Some subregular germs for p-adic Sp4(F)

Shalika's unipotent regular germs were found by the authors in the case of G=Sp4(F). Next, subregular germs are also desirable, for at least f(1) is constructible in another form for any smooth function f by using Shalika germs. Some of them were not so hard as expected although to find all of...

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Main Authors: Kim Yangkon, So Kwangho
Format: Article
Language:English
Published: Wiley 1995-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171295000044
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author Kim Yangkon
So Kwangho
author_facet Kim Yangkon
So Kwangho
author_sort Kim Yangkon
collection DOAJ
description Shalika's unipotent regular germs were found by the authors in the case of G=Sp4(F). Next, subregular germs are also desirable, for at least f(1) is constructible in another form for any smooth function f by using Shalika germs. Some of them were not so hard as expected although to find all of them is still not done explicitly.
format Article
id doaj-art-53da37b8281e4bcdb848cde948def009
institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1995-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-53da37b8281e4bcdb848cde948def0092025-02-03T06:44:32ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251995-01-01181374710.1155/S0161171295000044Some subregular germs for p-adic Sp4(F)Kim Yangkon0So Kwangho1Department of Mathematics, Chonbuk National University, Chonbuk, Chonju 560-756, KoreaDepartment of Mathematics, Chonbuk National University, Chonbuk, Chonju 560-756, KoreaShalika's unipotent regular germs were found by the authors in the case of G=Sp4(F). Next, subregular germs are also desirable, for at least f(1) is constructible in another form for any smooth function f by using Shalika germs. Some of them were not so hard as expected although to find all of them is still not done explicitly.http://dx.doi.org/10.1155/S0161171295000044Shalika germsunipotent orbitsorbital integralssubregular germs.
spellingShingle Kim Yangkon
So Kwangho
Some subregular germs for p-adic Sp4(F)
International Journal of Mathematics and Mathematical Sciences
Shalika germs
unipotent orbits
orbital integrals
subregular germs.
title Some subregular germs for p-adic Sp4(F)
title_full Some subregular germs for p-adic Sp4(F)
title_fullStr Some subregular germs for p-adic Sp4(F)
title_full_unstemmed Some subregular germs for p-adic Sp4(F)
title_short Some subregular germs for p-adic Sp4(F)
title_sort some subregular germs for p adic sp4 f
topic Shalika germs
unipotent orbits
orbital integrals
subregular germs.
url http://dx.doi.org/10.1155/S0161171295000044
work_keys_str_mv AT kimyangkon somesubregulargermsforpadicsp4f
AT sokwangho somesubregulargermsforpadicsp4f