde
Role
RoleTerm
(authority = RULIB)
author
Name
(type = personal)
NamePart
(type = family)
Mao
NamePart
(type = given)
Zhengyu
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Zhengyu Mao
Affiliation
Advisory Committee
Role
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(authority = RULIB)
chair
Name
(type = personal)
NamePart
(type = family)
Sakellaridis
NamePart
(type = given)
Yiannis
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Yiannis Sakellaridis
Affiliation
Advisory Committee
Role
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(authority = RULIB)
internal member
Name
(type = personal)
NamePart
(type = family)
Sczech
NamePart
(type = given)
Robert
DisplayForm
Robert Sczech
Affiliation
Advisory Committee
Role
RoleTerm
(authority = RULIB)
internal member
Name
(type = personal)
NamePart
(type = family)
Lapid
NamePart
(type = given)
Erez
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Erez Lapid
Affiliation
Advisory Committee
Role
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(authority = RULIB)
outside member
Name
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NamePart
Rutgers University
Role
RoleTerm
(authority = RULIB)
degree grantor
Name
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NamePart
Graduate School - Newark
Role
RoleTerm
(authority = RULIB)
school
TypeOfResource
Text
Genre
(authority = marcgt)
theses
OriginInfo
DateCreated
(qualifier = exact)
2012
DateOther
(qualifier = exact);
(type = degree)
2012-05
Place
PlaceTerm
(type = code)
xx
Language
LanguageTerm
(authority = ISO639-2b);
(type = code)
eng
Abstract
(type = abstract)
In this thesis we obtain a geometric identity between Relative Trace Formula on the metaplectic group and the general linear group. As a consequence of the spectral analysis, we expect to obtain a relation between products of distinct Whittaker coefficients of a cuspidal automorphic representation on the metaplectic group and a non-split period of a related representation on the general linear group. This would generalize famous work of Kohnen and Waldspurger.
Subject
(authority = RUETD)
Topic
Mathematical Sciences
RelatedItem
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TitleInfo
Title
Rutgers University Electronic Theses and Dissertations
Identifier
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ETD
Identifier
ETD_4050
PhysicalDescription
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electronic resource
InternetMediaType
application/pdf
InternetMediaType
text/xml
Extent
iv, 127 p. : ill.
Note
(type = degree)
Ph.D.
Note
(type = bibliography)
Includes bibliographical references
Note
(type = vita)
Includes vita
Note
(type = statement of responsibility)
by Cesar Valverde
Subject
(authority = ETD-LCSH)
Topic
Trace formulas
Subject
(authority = ETD-LCSH)
Topic
Geometrical models
Identifier
(type = hdl)
http://hdl.rutgers.edu/1782.1/rucore10002600001.ETD.000065066
RelatedItem
(type = host)
TitleInfo
Title
Graduate School - Newark Electronic Theses and Dissertations
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rucore10002600001
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NjNbRU
Identifier
(type = doi)
doi:10.7282/T3JW8CVT
Genre
(authority = ExL-Esploro)
ETD doctoral
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Rights
RightsDeclaration
(ID = rulibRdec0006)
The author owns the copyright to this work.
RightsHolder
(type = personal)
Name
FamilyName
Valverde
GivenName
Cesar
Role
Copyright Holder
RightsEvent
Type
Permission or license
DateTime
(encoding = w3cdtf);
(qualifier = exact);
(point = start)
2012-04-29 08:58:47
AssociatedEntity
Name
Cesar Valverde
Role
Copyright holder
Affiliation
Rutgers University. Graduate School - Newark
AssociatedObject
Type
License
Name
Author Agreement License
Detail
I hereby grant to the Rutgers University Libraries and to my school the non-exclusive right to archive, reproduce and distribute my thesis or dissertation, in whole or in part, and/or my abstract, in whole or in part, in and from an electronic format, subject to the release date subsequently stipulated in this submittal form and approved by my school. I represent and stipulate that the thesis or dissertation and its abstract are my original work, that they do not infringe or violate any rights of others, and that I make these grants as the sole owner of the rights to my thesis or dissertation and its abstract. I represent that I have obtained written permissions, when necessary, from the owner(s) of each third party copyrighted matter to be included in my thesis or dissertation and will supply copies of such upon request by my school. I acknowledge that RU ETD and my school will not distribute my thesis or dissertation or its abstract if, in their reasonable judgment, they believe all such rights have not been secured. I acknowledge that I retain ownership rights to the copyright of my work. I also retain the right to use all or part of this thesis or dissertation in future works, such as articles or books.
Copyright
Status
Copyright protected
Availability
Status
Open
Reason
Permission or license
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Technical
FileSize
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698880
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windows xp
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706560
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