WikiDer > Xarish-Chandralar funktsiyasi - Vikipediya

Yilda matematik harmonik tahlil, Xarish-Chandraning Ξ funktsiya a maxsus a bo'yicha sferik funktsiya semisimple Lie grouptomonidan o'rganilgan Xarish-Chandra (1966, 16-bo'lim).

Xarish-Chandra buni aniqlash uchun ishlatgan Xarish-Chandraning Shvarts fazosi.

Uolach (1988), 4.5) ning xususiyatlarining batafsil tavsifini beradi Ξ.

Ta'rif

${ displaystyle Xi (g) = int _ {K} a (kg) ^ { rho} dk,}$

qayerda

• K bilan yarim semiz Lie guruhining maksimal ixcham kichik guruhi Ivasava parchalanishi G=NAK
• g ning elementidir G
• r a Veyl vektori
• a(g) element hisoblanadi a Ivasava parchalanishida g=nak

Adabiyotlar

• Xarish-Chandra (1966), "Yarim oddiy Lie guruhlari bo'yicha ikkita teorema", Matematika yilnomalari, Ikkinchi seriya, 83: 74–128, doi:10.2307/1970472, ISSN 0003-486X, JSTOR 1970472, JANOB 0194556
• Wallach, Nolan R (1988), Haqiqiy reduktiv guruhlar. Men, Sof va amaliy matematika, 132, Boston, MA: Akademik matbuot, ISBN 978-0-12-732960-4, JANOB 0929683