Geodesic
Local measures connected with Jacquet–Langlands cusp forms over fields of $CM$-type
Sbornik. Mathematics, Tome 36 (1980) no. 4, pp. 449-467 
P. F. Kurchanov. Local measures connected with Jacquet–Langlands cusp forms over fields of $CM$-type. Sbornik. Mathematics, Tome 36 (1980) no. 4, pp. 449-467. http://geodesic.mathdoc.fr/item/SM_1980_36_4_a0/
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     title = {Local measures connected with {Jacquet{\textendash}Langlands} cusp forms over fields of $CM$-type},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1980_36_4_a0/}
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In this paper local measures are associated to Dirichlet series of certain cusp forms on $GL(2)$ over a $CM$-field. In certain cases the measures are proved to be bounded. This guarantees the existence of $p$-adic Mellin transform. Bibliograhy: 4 titles.

[1] R. Godeman, “Zametki po teorii Zhake– Lenglendsa”, Matematika, 18:2 (1974), 28–78

[2] E. Zhake, R. Lenglends, Avtomorfnye formy na $GL(2)$, izd-vo “Mir”, Moskva, 1973 | MR

[3] Yu. I. Manin, “Nearkhimedovo integrirovanie i $p$-adicheskie funktsii Zhake–Lenglendsa”, Uspekhi matem. nauk, XXXI:1(185) (1976), 5–53 | MR

[4] A. Weil, “Dirichlet Series and automorphic Forms”, Lecture Notes in Math., 189, Springer-Verlag, Berlin, 1971