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• W2912995980 abstract "In this paper, we investigate the nuclear trace of vector-valued Fourier multipliers on the torus and its applications to the index theory of periodic pseudo-differential operators. First, we characterise the nuclearity of pseudo-differential operators acting on Bochner integrable functions. In this regards, we consider the periodic and the discrete cases. We go on to address the problem of finding sharp sufficient conditions for the nuclearity of vector-valued Fourier multipliers on the torus. We end our investigation with two index formulae. First, we express the index of a vector-valued Fourier multiplier in terms of its operator-valued symbol and then we use this formula for expressing the index of certain elliptic operators belonging to periodic Hormander classes." @default.
• W2912995980 created "2019-02-21" @default.
• W2912995980 creator A5078038833 @default.
• W2912995980 creator A5080194249 @default.
• W2912995980 date "2019-01-28" @default.
• W2912995980 modified "2023-09-28" @default.
• W2912995980 title "The nuclear trace of periodic vector-valued pseudo-differential operators with applications to index theory." @default.
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• W2912995980 hasPublicationYear "2019" @default.
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