In this chapter we study a family of multiplicity-free triples on GL (2, Fq) that generalize the well known Gelfand pair associated with the finite hyperbolic plane (see [Terras, Fourier analysis on finite groups and applications. London mathematical society student texts, vol 43. Cambridge University Press, Cambridge, 1999, Chapters 19, 20, 21, and 23]). We suppose that q is an odd prime power (cf. Sect. 3.5) and we denote by (formula presented) the multiplicative characters of Fq (respectively (formula presented)).

Ceccherini-Silberstein, T., Scarabotti, F., & Tolli, F. (2020). Harmonic analysis of the multiplicity-free triple (gl(2, Fq), C, ν). In Lecture Notes in Mathematics (pp. 71-94). GEWERBESTRASSE 11, CHAM, CH-6330, SWITZERLAND : Springer Science and Business Media Deutschland GmbH [10.1007/978-3-030-51607-9_5].

Harmonic analysis of the multiplicity-free triple (gl(2, Fq), C, ν)

Tolli F.
2020

Abstract

In this chapter we study a family of multiplicity-free triples on GL (2, Fq) that generalize the well known Gelfand pair associated with the finite hyperbolic plane (see [Terras, Fourier analysis on finite groups and applications. London mathematical society student texts, vol 43. Cambridge University Press, Cambridge, 1999, Chapters 19, 20, 21, and 23]). We suppose that q is an odd prime power (cf. Sect. 3.5) and we denote by (formula presented) the multiplicative characters of Fq (respectively (formula presented)).
978-3-030-51606-2
Ceccherini-Silberstein, T., Scarabotti, F., & Tolli, F. (2020). Harmonic analysis of the multiplicity-free triple (gl(2, Fq), C, ν). In Lecture Notes in Mathematics (pp. 71-94). GEWERBESTRASSE 11, CHAM, CH-6330, SWITZERLAND : Springer Science and Business Media Deutschland GmbH [10.1007/978-3-030-51607-9_5].
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11590/379200
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