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The Fourier transform and germs of characters (case of Gl\(_n\) over a \(p\)- adic field). (English) Zbl 0266.43007

MSC:
43A25 Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups
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References:
[1] Deligne, P.: Unpublished.
[2] Gelfand, I. M., Kazhdan, D. A.: Representations ofGl n (K) whereK is a local field. Moscow 1971
[3] Harish-Chandra: Harmonic analysis on reductivep-adic groups, notes by G. VanDijk, Springer Lecture Notes162, Berlin-Heidelberg-New York: Springer 1970 · Zbl 0202.41101
[4] Howe, R.: Qualitative results on the representation theory ofGl n over ap-adic field, notes from lectures at the Institute for Advanced Study, 1972
[5] Howe, R.: Two conjectures about reductivep-adic groups, to appear in Proceeding of A.M.S. Summer Institute on Harmonic Analysis, 1972
[6] Jacquet, H., Langlands, R. P.: Automorphic forms onGl 2. Springer Lectures Notes114, Berlin-Heidelberg-New York: Springer 1970 · Zbl 0236.12010
[7] Rao, R.: Orbital integrals in a semi-simple Lie group, to appear, Ann. of Math.
[8] Shalika, J.: A theorem on semisimplep-adic groups. Ann. of Math.95 (1972) · Zbl 0281.22011
[9] van Dijk, G.: Computation of certain induced characters ofp-adic groups. Math. Ann.199, 229-240 (1972) · Zbl 0231.22018 · doi:10.1007/BF01429876
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