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Special functions on locally compact fields. (English) Zbl 0173.07005

##### Keywords:
special functions
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##### References:
 [1] Bourbaki, N.,Algèbre commutative, Ch. 5 and 6 Hermann, Paris, 1964. · Zbl 0205.34302 [2] Bruhat, F., Sur les répresentations des groupes classiques $$\mathfrak{p}$$ -adiques I, II.Amer. J. Math., 83 (1961), 321–338, 343–368. · Zbl 0107.02504 · doi:10.2307/2372958 [3] Gelfand, I. M. &Graev, M. T., Representations of a group of the second order with elements from a locally compact field, and special functions on locally compact fields.Uspehi Mat. Nauk, Russian Math. Surveys, 18 (1963), 29–100. · Zbl 0166.40201 · doi:10.1070/RM1963v018n04ABEH001140 [4] Lang, S.,Algebraic numbers. Addison-Wesley, Reading, Mass., 1964. · Zbl 0211.38501 [5] Mautner, F. I., Spherical functions over $$\mathfrak{p}$$ -adic fields I, II.Amer. J. Math., 80 (1958), 441–457; 86 (1964), 171–200. · Zbl 0092.12501 · doi:10.2307/2372794 [6] Saito, M., Representations unitaires du groupe des déplacements du plan $$\mathfrak{p}$$ -adic feilds.Proc. Japan Acad., 39 (1963), 407–409. · Zbl 0158.03103 · doi:10.3792/pja/1195522984 [7] Satake, I., Theory of spherical functions on reductive algebraic groups over $$\mathfrak{p}$$ fields.Inst. Hautes Études Sci. Publ. Math., 18 (1964), 229–293. · Zbl 0122.28501 [8] Zygmund, A.,Trigonometric series, 2nd edition, vols. I, II. Cambridge, 1959. · Zbl 0085.05601
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