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

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  • I. E. Schochetman

Abstract

Let G be a locally compact group, H a closed subgroup and L a Banach representation of H . Suppose U is a Banach representation of G which is induced by L . Here, we continue our program of showing that certain operators of the integrated form of U can 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.

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  • I. E. Schochetman, 1981. "Integral operators in the theory of induced Banach representation II. The bundle approach," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 4, pages 1-16, January.
    • Handle: RePEc:hin:jijmms:402924
    DOI: 10.1155/S016117128100046X
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