Cuspidal integrals for SL(3)∕Kϵ

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Standard

Cuspidal integrals for SL(3)∕Kϵ. / Flensted-Jensen, Mogens; Kuit, Job J.

I: Indagationes Mathematicae, Bind 29, Nr. 5, 2018, s. 1235-1258.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Flensted-Jensen, M & Kuit, JJ 2018, 'Cuspidal integrals for SL(3)∕Kϵ', Indagationes Mathematicae, bind 29, nr. 5, s. 1235-1258. https://doi.org/10.1016/j.indag.2018.05.005

APA

Flensted-Jensen, M., & Kuit, J. J. (2018). Cuspidal integrals for SL(3)∕Kϵ. Indagationes Mathematicae, 29(5), 1235-1258. https://doi.org/10.1016/j.indag.2018.05.005

Vancouver

Flensted-Jensen M, Kuit JJ. Cuspidal integrals for SL(3)∕Kϵ. Indagationes Mathematicae. 2018;29(5):1235-1258. https://doi.org/10.1016/j.indag.2018.05.005

Author

Flensted-Jensen, Mogens ; Kuit, Job J. / Cuspidal integrals for SL(3)∕Kϵ. I: Indagationes Mathematicae. 2018 ; Bind 29, Nr. 5. s. 1235-1258.

Bibtex

@article{26352a380a6341a5a5439bfef2d20027,
title = "Cuspidal integrals for SL(3)∕Kϵ",
abstract = "We show that for the symmetric spaces SL(3,R)∕SO(1,2)e and SL(3,C)∕SU(1,2) the cuspidal integrals are absolutely convergent. We further determine the behavior of the corresponding Radon transforms and relate the kernels of the Radon transforms to the different series of representations occurring in the Plancherel decomposition of these spaces. Finally we show that for the symmetric space SL(3,H)∕Sp(1,2) the cuspidal integrals are not convergent for all Schwartz functions.",
author = "Mogens Flensted-Jensen and Kuit, {Job J.}",
year = "2018",
doi = "10.1016/j.indag.2018.05.005",
language = "English",
volume = "29",
pages = "1235--1258",
journal = "Indagationes Mathematicae",
issn = "0019-3577",
publisher = "Elsevier",
number = "5",

}

RIS

TY - JOUR

T1 - Cuspidal integrals for SL(3)∕Kϵ

AU - Flensted-Jensen, Mogens

AU - Kuit, Job J.

PY - 2018

Y1 - 2018

N2 - We show that for the symmetric spaces SL(3,R)∕SO(1,2)e and SL(3,C)∕SU(1,2) the cuspidal integrals are absolutely convergent. We further determine the behavior of the corresponding Radon transforms and relate the kernels of the Radon transforms to the different series of representations occurring in the Plancherel decomposition of these spaces. Finally we show that for the symmetric space SL(3,H)∕Sp(1,2) the cuspidal integrals are not convergent for all Schwartz functions.

AB - We show that for the symmetric spaces SL(3,R)∕SO(1,2)e and SL(3,C)∕SU(1,2) the cuspidal integrals are absolutely convergent. We further determine the behavior of the corresponding Radon transforms and relate the kernels of the Radon transforms to the different series of representations occurring in the Plancherel decomposition of these spaces. Finally we show that for the symmetric space SL(3,H)∕Sp(1,2) the cuspidal integrals are not convergent for all Schwartz functions.

UR - http://www.scopus.com/inward/record.url?scp=85047988629&partnerID=8YFLogxK

U2 - 10.1016/j.indag.2018.05.005

DO - 10.1016/j.indag.2018.05.005

M3 - Journal article

AN - SCOPUS:85047988629

VL - 29

SP - 1235

EP - 1258

JO - Indagationes Mathematicae

JF - Indagationes Mathematicae

SN - 0019-3577

IS - 5

ER -

ID: 203519764