We define the Chern character of the index class of a $G$-invariant family of $G$-transversally elliptic operators, see [6]. Next we study the Berline–Vergne formula for families in the elliptic and transversally elliptic case.

中文翻译：

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$ G $的横向椭圆族的索引。II

我们定义了$ G $不变型$ G $椭圆椭圆算子的索引类的Chern字符，请参见[6]。接下来，我们研究椭圆形和横向椭圆形情况下家庭的Berline-Vergne公式。