Integral operators in the theory of induced Banach representation II. The bundle approach

[摘要] LetGbe a locally compact group,Ha closed subgroup andLa Banach representation ofH. SupposeUis a Banach representation ofGwhich is induced byL. Here, we continue our program of showing that certain operators of the integrated form ofUcan be written as integral operators with continuous kernels. Specifically, we show that: (1) the representation space of a Banach bundle; (2) the above operators become integral operators on this space with kernels which are continuous cross-sections of an associated kernel bundle.

[学科分类] 数学（综合）