This article is cited in 7 papers

The differentiation operator on subsets of the field of $p$-adic numbers

A. N. Kochubei


Abstract: A study is made of the spectral properties of the operator $D^\alpha$ (the $p$-adic analogue of the operator of fractional differentiation) in the space $L_2(G)$, where $G\subset Q_p$ is an open subset.

UDC: 517.948.35+513.86

MSC: Primary 47S10, 47F05, 47E05, 12H25, 26A33; Secondary 11S80, 11F85, 47B25, 47N50

Received: 13.09.1991

 English version: Russian Academy of Sciences. Izvestiya Mathematics, 1993, 41:2, 289–305

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