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- W3191145986 abstract "Let G be a compact Hausdorff group and H be a closed subgroup of G. In this paper, we show that every bounded linear operator T on Lp(G/H) is a pseudo-differential operator with the symbol σ for 1≤p<∞. We present necessary and sufficient conditions on symbols to ensure that a bounded pseudo-differential operator on L2(G/H) is self-adjoint, normal and present explicit formula for their symbols. A necessary and sufficient condition is also given such that the bounded linear operators on Lp(G/H) posses eigenvalues and eigenfunctions." @default.
- W3191145986 created "2021-08-16" @default.
- W3191145986 creator A5029824703 @default.
- W3191145986 date "2021-04-29" @default.
- W3191145986 modified "2023-09-27" @default.
- W3191145986 title "Characterizations of self-adjointness, normality of pseudo-differential operators on homogeneous space of compact groups" @default.
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- W3191145986 doi "https://doi.org/10.1080/17476933.2021.1913131" @default.
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