Geodesic
On some subspaces in representations of degree two matrix groups with coefficients from a~locally compact disconnected field
Sbornik. Mathematics, Tome 17 (1972) no. 3, pp. 357-372

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The commutativity of certain Hecke algebras of subgroups of $\operatorname{PL}(2,F)$ containing the commutator subgroup is established (here $F$ is a discrete normed field with finite field of residues). Application of these results to representations of $p$-adic groups by automorphic forms on the upper complex halfplane allows one to distinguish subrepresentations belonging to the discrete series. Bibliography: 8 titles. 
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     author = {M. E. Novodvorskii},
     title = {On some subspaces in representations of degree two matrix groups with coefficients from a~locally compact disconnected field},
     journal = {Sbornik. Mathematics},
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     volume = {17},
     number = {3},
     year = {1972},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1972_17_3_a2/}
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M. E. Novodvorskii. On some subspaces in representations of degree two matrix groups with coefficients from a~locally compact disconnected field. Sbornik. Mathematics, Tome 17 (1972) no. 3, pp. 357-372. http://geodesic.mathdoc.fr/item/SM_1972_17_3_a2/