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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1979 Volume 108(150), Number 4, Pages 483–503 (Mi sm2337)

Local measures connected with Jacquet–Langlands cusp forms over fields of $CM$-type

P. F. Kurchanov


Abstract: 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.

UDC: 517.7

MSC: Primary 10D24; Secondary 12A70

Received: 14.06.1978


 English version:
Mathematics of the USSR-Sbornik, 1980, 36:4, 449–467

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