【摘要】 该文研究正则余弦算子函数的内插和外插．证明了线性算子A在Banach空间X中生成一个指数有界的C-正则余弦函数当且仅当存在Banach空间Y和线性算子B使得：［R这里是C在Y中的有界扩张，B在Y中生成一个强连续余弦算子函数且A＝B|x．更多还原

【Abstract】 In this paper, we study the interpolation and extrapolation theorems of regularizedcosine operator funcitons. We show that the linear Operator a generates a exponentiallybounded C -regularized cosine function on the Banach space X if and only if there exist a Banachspace Y and a linear operator B such that: where C is a bounded extension of C on Y, B generates a strongly continuous cosine operator funciton and A = B |x更多还原