Fourier inversion for semisimple Lie groups of real rank one
Authors:
P. J. Sally Jr. and Garth Warner
Journal:
Bull. Amer. Math. Soc. 78 (1972), 251-254
MSC (1970):
Primary 22E30; Secondary 22D10, 43A30
DOI:
https://doi.org/10.1090/S0002-9904-1972-12944-6
MathSciNet review:
0299733
Full-text PDF Free Access
References | Similar Articles | Additional Information
- Stephen S. Gelbart, Fourier analysis on matrix space, American Mathematical Society, Providence, R.I., 1971. Memoirs of the American Mathematical Society, No. 108. MR 0492066
- I. M. Gel′fand, M. I. Graev, and I. I. Pjateckiĭ-Šapiro, Teoriya predstavleniĭ i avtomorfnye funktsii, Generalized functions, No. 6, Izdat. “Nauka”, Moscow, 1966 (Russian). MR 0220673
- Harish-Chandra, A formula for semisimple Lie groups, Amer. J. Math. 79 (1957), 733–760. MR 96138, DOI https://doi.org/10.2307/2372432
- Harish-Chandra, Harmonic analysis on semisimple Lie groups, Some Recent Advances in the Basic Sciences, Vol. 1 (Proc. Annual Sci. Conf., Belfer Grad. School Sci., Yeshiva Univ., New York, 1962-1964) Belfer Graduate School of Science, Yeshiva Univ., New York, 1966, pp. 35–40. MR 0210832
- Harish-Chandra, Invariant differential operators and distributions on a semisimple Lie algebra, Amer. J. Math. 86 (1964), 534–564. MR 180628, DOI https://doi.org/10.2307/2373023
- Harish-Chandra, Invariant differential operators and distributions on a semisimple Lie algebra, Amer. J. Math. 86 (1964), 534–564. MR 180628, DOI https://doi.org/10.2307/2373023
- Harish-Chandra, Discrete series for semisimple Lie groups. I. Construction of invariant eigendistributions, Acta Math. 113 (1965), 241–318. MR 219665, DOI https://doi.org/10.1007/BF02391779
- Harish-Chandra, Two theorems on semi-simple Lie groups, Ann. of Math. (2) 83 (1966), 74–128. MR 194556, DOI https://doi.org/10.2307/1970472
- Harish-Chandra, Discrete series for semisimple Lie groups. II. Explicit determination of the characters, Acta Math. 116 (1966), 1–111. MR 219666, DOI https://doi.org/10.1007/BF02392813 4. P. J. Sally, Jr. and J. A. Shalika, The Fourier transform on SL(2) over a non-archimedean local field (to appear).
- Garth Warner, Harmonic analysis on semi-simple Lie groups. I, Springer-Verlag, New York-Heidelberg, 1972. Die Grundlehren der mathematischen Wissenschaften, Band 188. MR 0498999
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