Hasil untuk "math.SP"

Menampilkan 20 dari ~1364332 hasil · dari CrossRef

JSON API
CrossRef Open Access 2023
Weak α(Λ, sp)-continuity for multifunctions

Chawalit Boonpok, Montri Thongmoon

This paper deals with the concepts of upper and lower weakly α(Λ, sp)-continuous multifunctions. Moreover, several characterizations of upper and lower weakly α(Λ, sp)-continuous multifunctions are established.

CrossRef Open Access 2001
Fourier–Jacobi Type Spherical Functions for Discrete Series Representations of Sp(2, $\Bbb R$)

Miki Hirano

In this paper we define a kind of generalized spherical functions on Sp (2, $\Bbb R$ ). We call it ‘Fourier–Jacobi type’, since it can be considered as a generalized Whittaker model associated with the Jacobi maximal parabolic subgroup. Also we give the multiplicity theorem and an explicit formula of these functions for discrete series representations of Sp (2, $\Bbb R$ ).

CrossRef Open Access 1987
Some Supercuspidal Representations of <i>Sp</i><sub>4</sub>(k)

Charles Asmuth

The purpose of this paper is to produce explicit realizations of supercuspidal representations of Sp4(k) where k is a p-adic field with odd residual characteristic. These representations will be constructed using the Weil representation of Sp4(k) associated with a certain 4-dimensional compact orthogonal group OQ over k. The main problem addressed in this paper is the analysis of this representation; we need to find how the supercuspidal summands decompose into irreducible pieces.The problem of decomposing Weil representations has been studied quite a bit already. The Weil representations of SL2(k) associated to 2-dimensional orthogonal groups were used by Casselman [4] and Shalika [9] to produce all supercuspidals of SL2(k). The explicit formulas for these representations were used by Sally and Shalika ([10]) to compute the characters and finally to write down a Plancherel formula for that group.

Halaman 15 dari 68217