Journal article
Differential Operators Commuting with Finite Convolution Integral Operators: Some Non-Abelian Examples
SIAM journal on applied mathematics, Vol.42(5), pp.941-955
01 Oct 1982
Abstract
Slepian, Landau and Pollak found that a certain finite convolution integral operator on the real line commutes with a much simpler second order differential operator. This opens the way to a detailed analysis of the space of "time and band limited functions" which has found applications in several fields. Here we exhibit some exact analogues of these commutation results with the real line replaced by either a non-Abelian group or a symmetric space. The sphere may be the most natural example for the applications.
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Details
- Title
- Differential Operators Commuting with Finite Convolution Integral Operators: Some Non-Abelian Examples
- Creators
- F. A. GrunbaumL. LonghiM. Perlstadt
- Publication Details
- SIAM journal on applied mathematics, Vol.42(5), pp.941-955
- Publisher
- Society for Industrial and Applied Mathematics
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- [Retired Faculty]
- Identifiers
- 991021880182604721