The <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mi mathvariant="normal">Cos</mml:mi><mml:mi>λ</mml:mi></mml:msup></mml:math> and <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mi mathvariant="normal">Sin</mml:mi><mml:mi>λ</mml:mi></mml:msup></mml:math> transforms as intertwining operators between generalized principal series representations of <mml:math altimg="si3.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi mathvariant="normal">SL</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="double-struck">K</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

The Cosλ and Sinλ transforms as intertwining operators between generalized principal series representations of SL(n+1,K)

Published:2012-01 Issue:1 Volume:229 Page:267-293
ISSN:0001-8708
Container-title:Advances in Mathematics
language:en
Short-container-title:Advances in Mathematics

Author:

Ólafsson Gestur,Pasquale Angela

Publisher

Elsevier BV

Subject

General Mathematics

Reference45 articles.

1. S. Alesker, The α-cosine transform and intertwining integrals on real Grassmannians, manuscript, 2003.

2. Range characterization of the cosine transform on higher Grassmannians;Alesker;Adv. Math.,2004

3. Special Functions;Andrews,2000

4. Quaternionic determinants;Aslaksen;Math. Intelligencer,1996

5. Spectrum generating operators and intertwining operators for representations induced from a maximal parabolic subgroup;Branson;J. Funct. Anal.,1996

Cited by 17 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Fractional integrals associated with Radon transforms;Forum Mathematicum;2023-07-26

2. The λ-cosine transforms, differential operators, and Funk transforms on Stiefel and Grassmann manifolds;Advances in Mathematics;2021-12

3. Kinematic formulas for tensor valuations;Journal für die reine und angewandte Mathematik (Crelles Journal);2018-03-01

4. Kinematic formulas on the quaternionic plane;Proceedings of the London Mathematical Society;2017-06-01

5. Compact Lie groups: Euler constructions and generalized Dyson conjecture;Transactions of the American Mathematical Society;2017-01-09

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP